CINXE.COM
ច្បាប់ហ៊ូក - វិគីភីឌា
<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-available" lang="km" dir="ltr"> <head> <meta charset="UTF-8"> <title>ច្បាប់ហ៊ូក - វិគីភីឌា</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )kmwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":[".",","],"wgDigitTransformTable":["0\t1\t2\t3\t4\t5\t6\t7\t8\t9", "០\t១\t២\t៣\t៤\t៥\t៦\t៧\t៨\t៩"],"wgDefaultDateFormat":"km","wgMonthNames":["","ខែមករា","ខែកុម្ភៈ","ខែមីនា","ខែមេសា","ខែឧសភា","ខែមិថុនា","ខែកក្កដា","ខែសីហា","ខែកញ្ញា","ខែតុលា","ខែវិច្ឆិកា","ខែធ្នូ"],"wgRequestId":"c9f70d7b-4151-4ab6-bad7-b51e39832da1","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"ច្បាប់ហ៊ូក","wgTitle":"ច្បាប់ហ៊ូក","wgCurRevisionId":130276,"wgRevisionId":130276,"wgArticleId":11496,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["មេកានិច","គ្រោងវិភាគ"],"wgPageViewLanguage":"km","wgPageContentLanguage":"km","wgPageContentModel":"wikitext","wgRelevantPageName":"ច្បាប់ហ៊ូក", "wgRelevantArticleId":11496,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"km","pageLanguageDir":"ltr","pageVariantFallbacks":"km"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":20000,"wgRelatedArticlesCompat":[],"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q170282","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled": false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false,"wgSiteNoticeId":"2.0"};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.math.styles":"ready","ext.cite.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready","ext.dismissableSiteNotice.styles":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","site","mediawiki.page.ready","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init", "ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking","ext.dismissableSiteNotice"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=km&modules=ext.cite.styles%7Cext.dismissableSiteNotice.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=km&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=km&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.5"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/km/2/2d/Ressort.png"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="1215"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/km/2/2d/Ressort.png"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="810"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="648"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="ច្បាប់ហ៊ូក - វិគីភីឌា"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//km.m.wikipedia.org/wiki/%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80"> <link rel="alternate" type="application/x-wiki" title="កែប្រែ" href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="វិគីភីឌា (km)"> <link rel="EditURI" type="application/rsd+xml" href="//km.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://km.wikipedia.org/wiki/%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.km"> <link rel="alternate" type="application/atom+xml" title="Atom Feed នៃ វិគីភីឌា" href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9F%86%E1%9E%9B%E1%9E%B6%E1%9E%9F%E1%9F%8B%E1%9E%94%E1%9F%92%E1%9E%8A%E1%9E%BC%E1%9E%9A%E1%9E%90%E1%9F%92%E1%9E%98%E1%9E%B8%E1%9F%97&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-ច្បាប់ហ៊ូក rootpage-ច្បាប់ហ៊ូក skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Jump to content</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="បញ្ជីដើម" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">បញ្ជីដើម</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">បញ្ជីដើម</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">ប្ដូរទីតាំងទៅរបារចំហៀង</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">លាក់</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> ការណែនាំ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/%E1%9E%91%E1%9F%86%E1%9E%96%E1%9F%90%E1%9E%9A%E1%9E%8A%E1%9E%BE%E1%9E%98" title="ចូលមើលទំព័រដើម [z]" accesskey="z"><span>ទំព័រដើម</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9F%86%E1%9E%9B%E1%9E%B6%E1%9E%9F%E1%9F%8B%E1%9E%94%E1%9F%92%E1%9E%8A%E1%9E%BC%E1%9E%9A%E1%9E%90%E1%9F%92%E1%9E%98%E1%9E%B8%E1%9F%97" title="បញ្ជីបន្លាស់ប្ដូរថ្មីៗនៅក្នុងវិគីនេះ [r]" accesskey="r"><span>បន្លាស់ប្ដូរថ្មីៗ</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/%E1%9E%87%E1%9F%86%E1%9E%93%E1%9E%BD%E1%9E%99:%E1%9E%98%E1%9E%B6%E1%9E%8F%E1%9E%B7%E1%9E%80%E1%9E%B6" title="ជំនួយបន្ថែម"><span>ជំនួយ</span></a></li><li id="n-newpages" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%91%E1%9F%86%E1%9E%96%E1%9F%90%E1%9E%9A%E1%9E%90%E1%9F%92%E1%9E%98%E1%9E%B8%E1%9F%97"><span>ទំព័រថ្មីៗ</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%91%E1%9F%86%E1%9E%96%E1%9F%90%E1%9E%9A%E1%9E%85%E1%9F%83%E1%9E%8A%E1%9E%93%E1%9F%92%E1%9E%99" title="ផ្ទុកទំព័រចៃដន្យមួយទំព័រ [x]" accesskey="x"><span>ទំព័រចៃដន្យ</span></a></li> </ul> </div> </div> <div id="p-community" class="vector-menu mw-portlet mw-portlet-community" > <div class="vector-menu-heading"> សហគមន៍ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-admin" class="mw-list-item"><a href="/wiki/%E1%9E%9C%E1%9E%B7%E1%9E%82%E1%9E%B8%E1%9E%97%E1%9E%B8%E1%9E%8C%E1%9E%B6:%E1%9E%9F%E1%9E%BB%E1%9F%86%E1%9E%92%E1%9F%92%E1%9E%9C%E1%9E%BE%E1%9E%87%E1%9E%B6%E2%80%8B%E1%9E%A2%E1%9F%92%E1%9E%93%E1%9E%80%E2%80%8B%E1%9E%82%E1%9F%92%E1%9E%9A%E1%9E%94%E1%9F%8B%E1%9E%82%E1%9F%92%E1%9E%9A%E1%9E%84"><span>សុំធ្វើជាអ្នកអភិបាល</span></a></li><li id="n-rename" class="mw-list-item"><a href="/wiki/%E1%9E%9C%E1%9E%B7%E1%9E%82%E1%9E%B8%E1%9E%97%E1%9E%B8%E1%9E%8C%E1%9E%B6:%E1%9E%9F%E1%9E%BB%E1%9F%86%E1%9E%94%E1%9F%92%E1%9E%8F%E1%9E%BC%E1%9E%9A%E1%9E%A2%E1%9E%8F%E1%9F%92%E1%9E%8F%E1%9E%93%E1%9E%B6%E1%9E%98"><span>សុំប្តូរអត្តនាម</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/%E1%9E%9C%E1%9E%B7%E1%9E%82%E1%9E%B8%E1%9E%97%E1%9E%B8%E1%9E%8C%E1%9E%B6:%E2%80%8B%E1%9E%95%E1%9E%8F%E1%9E%90%E1%9E%9B%E1%9E%9F%E1%9E%A0%E1%9E%82%E1%9E%98%E1%9E%93%E1%9F%8D" title="អំពីគម្រោង អ្វីដែលអ្នកអាចធ្វើបាន និងកន្លែងស្វែងរកព័ត៌មាន"><span>ផតថលសហគមន៍</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/%E1%9E%91%E1%9F%86%E1%9E%96%E1%9F%90%E1%9E%9A%E1%9E%8A%E1%9E%BE%E1%9E%98" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="វិគីភីឌា" src="/static/images/mobile/copyright/wikipedia-wordmark-km.svg" style="width: 5.0625em; height: 2em;"> <img class="mw-logo-tagline" alt="" src="/static/images/mobile/copyright/wikipedia-tagline-km.svg" width="81" height="14" style="width: 5.0625em; height: 0.875em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%9F%E1%9F%92%E1%9E%9C%E1%9F%82%E1%9E%84%E1%9E%9A%E1%9E%80" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="ស្វែងរកក្នុងវិគីភីឌា [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>ស្វែងរក</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="ស្វែងរកក្នុងវិគីភីឌា" aria-label="ស្វែងរកក្នុងវិគីភីឌា" autocapitalize="sentences" title="ស្វែងរកក្នុងវិគីភីឌា [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="ពិសេស:ស្វែងរក"> </div> <button class="cdx-button cdx-search-input__end-button">ស្វែងរក</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="ឧបករណ៍ផ្ទាល់ខ្លួន"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Appearance" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Appearance</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=km.wikipedia.org&uselang=km" class=""><span>បរិច្ចាគ</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9E%84%E1%9F%92%E1%9E%80%E1%9E%BE%E1%9E%8F%E1%9E%82%E1%9E%8E%E1%9E%93%E1%9E%B8&returnto=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80" title="អ្នកត្រូវបានលើកទឹកចិត្តបង្កើតគណនីនិងកត់ឈ្មោះចូល។ ប៉ុន្តែនេះមិនមែនជាការបង្ខំទេ។" class=""><span>បង្កើតគណនី</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%80%E1%9E%8F%E1%9F%8B%E1%9E%88%E1%9F%92%E1%9E%98%E1%9F%84%E1%9F%87%E1%9E%85%E1%9E%BC%E1%9E%9B%E1%9E%9A%E1%9E%94%E1%9E%9F%E1%9F%8B%E1%9E%A2%E1%9F%92%E1%9E%93%E1%9E%80%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%BE%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%B6%E1%9E%9F%E1%9F%8B&returnto=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80" title="អ្នកត្រូវបានលើកទឹកចិត្តឱ្យកត់ឈ្មោះចូល។ ប៉ុន្តែនេះមិនមែនជាការបង្ខំទេ។ [o]" accesskey="o" class=""><span>កត់ឈ្មោះចូល</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="ជម្រើសផ្សេងទៀត" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="ឧបករណ៍ផ្ទាល់ខ្លួន" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">ឧបករណ៍ផ្ទាល់ខ្លួន</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="បញ្ជីសម្រាប់អ្នកប្រើប្រាស់" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=km.wikipedia.org&uselang=km"><span>បរិច្ចាគ</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9E%84%E1%9F%92%E1%9E%80%E1%9E%BE%E1%9E%8F%E1%9E%82%E1%9E%8E%E1%9E%93%E1%9E%B8&returnto=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80" title="អ្នកត្រូវបានលើកទឹកចិត្តបង្កើតគណនីនិងកត់ឈ្មោះចូល។ ប៉ុន្តែនេះមិនមែនជាការបង្ខំទេ។"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>បង្កើតគណនី</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%80%E1%9E%8F%E1%9F%8B%E1%9E%88%E1%9F%92%E1%9E%98%E1%9F%84%E1%9F%87%E1%9E%85%E1%9E%BC%E1%9E%9B%E1%9E%9A%E1%9E%94%E1%9E%9F%E1%9F%8B%E1%9E%A2%E1%9F%92%E1%9E%93%E1%9E%80%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%BE%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%B6%E1%9E%9F%E1%9F%8B&returnto=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80" title="អ្នកត្រូវបានលើកទឹកចិត្តឱ្យកត់ឈ្មោះចូល។ ប៉ុន្តែនេះមិនមែនជាការបង្ខំទេ។ [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>កត់ឈ្មោះចូល</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> ទំព័រសម្រាប់អ្នកកែសម្រួលដែលបានកត់ឈ្មោះចេញ <a href="/wiki/%E1%9E%87%E1%9F%86%E1%9E%93%E1%9E%BD%E1%9E%99:Introduction" aria-label="ស្វែងយល់បន្ថែមអំពីការកែសម្រួល"><span>ស្វែងយល់បន្ថែម</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%9A%E1%9E%BD%E1%9E%98%E1%9E%85%E1%9F%86%E1%9E%8E%E1%9F%82%E1%9E%80%E1%9E%9A%E1%9E%94%E1%9E%9F%E1%9F%8B%E1%9E%81%E1%9F%92%E1%9E%89%E1%9E%BB%E1%9F%86" title="បញ្ជីកំណែប្រែធ្វើឡើងពីអាសយដ្ឋាន IP នេះ [y]" accesskey="y"><span>ការរួមចំណែក</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%96%E1%9E%B7%E1%9E%97%E1%9E%B6%E1%9E%80%E1%9F%92%E1%9E%9F%E1%9E%B6%E1%9E%9A%E1%9E%94%E1%9E%9F%E1%9F%8B%E1%9E%81%E1%9F%92%E1%9E%89%E1%9E%BB%E1%9F%86" title="ការពិភាក្សាអំពីកំណែប្រែដែលធ្វើឡើងចេញពីអាសយដ្ឋាន IP នេះ [n]" accesskey="n"><span>ការពិភាក្សា</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><div id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv class=\"mw-dismissable-notice-close\"\u003E[\u003Ca tabindex=\"0\" role=\"button\"\u003Eលាក់\u003C/a\u003E]\u003C/div\u003E\u003Cdiv class=\"mw-dismissable-notice-body\"\u003E\u003C!-- CentralNotice --\u003E\u003Cdiv id=\"localNotice\" data-nosnippet=\"\"\u003E\u003Cdiv class=\"sitenotice\" lang=\"km\" dir=\"ltr\"\u003E\u003Cstyle data-mw-deduplicate=\"TemplateStyles:r296058\"\u003E.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}html.client-js body.skin-minerva .mw-parser-output .mbox-text-span{margin-left:23px!important}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}\u003C/style\u003E\u003Ctable class=\"plainlinks metadata ambox ambox-notice\" role=\"presentation\"\u003E\u003Ctbody\u003E\u003Ctr\u003E\u003Ctd class=\"mbox-image\"\u003E\u003Cdiv class=\"mbox-image-div\"\u003E\u003Cspan typeof=\"mw:File\"\u003E\u003Cspan\u003E\u003Cimg alt=\"\" src=\"//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Information_icon4.svg/40px-Information_icon4.svg.png\" decoding=\"async\" width=\"40\" height=\"40\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Information_icon4.svg/60px-Information_icon4.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1d/Information_icon4.svg/80px-Information_icon4.svg.png 2x\" data-file-width=\"620\" data-file-height=\"620\" /\u003E\u003C/span\u003E\u003C/span\u003E\u003C/div\u003E\u003C/td\u003E\u003Ctd class=\"mbox-text\"\u003E\u003Cdiv class=\"mbox-text-span\"\u003Eក្រុមការងារយើង កំពុងស្វែងរកអ្នកស្ម័គ្រចិត្តដែលចង់ចូលរួមពង្រីកបណ្ដាញសមគមន៍វិគីភីឌាយើង។ \u003Cbr /\u003E\nសូមទំនាក់ទំនងមកកាន់ក្រុមការងារយើង តាមរយៈបណ្ដាញសង្គម social media ខាងក្រោម៖\u003C/div\u003E\u003C/td\u003E\u003C/tr\u003E\u003C/tbody\u003E\u003C/table\u003E\n\u003Cdiv class=\"center\"\u003E\n\u003Cp\u003E\u003Csmall\u003E\n\u003Ca rel=\"nofollow\" class=\"external text\" href=\"https://facebook.com/kmwp.fb\"\u003EFB Fan Page\u003C/a\u003E |\n\u003Ca rel=\"nofollow\" class=\"external text\" href=\"https://twitter.com/KhmerWikipedia\"\u003ETwitter\u003C/a\u003E |\n\u003Ca class=\"external text\" href=\"https://lists.wikimedia.org/mailman/listinfo/wikimedia-kh\"\u003EMailing List\u003C/a\u003E\u003C/small\u003E\n\u003C/p\u003E\n\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="មាតិកា" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">មាតិកា</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ប្ដូរទីតាំងទៅរបារចំហៀង</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">លាក់</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">ក្បាលទំព័រ</div> </a> </li> <li id="toc-អេឡាស្ទិច" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#អេឡាស្ទិច"> <div class="vector-toc-text"> <span class="vector-toc-numb">១</span> <span>អេឡាស្ទិច</span> </div> </a> <ul id="toc-អេឡាស្ទិច-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក"> <div class="vector-toc-text"> <span class="vector-toc-numb">២</span> <span>កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក</span> </div> </a> <button aria-controls="toc-កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក subsection</span> </button> <ul id="toc-កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក-sublist" class="vector-toc-list"> <li id="toc-សម្ភារៈអ៊ីសូត្រូប" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#សម្ភារៈអ៊ីសូត្រូប"> <div class="vector-toc-text"> <span class="vector-toc-numb">២.១</span> <span>សម្ភារៈអ៊ីសូត្រូប</span> </div> </a> <ul id="toc-សម្ភារៈអ៊ីសូត្រូប-sublist" class="vector-toc-list"> <li id="toc-ច្បាប់ហ៊ូកសម្រាប់សភាពប្លង់នៃកុងត្រាំង" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#ច្បាប់ហ៊ូកសម្រាប់សភាពប្លង់នៃកុងត្រាំង"> <div class="vector-toc-text"> <span class="vector-toc-numb">២.១.១</span> <span>ច្បាប់ហ៊ូកសម្រាប់សភាពប្លង់នៃកុងត្រាំង</span> </div> </a> <ul id="toc-ច្បាប់ហ៊ូកសម្រាប់សភាពប្លង់នៃកុងត្រាំង-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-សម្ភារៈអានីសូត្រូប" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#សម្ភារៈអានីសូត្រូប"> <div class="vector-toc-text"> <span class="vector-toc-numb">២.២</span> <span>សម្ភារៈអានីសូត្រូប</span> </div> </a> <ul id="toc-សម្ភារៈអានីសូត្រូប-sublist" class="vector-toc-list"> <li id="toc-ទម្រង់ម៉ាទ្រីស_នៃតង់ស៊័រ_Stiffness" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#ទម្រង់ម៉ាទ្រីស_នៃតង់ស៊័រ_Stiffness"> <div class="vector-toc-text"> <span class="vector-toc-numb">២.២.១</span> <span>ទម្រង់ម៉ាទ្រីស នៃតង់ស៊័រ Stiffness</span> </div> </a> <ul id="toc-ទម្រង់ម៉ាទ្រីស_នៃតង់ស៊័រ_Stiffness-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-ឯកសារយោង" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ឯកសារយោង"> <div class="vector-toc-text"> <span class="vector-toc-numb">៣</span> <span>ឯកសារយោង</span> </div> </a> <ul id="toc-ឯកសារយោង-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="មាតិកា" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">ច្បាប់ហ៊ូក</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in ៦៩ languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-69" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">៦៩ ភាសា</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Hookesches_Gesetz" title="Hookesches Gesetz – អាល្លឺម៉ង (ស្វីស)" lang="gsw" hreflang="gsw" data-title="Hookesches Gesetz" data-language-autonym="Alemannisch" data-language-local-name="អាល្លឺម៉ង (ស្វីស)" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8B%A8%E1%88%81%E1%8A%AD_%E1%88%85%E1%8C%8D" title="የሁክ ህግ – អាំហារិក" lang="am" hreflang="am" data-title="የሁክ ህግ" data-language-autonym="አማርኛ" data-language-local-name="អាំហារិក" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%82%D8%A7%D9%86%D9%88%D9%86_%D9%87%D9%88%D9%83" title="قانون هوك – អារ៉ាប់" lang="ar" hreflang="ar" data-title="قانون هوك" data-language-autonym="العربية" data-language-local-name="អារ៉ាប់" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Llei_d%27elasticid%C3%A1_de_Hooke" title="Llei d'elasticidá de Hooke – អាស្ទូរី" lang="ast" hreflang="ast" data-title="Llei d'elasticidá de Hooke" data-language-autonym="Asturianu" data-language-local-name="អាស្ទូរី" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Huk_qanunu" title="Huk qanunu – អាស៊ែបៃហ្សង់" lang="az" hreflang="az" data-title="Huk qanunu" data-language-autonym="Azərbaycanca" data-language-local-name="អាស៊ែបៃហ្សង់" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%93%D1%83%D0%BA%D0%B0" title="Закон Гука – បេឡារុស" lang="be" hreflang="be" data-title="Закон Гука" data-language-autonym="Беларуская" data-language-local-name="បេឡារុស" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%BD%D0%B0_%D0%A5%D1%83%D0%BA" title="Закон на Хук – ប៊ុលហ្ការី" lang="bg" hreflang="bg" data-title="Закон на Хук" data-language-autonym="Български" data-language-local-name="ប៊ុលហ្ការី" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B9%E0%A7%81%E0%A6%95%E0%A7%87%E0%A6%B0_%E0%A6%B8%E0%A7%82%E0%A6%A4%E0%A7%8D%E0%A6%B0" title="হুকের সূত্র – បង់ក្លាដែស" lang="bn" hreflang="bn" data-title="হুকের সূত্র" data-language-autonym="বাংলা" data-language-local-name="បង់ក្លាដែស" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Hookeov_zakon" title="Hookeov zakon – បូស្នី" lang="bs" hreflang="bs" data-title="Hookeov zakon" data-language-autonym="Bosanski" data-language-local-name="បូស្នី" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Llei_de_Hooke" title="Llei de Hooke – កាតាឡាន" lang="ca" hreflang="ca" data-title="Llei de Hooke" data-language-autonym="Català" data-language-local-name="កាតាឡាន" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Hook%C5%AFv_z%C3%A1kon" title="Hookův zákon – ឆែក" lang="cs" hreflang="cs" data-title="Hookův zákon" data-language-autonym="Čeština" data-language-local-name="ឆែក" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%93%D1%83%D0%BA_%D1%81%D0%B0%D0%BA%D0%BA%D1%83%D0%BD%C4%95" title="Гук саккунĕ – ឈូវ៉ាស" lang="cv" hreflang="cv" data-title="Гук саккунĕ" data-language-autonym="Чӑвашла" data-language-local-name="ឈូវ៉ាស" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Hookes_lov" title="Hookes lov – ដាណឺម៉ាក" lang="da" hreflang="da" data-title="Hookes lov" data-language-autonym="Dansk" data-language-local-name="ដាណឺម៉ាក" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Hookesches_Gesetz" title="Hookesches Gesetz – អាល្លឺម៉ង់" lang="de" hreflang="de" data-title="Hookesches Gesetz" data-language-autonym="Deutsch" data-language-local-name="អាល្លឺម៉ង់" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9D%CF%8C%CE%BC%CE%BF%CF%82_%CF%84%CE%BF%CF%85_%CE%A7%CE%BF%CF%85%CE%BA" title="Νόμος του Χουκ – ក្រិក" lang="el" hreflang="el" data-title="Νόμος του Χουκ" data-language-autonym="Ελληνικά" data-language-local-name="ក្រិក" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Hooke%27s_law" title="Hooke's law – អង់គ្លេស" lang="en" hreflang="en" data-title="Hooke's law" data-language-autonym="English" data-language-local-name="អង់គ្លេស" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Le%C4%9Do_de_Hooke" title="Leĝo de Hooke – អេស្ពេរ៉ាន់តូ" lang="eo" hreflang="eo" data-title="Leĝo de Hooke" data-language-autonym="Esperanto" data-language-local-name="អេស្ពេរ៉ាន់តូ" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Ley_de_elasticidad_de_Hooke" title="Ley de elasticidad de Hooke – អេស្ប៉ាញ" lang="es" hreflang="es" data-title="Ley de elasticidad de Hooke" data-language-autonym="Español" data-language-local-name="អេស្ប៉ាញ" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Hooke%27i_seadus" title="Hooke'i seadus – អេស្តូនី" lang="et" hreflang="et" data-title="Hooke'i seadus" data-language-autonym="Eesti" data-language-local-name="អេស្តូនី" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Hookeren_elastikotasun_legea" title="Hookeren elastikotasun legea – បាសខ៍" lang="eu" hreflang="eu" data-title="Hookeren elastikotasun legea" data-language-autonym="Euskara" data-language-local-name="បាសខ៍" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%82%D8%A7%D9%86%D9%88%D9%86_%D9%87%D9%88%DA%A9" title="قانون هوک – ភឺសៀន" lang="fa" hreflang="fa" data-title="قانون هوک" data-language-autonym="فارسی" data-language-local-name="ភឺសៀន" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Hooken_laki" title="Hooken laki – ហ្វាំងឡង់" lang="fi" hreflang="fi" data-title="Hooken laki" data-language-autonym="Suomi" data-language-local-name="ហ្វាំងឡង់" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Loi_de_Hooke" title="Loi de Hooke – បារាំង" lang="fr" hreflang="fr" data-title="Loi de Hooke" data-language-autonym="Français" data-language-local-name="បារាំង" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Dl%C3%AD_Hooke" title="Dlí Hooke – អៀរឡង់" lang="ga" hreflang="ga" data-title="Dlí Hooke" data-language-autonym="Gaeilge" data-language-local-name="អៀរឡង់" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Lei_de_Hooke" title="Lei de Hooke – ហ្កាលីស្យាន" lang="gl" hreflang="gl" data-title="Lei de Hooke" data-language-autonym="Galego" data-language-local-name="ហ្កាលីស្យាន" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%95%D7%A7_%D7%94%D7%95%D7%A7" title="חוק הוק – ហេប្រឺ" lang="he" hreflang="he" data-title="חוק הוק" data-language-autonym="עברית" data-language-local-name="ហេប្រឺ" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B9%E0%A5%81%E0%A4%95_%E0%A4%95%E0%A4%BE_%E0%A4%A8%E0%A4%BF%E0%A4%AF%E0%A4%AE" title="हुक का नियम – ហិណ្ឌី" lang="hi" hreflang="hi" data-title="हुक का नियम" data-language-autonym="हिन्दी" data-language-local-name="ហិណ្ឌី" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Hookeov_zakon" title="Hookeov zakon – ក្រូអាត" lang="hr" hreflang="hr" data-title="Hookeov zakon" data-language-autonym="Hrvatski" data-language-local-name="ក្រូអាត" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Hooke-t%C3%B6rv%C3%A9ny" title="Hooke-törvény – ហុងគ្រី" lang="hu" hreflang="hu" data-title="Hooke-törvény" data-language-autonym="Magyar" data-language-local-name="ហុងគ្រី" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%80%D5%B8%D6%82%D5%AF%D5%AB_%D6%85%D6%80%D5%A5%D5%B6%D6%84" title="Հուկի օրենք – អាមេនី" lang="hy" hreflang="hy" data-title="Հուկի օրենք" data-language-autonym="Հայերեն" data-language-local-name="អាមេនី" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Hukum_Hooke" title="Hukum Hooke – ឥណ្ឌូណេស៊ី" lang="id" hreflang="id" data-title="Hukum Hooke" data-language-autonym="Bahasa Indonesia" data-language-local-name="ឥណ្ឌូណេស៊ី" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Legge_di_Hooke" title="Legge di Hooke – អ៊ីតាលី" lang="it" hreflang="it" data-title="Legge di Hooke" data-language-autonym="Italiano" data-language-local-name="អ៊ីតាលី" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%95%E3%83%83%E3%82%AF%E3%81%AE%E6%B3%95%E5%89%87" title="フックの法則 – ជប៉ុន" lang="ja" hreflang="ja" data-title="フックの法則" data-language-autonym="日本語" data-language-local-name="ជប៉ុន" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%B0%E1%83%A3%E1%83%99%E1%83%98%E1%83%A1_%E1%83%99%E1%83%90%E1%83%9C%E1%83%9D%E1%83%9C%E1%83%98" title="ჰუკის კანონი – ហ្សកហ្ស៊ី" lang="ka" hreflang="ka" data-title="ჰუკის კანონი" data-language-autonym="ქართული" data-language-local-name="ហ្សកហ្ស៊ី" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%93%D1%83%D0%BA_%D0%B7%D0%B0%D2%A3%D1%8B" title="Гук заңы – កាហ្សាក់" lang="kk" hreflang="kk" data-title="Гук заңы" data-language-autonym="Қазақша" data-language-local-name="កាហ្សាក់" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B9%E0%B3%81%E0%B2%95%E0%B3%8D%E2%80%8C%E0%B2%A8_%E0%B2%A8%E0%B2%BF%E0%B2%AF%E0%B2%AE" title="ಹುಕ್ನ ನಿಯಮ – ខាណាដា" lang="kn" hreflang="kn" data-title="ಹುಕ್ನ ನಿಯಮ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="ខាណាដា" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%9B%85%EC%9D%98_%EB%B2%95%EC%B9%99" title="훅의 법칙 – កូរ៉េ" lang="ko" hreflang="ko" data-title="훅의 법칙" data-language-autonym="한국어" data-language-local-name="កូរ៉េ" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Lex_Hookiana" title="Lex Hookiana – ឡាតំាង" lang="la" hreflang="la" data-title="Lex Hookiana" data-language-autonym="Latina" data-language-local-name="ឡាតំាង" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Huko_d%C4%97snis" title="Huko dėsnis – លីទុយអានី" lang="lt" hreflang="lt" data-title="Huko dėsnis" data-language-autonym="Lietuvių" data-language-local-name="លីទុយអានី" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Huka_likums" title="Huka likums – ឡាតវី" lang="lv" hreflang="lv" data-title="Huka likums" data-language-autonym="Latviešu" data-language-local-name="ឡាតវី" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A5%D1%83%D0%BA%D0%BE%D0%B2_%D0%B7%D0%B0%D0%BA%D0%BE%D0%BD" title="Хуков закон – ម៉ាសេដូនី" lang="mk" hreflang="mk" data-title="Хуков закон" data-language-autonym="Македонски" data-language-local-name="ម៉ាសេដូនី" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%93%D1%83%D0%BA%D0%B8%D0%B9%D0%BD_%D1%85%D1%83%D1%83%D0%BB%D1%8C" title="Гукийн хууль – ម៉ុងហ្គោលី" lang="mn" hreflang="mn" data-title="Гукийн хууль" data-language-autonym="Монгол" data-language-local-name="ម៉ុងហ្គោលី" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Hukum_Hooke" title="Hukum Hooke – ម៉ាឡេ" lang="ms" hreflang="ms" data-title="Hukum Hooke" data-language-autonym="Bahasa Melayu" data-language-local-name="ម៉ាឡេ" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Li%C4%A1i_ta%27_Hooke" title="Liġi ta' Hooke – ម៉ាល់តា" lang="mt" hreflang="mt" data-title="Liġi ta' Hooke" data-language-autonym="Malti" data-language-local-name="ម៉ាល់តា" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wet_van_Hooke" title="Wet van Hooke – ហូឡង់" lang="nl" hreflang="nl" data-title="Wet van Hooke" data-language-autonym="Nederlands" data-language-local-name="ហូឡង់" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Hooke-lova" title="Hooke-lova – ន័រវែស នីនូស" lang="nn" hreflang="nn" data-title="Hooke-lova" data-language-autonym="Norsk nynorsk" data-language-local-name="ន័រវែស នីនូស" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Hookes_lov" title="Hookes lov – ន័រវែស បុកម៉ាល់" lang="nb" hreflang="nb" data-title="Hookes lov" data-language-autonym="Norsk bokmål" data-language-local-name="ន័រវែស បុកម៉ាល់" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/L%C3%A8i_de_Hooke" title="Lèi de Hooke – អូសីតាន់" lang="oc" hreflang="oc" data-title="Lèi de Hooke" data-language-autonym="Occitan" data-language-local-name="អូសីតាន់" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Prawo_Hooke%E2%80%99a" title="Prawo Hooke’a – ប៉ូឡូញ" lang="pl" hreflang="pl" data-title="Prawo Hooke’a" data-language-autonym="Polski" data-language-local-name="ប៉ូឡូញ" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Lej_%C3%ABd_Hooke" title="Lej ëd Hooke – Piedmontese" lang="pms" hreflang="pms" data-title="Lej ëd Hooke" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Lei_de_Hooke" title="Lei de Hooke – ព័រទុយហ្គាល់" lang="pt" hreflang="pt" data-title="Lei de Hooke" data-language-autonym="Português" data-language-local-name="ព័រទុយហ្គាល់" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Legea_lui_Hooke" title="Legea lui Hooke – រូម៉ានី" lang="ro" hreflang="ro" data-title="Legea lui Hooke" data-language-autonym="Română" data-language-local-name="រូម៉ានី" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%93%D1%83%D0%BA%D0%B0" title="Закон Гука – រុស្ស៊ី" lang="ru" hreflang="ru" data-title="Закон Гука" data-language-autonym="Русский" data-language-local-name="រុស្ស៊ី" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Hookeov_zakon" title="Hookeov zakon – សឺបូក្រូអាត" lang="sh" hreflang="sh" data-title="Hookeov zakon" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="សឺបូក្រូអាត" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B7%84%E0%B7%94%E0%B6%9A%E0%B7%8A%E0%B6%9C%E0%B7%9A_%E0%B6%B1%E0%B7%92%E0%B6%BA%E0%B6%B8%E0%B6%BA" title="හුක්ගේ නියමය – ស្រីលង្កា" lang="si" hreflang="si" data-title="හුක්ගේ නියමය" data-language-autonym="සිංහල" data-language-local-name="ស្រីលង្កា" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Hooke%27s_law" title="Hooke's law – Simple English" lang="en-simple" hreflang="en-simple" data-title="Hooke's law" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Hookov_z%C3%A1kon" title="Hookov zákon – ស្លូវ៉ាគី" lang="sk" hreflang="sk" data-title="Hookov zákon" data-language-autonym="Slovenčina" data-language-local-name="ស្លូវ៉ាគី" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Hookov_zakon" title="Hookov zakon – ស្លូវ៉ានី" lang="sl" hreflang="sl" data-title="Hookov zakon" data-language-autonym="Slovenščina" data-language-local-name="ស្លូវ៉ានី" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A5%D1%83%D0%BA%D0%BE%D0%B2_%D0%B7%D0%B0%D0%BA%D0%BE%D0%BD" title="Хуков закон – ស៊ែប" lang="sr" hreflang="sr" data-title="Хуков закон" data-language-autonym="Српски / srpski" data-language-local-name="ស៊ែប" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Hookes_lag" title="Hookes lag – ស៊ុយអែត" lang="sv" hreflang="sv" data-title="Hookes lag" data-language-autonym="Svenska" data-language-local-name="ស៊ុយអែត" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%8A%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%BF%E0%AE%A9%E0%AF%8D_%E0%AE%B5%E0%AE%BF%E0%AE%A4%E0%AE%BF" title="ஊக்கின் விதி – តាមីល" lang="ta" hreflang="ta" data-title="ஊக்கின் விதி" data-language-autonym="தமிழ்" data-language-local-name="តាមីល" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%8E%E0%B8%82%E0%B8%AD%E0%B8%87%E0%B8%AE%E0%B8%B8%E0%B8%81" title="กฎของฮุก – ថៃ" lang="th" hreflang="th" data-title="กฎของฮุก" data-language-autonym="ไทย" data-language-local-name="ថៃ" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Hooke_yasas%C4%B1" title="Hooke yasası – ទួរគី" lang="tr" hreflang="tr" data-title="Hooke yasası" data-language-autonym="Türkçe" data-language-local-name="ទួរគី" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%97%D0%B0%D0%BA%D0%BE%D0%BD_%D0%93%D1%83%D0%BA%D0%B0" title="Закон Гука – អ៊ុយក្រែន" lang="uk" hreflang="uk" data-title="Закон Гука" data-language-autonym="Українська" data-language-local-name="អ៊ុយក្រែន" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Hooke_qonuni" title="Hooke qonuni – អ៊ូសបេគ" lang="uz" hreflang="uz" data-title="Hooke qonuni" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="អ៊ូសបេគ" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%E1%BB%8Bnh_lu%E1%BA%ADt_Hooke" title="Định luật Hooke – វៀតណាម" lang="vi" hreflang="vi" data-title="Định luật Hooke" data-language-autonym="Tiếng Việt" data-language-local-name="វៀតណាម" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%83%A1%E5%85%8B%E5%AE%9A%E5%BE%8B" title="胡克定律 – អ៊ូចិន" lang="wuu" hreflang="wuu" data-title="胡克定律" data-language-autonym="吴语" data-language-local-name="អ៊ូចិន" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%83%A1%E5%85%8B%E5%AE%9A%E5%BE%8B" title="胡克定律 – ចិន" lang="zh" hreflang="zh" data-title="胡克定律" data-language-autonym="中文" data-language-local-name="ចិន" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%83%A1%E5%85%8B%E5%AE%9A%E5%BE%8B" title="胡克定律 – កន្តាំង" lang="yue" hreflang="yue" data-title="胡克定律" data-language-autonym="粵語" data-language-local-name="កន្តាំង" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q170282#sitelinks-wikipedia" title="កែប្រែតំណភ្ជាប់អន្តរភាសា" class="wbc-editpage">កែប្រែតំណភ្ជាប់</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="លំហឈ្មោះ"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80" title="មើលទំព័រមាតិកា [c]" accesskey="c"><span>ទំព័រ</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%96%E1%9E%B7%E1%9E%97%E1%9E%B6%E1%9E%80%E1%9F%92%E1%9E%9F%E1%9E%B6:%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&redlink=1" rel="discussion" class="new" title="ការពិភាក្សាអំពីទំព័រខ្លឹមសារនេះ (ទំព័រនេះមិនទាន់មាននៅឡើយទេ) [t]" accesskey="t"><span>ការពិភាក្សា</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Change language variant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">ភាសាខ្មែរ</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="គំហើញ"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80"><span>អាន</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit" title="កែប្រែកូដរបស់ទំព័រនេះ [e]" accesskey="e"><span>កែប្រែ</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=history" title="កំណែកន្លងមករបស់ទំព័រនេះ ។ [h]" accesskey="h"><span>មើលប្រវត្តិ</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="ឧបករណ៍" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">ឧបករណ៍</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">ឧបករណ៍</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">ប្ដូរទីតាំងទៅរបារចំហៀង</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">លាក់</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="ជម្រើសផ្សេងទៀត" > <div class="vector-menu-heading"> សកម្មភាព </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80"><span>អាន</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit" title="កែប្រែកូដរបស់ទំព័រនេះ [e]" accesskey="e"><span>កែប្រែ</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=history"><span>មើលប្រវត្តិ</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> ទូទៅ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%A2%E1%9F%92%E1%9E%9C%E1%9E%B8%E1%9E%8A%E1%9F%82%E1%9E%9B%E1%9E%97%E1%9F%92%E1%9E%87%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%98%E1%9E%80%E1%9E%91%E1%9E%B8%E1%9E%93%E1%9F%81%E1%9F%87/%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80" title="បញ្ជីទំព័វិគីទាំងអស់ដែលភ្ជាប់មកទីនេះ [j]" accesskey="j"><span>អ្វីដែលភ្ជាប់មកទីនេះ</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9F%86%E1%9E%9B%E1%9E%B6%E1%9E%9F%E1%9F%8B%E1%9E%94%E1%9F%92%E1%9E%8A%E1%9E%BC%E1%9E%9A%E1%9E%91%E1%9E%B6%E1%9E%80%E1%9F%8B%E1%9E%91%E1%9E%B7%E1%9E%93/%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80" rel="nofollow" title="បន្លាស់ប្ដូរថ្មីៗក្នុងទំព័រដែលត្រូវបានភ្ជាប់មកទំព័រនេះ [k]" accesskey="k"><span>បន្លាស់ប្ដូរដែលពាក់ព័ន្ធ</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=km" title="ផ្ទុកឯកសារឡើង [u]" accesskey="u"><span>ផ្ទុកឯកសារឡើង</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%91%E1%9F%86%E1%9E%96%E1%9F%90%E1%9E%9A%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F%E1%9F%97" title="បញ្ជីនៃទំព័រពិសេសទាំងអស់ [q]" accesskey="q"><span>ទំព័រពិសេសៗ</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&oldid=130276" title="តំណភ្ជាប់អចិន្ត្រៃយ៍ដែលភ្ជាប់មកកំណែនេះរបស់ទំព័រនេះ"><span>តំណភ្ជាប់អចិន្ត្រៃយ៍</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=info" title="ព័ត៌មានបន្ថែមអំពីទំព័រនេះ"><span>ព័ត៌មានអំពីទំព័រនេះ</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:CiteThisPage&page=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&id=130276&wpFormIdentifier=titleform" title="ព័ត៌មានអំពីរបៀបយោងទំព័រនេះ"><span>យោងទំព័រនេះ</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:UrlShortener&url=https%3A%2F%2Fkm.wikipedia.org%2Fwiki%2F%25E1%259E%2585%25E1%259F%2592%25E1%259E%2594%25E1%259E%25B6%25E1%259E%2594%25E1%259F%258B%25E1%259E%25A0%25E1%259F%258A%25E1%259E%25BC%25E1%259E%2580"><span>Get shortened URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:QrCode&url=https%3A%2F%2Fkm.wikipedia.org%2Fwiki%2F%25E1%259E%2585%25E1%259F%2592%25E1%259E%2594%25E1%259E%25B6%25E1%259E%2594%25E1%259F%258B%25E1%259E%25A0%25E1%259F%258A%25E1%259E%25BC%25E1%259E%2580"><span>Download QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> បោះពុម្ព/នាំចេញ </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%85%E1%9E%84%E1%9E%80%E1%9F%92%E1%9E%9A%E1%9E%84&bookcmd=book_creator&referer=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80"><span>បង្កើតសៀវភៅ</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:DownloadAsPdf&page=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=show-download-screen"><span>ទាញយកជា PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&printable=yes" title="ទម្រង់សម្រាប់បោះពុម្ភរបស់ទំព័រនេះ [p]" accesskey="p"><span>ទម្រង់សម្រាប់បោះពុម្ភ</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> ក្នុងគម្រោងផ្សេងៗទៀត </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Hooke%27s_law" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q170282" title="Link to connected data repository item [g]" accesskey="g"><span>Wikidata item</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Appearance</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">ប្ដូរទីតាំងទៅរបារចំហៀង</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">លាក់</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">ពីវិគីភីឌា</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="km" dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E1%9E%AF%E1%9E%80%E1%9E%9F%E1%9E%B6%E1%9E%9A:Ressort.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/km/thumb/2/2d/Ressort.png/300px-Ressort.png" decoding="async" width="300" height="304" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/km/2/2d/Ressort.png 1.5x" data-file-width="400" data-file-height="405" /></a><figcaption> រ៉ឺសរមួយក្រោយទាញចុះក្រោមប្រវែង x ។ កំលាំង F ប្រឹងទាញរ៉ឺសរអោយទៅទីតាំងដើមវិញ</figcaption></figure> <p>ក្នុង<a href="/wiki/%E1%9E%98%E1%9F%81%E1%9E%80%E1%9E%B6%E1%9E%93%E1%9E%B7%E1%9E%85" title="មេកានិច">មេកានិច</a>, និង <a href="/wiki/%E1%9E%9A%E1%9E%BC%E1%9E%94%E1%9E%9C%E1%9E%B7%E1%9E%91%E1%9F%92%E1%9E%99%E1%9E%B6" title="រូបវិទ្យា">រូបវិទ្យា</a>, <b>ច្បាប់ហ៊ូក</b> នៃ <a href="/wiki/%E1%9E%98%E1%9F%81%E1%9E%80%E1%9E%B6%E1%9E%93%E1%9E%B7%E1%9E%85%E2%80%8B%E1%9E%9F%E1%9E%BC%E1%9E%9B%E1%9E%B8%E1%9E%8A" title="មេកានិចសូលីដ">អេឡាស្ទីស៊ីតេ</a> ជាការប្រហែលមួយដែលចែងថា សាច់លូតរបស់រ៉ឺសរមួយសមាមាត្រនឹងបន្ទុកដែលមានអំពើលើវា អោយតែបន្ទុកនោះមិនមានតំលៃលើសពី<a href="/w/index.php?title=%E1%9E%9B%E1%9E%B8%E1%9E%98%E1%9E%B8%E1%9E%8F%E1%9E%A2%E1%9F%81%E1%9E%A1%E1%9E%B6%E1%9E%9F%E1%9F%92%E1%9E%91%E1%9E%B7%E1%9E%85%E1%9E%91%E1%9F%81&action=edit&redlink=1" class="new" title="លីមីតអេឡាស្ទិចទេ (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">លីមីតអេឡាស្ទិចទេ</a>។ សម្ភារៈដែលអាចប្រើច្បាប់ហ៊ូកបាន គេហៅថា សម្ភារៈ<a href="/w/index.php?title=%E1%9E%9B%E1%9E%B8%E1%9E%93%E1%9F%81%E1%9E%A2%E1%9F%8A%E1%9F%82%E1%9E%9A%E1%9E%A2%E1%9F%81%E1%9E%A1%E1%9E%B6%E1%9E%9F%E1%9F%92%E1%9E%91%E1%9E%B7%E1%9E%85&action=edit&redlink=1" class="new" title="លីនេអ៊ែរអេឡាស្ទិច (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">លីនេអ៊ែរអេឡាស្ទិច</a> រឺ សម្ភារៈហ៊ូក។ ឃ្លាសាមញ្ញរបស់ច្បាប់ហ៊ូកបានចែងថា <a href="/w/index.php?title=%E1%9E%8A%E1%9F%81%E1%9E%A0%E1%9F%92%E1%9E%9C%E1%9E%98%E1%9F%89%E1%9E%B6%E1%9E%9F%E1%9F%92%E1%9E%99%E1%9E%BB%E1%9E%84&action=edit&redlink=1" class="new" title="ដេហ្វម៉ាស្យុង (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">ដេហ្វម៉ាស្យុង</a>សមាមាត្រជាមួយ<a href="/w/index.php?title=%E1%9E%80%E1%9E%BB%E1%9E%84%E1%9E%8F%E1%9F%92%E1%9E%9A%E1%9E%B6%E1%9F%86%E1%9E%84&action=edit&redlink=1" class="new" title="កុងត្រាំង (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">កុងត្រាំង</a>។ តាមបែបគណិតវិទ្យា ច្បាប់ហ៊ូកចែងថា </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ F=-kx,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>F</mi> <mo>=</mo> <mo>−<!-- − --></mo> <mi>k</mi> <mi>x</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ F=-kx,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2b349e8c143f9f73077e145d72845bc4776fc24d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.416ex; height:2.509ex;" alt="{\displaystyle \ F=-kx,}"></span></dd></dl> <p>ដែល </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9923068b5684340554217dfc8b2b968523527d9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.91ex; height:1.676ex;" alt="{\displaystyle \ x}"></span> ជា<a href="/w/index.php?title=(%E1%9E%9C%E1%9F%89%E1%9E%B7%E1%9E%85%E1%9E%91%E1%9F%90%E1%9E%9A)%E1%9E%94%E1%9F%86%E1%9E%9B%E1%9E%B6%E1%9E%9F%E1%9F%8B%E1%9E%91%E1%9E%B8&action=edit&redlink=1" class="new" title="(វ៉ិចទ័រ)បំលាស់ទី (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">បំលាស់ទី</a> របស់ចុងរ៉ឺសរចេញពីទីតាំង<a href="/w/index.php?title=%E1%9E%9B%E1%9F%86%E1%9E%93%E1%9E%B9%E1%9E%84%E1%9E%98%E1%9F%81%E1%9E%80%E1%9E%B6%E1%9E%93%E1%9E%B7%E1%9E%85&action=edit&redlink=1" class="new" title="លំនឹងមេកានិច (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">លំនឹង</a>របស់វា (គិតជា "m" ក្នុងប្រព័ន្ធឯកតា <a href="/w/index.php?title=SI&action=edit&redlink=1" class="new" title="SI (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">SI</a>);</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3cda729f4fc92e3228240eb588757ff43659c974" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.321ex; height:2.176ex;" alt="{\displaystyle \ F}"></span> ជាកំលាំងដែលមានអំពើលើរ៉ឺសរ (គិតជា "N" ក្នុងប្រព័ន្ធឯកតា <a href="/w/index.php?title=SI&action=edit&redlink=1" class="new" title="SI (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">SI</a>); និង</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c682e4c73906031c21d3ec3951990a6111eeacb6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.792ex; height:2.176ex;" alt="{\displaystyle \ k}"></span> ជាថេររ៉ឺសរ (គិតជា " N•m<sup>-1</sup>" ក្នុងប្រព័ន្ធឯកតា <a href="/w/index.php?title=SI&action=edit&redlink=1" class="new" title="SI (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">SI</a>).</dd></dl> <p>សញ្ញាដក ក្នុងរូបមន្តខាងលើ មានន័យថា កំលាំងមានទិសដៅផ្ទុយពីបំលាស់ទី៖ បើយើងទាញទៅខាងឆ្វេង រ៉ឺសរទាញមកខាងស្ដាំវិញ។ នៅពេលដែលទំនាក់ទំនងរវាងកំលាំងនិងបំលាស់ទី គោរពតាមច្បាប់ហ៊ូក គេនិយាយថា រ៉ឺសរមានលក្ខណៈលីនេអ៊ែរ។ ច្បាប់ហ៊ូកត្រូវបានដាក់ឈ្មោះតាម <a href="/w/index.php?title=%E1%9E%9A%E1%9F%89%E1%9E%BC%E1%9E%94%E1%9F%8A%E1%9F%82%E1%9E%9A_%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&redlink=1" class="new" title="រ៉ូប៊ែរ ហ៊ូក (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">រ៉ូប៊ែរ ហ៊ូក</a> ដែលជារូបវិទូអង់គ្លេសក្នុងសតវត្សរ៍ទី១៧។ </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="អេឡាស្ទិច"><span id=".E1.9E.A2.E1.9F.81.E1.9E.A1.E1.9E.B6.E1.9E.9F.E1.9F.92.E1.9E.91.E1.9E.B7.E1.9E.85"></span>អេឡាស្ទិច</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&section=1" title="កែប្រែផ្នែក៖ អេឡាស្ទិច"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E1%9E%AF%E1%9E%80%E1%9E%9F%E1%9E%B6%E1%9E%9A:BarElasticLinear.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/km/thumb/d/d2/BarElasticLinear.png/300px-BarElasticLinear.png" decoding="async" width="300" height="133" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/km/thumb/d/d2/BarElasticLinear.png/450px-BarElasticLinear.png 1.5x, //upload.wikimedia.org/wikipedia/km/d/d2/BarElasticLinear.png 2x" data-file-width="592" data-file-height="262" /></a><figcaption> របារមានមុខកាត់ A រងកំលាំង F</figcaption></figure> <p>វត្ថុមួយមានលក្ខណៈអេឡាស្ទិចបើវាត្រលប់ទៅជាមានរូបរាងដូចដើមវិញភ្លាមៗក្រោយពីខូចទ្រង់ទ្រាយដោយសារកំលាំងមក ដោយម៉ូលេគុលរឺអាតូមរបស់សម្ភារៈត្រលប់ទៅសភាពដើមដែលជាសភាពមានលំនឹងស្តាប។ បើបន្ទាប់ពីដកកំលាំងចេញ វត្ថុនៅសល់ដេហ្វម៉ាស្យុងខ្លះ នោះយើងនិយាយថា វត្ថុនោះមានលក្ខណៈប្លាស្ទិច។ </p><p>យើងពិនិត្យរបារមួយ ដែលសម្ភារៈរបស់វាអាចចាត់ទុកថាមានលក្ខណៈ<a href="/w/index.php?title=%E1%9E%91%E1%9F%92%E1%9E%9A%E1%9E%B9%E1%9E%9F%E1%9F%92%E1%9E%8A%E1%9E%B8%E1%9E%A2%E1%9F%81%E1%9E%A1%E1%9E%B6%E1%9E%9F%E1%9F%92%E1%9E%91%E1%9E%B8%E1%9E%9F%E1%9F%8A%E1%9E%B8%E1%9E%8F%E1%9F%81&action=edit&redlink=1" class="new" title="ទ្រឹស្ដីអេឡាស្ទីស៊ីតេ (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">អេឡាស្ទិច</a> ដូច្នេះរបារនេះប្រៀបបានជារ៉ឺសរលីនេអ៊ែរមួយដែរ។ របារមានប្រវែង <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/961a82b146ef42781608f00e4d5ebabaf4b42cc6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.163ex; height:2.176ex;" alt="{\displaystyle \ L}"></span> មានមុខកាត់ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a29b7d7604962065930f413ee72574d1f7a6e81" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.324ex; height:2.176ex;" alt="{\displaystyle \ A}"></span> ។ យើងចាប់ទាញរបារនេះដោយកំលាំង <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3cda729f4fc92e3228240eb588757ff43659c974" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.321ex; height:2.176ex;" alt="{\displaystyle \ F}"></span> ។ តាមច្បាប់ហ៊ូក បំលាស់ទី <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ u}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>u</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ u}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/80af8f51c503a32959adf851b071da60d09abe39" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.91ex; height:1.676ex;" alt="{\displaystyle \ u}"></span> សមាមាត្រនឹងកំលាំង <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ F}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>F</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ F}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3cda729f4fc92e3228240eb588757ff43659c974" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.321ex; height:2.176ex;" alt="{\displaystyle \ F}"></span> ដូច្នេះ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \ F=ku}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext> </mtext> <mi>F</mi> <mo>=</mo> <mi>k</mi> <mi>u</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ F=ku}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d5ccf9b37d513a278f40cf41c0b0ad92dc8f879e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.961ex; height:2.176ex;" alt="{\displaystyle \ F=ku}"></span></dd></dl> <p>យើងមាន </p> <dl><dd>កុងត្រាំង <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma ={\frac {F}{A}}\implies F=\sigma A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>σ<!-- σ --></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>F</mi> <mi>A</mi> </mfrac> </mrow> <mspace width="thickmathspace" /> <mo stretchy="false">⟹<!-- ⟹ --></mo> <mspace width="thickmathspace" /> <mi>F</mi> <mo>=</mo> <mi>σ<!-- σ --></mi> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma ={\frac {F}{A}}\implies F=\sigma A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5df896939293bda5c1bc9743a72afc16b8c2879c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:21.306ex; height:5.343ex;" alt="{\displaystyle \sigma ={\frac {F}{A}}\implies F=\sigma A}"></span></dd> <dd>ដេហ្វម៉ាស្យុង <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \epsilon ={\frac {u}{L}}\implies u=\epsilon L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ϵ<!-- ϵ --></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>u</mi> <mi>L</mi> </mfrac> </mrow> <mspace width="thickmathspace" /> <mo stretchy="false">⟹<!-- ⟹ --></mo> <mspace width="thickmathspace" /> <mi>u</mi> <mo>=</mo> <mi>ϵ<!-- ϵ --></mi> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \epsilon ={\frac {u}{L}}\implies u=\epsilon L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b641c3dc179d161e866cf9b04a0658dd15864143" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:19.803ex; height:4.676ex;" alt="{\displaystyle \epsilon ={\frac {u}{L}}\implies u=\epsilon L}"></span></dd></dl> <p>ដូច្នេះ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F=ku\implies \sigma A=k\epsilon L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>F</mi> <mo>=</mo> <mi>k</mi> <mi>u</mi> <mspace width="thickmathspace" /> <mo stretchy="false">⟹<!-- ⟹ --></mo> <mspace width="thickmathspace" /> <mi>σ<!-- σ --></mi> <mi>A</mi> <mo>=</mo> <mi>k</mi> <mi>ϵ<!-- ϵ --></mi> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F=ku\implies \sigma A=k\epsilon L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0aa05972a591a10e798603fb5ea8ccd8894a241e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:23.676ex; height:2.176ex;" alt="{\displaystyle F=ku\implies \sigma A=k\epsilon L}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \implies \sigma ={\frac {kL}{A}}\epsilon =E\epsilon }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thickmathspace" /> <mo stretchy="false">⟹<!-- ⟹ --></mo> <mspace width="thickmathspace" /> <mi>σ<!-- σ --></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>k</mi> <mi>L</mi> </mrow> <mi>A</mi> </mfrac> </mrow> <mi>ϵ<!-- ϵ --></mi> <mo>=</mo> <mi>E</mi> <mi>ϵ<!-- ϵ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \implies \sigma ={\frac {kL}{A}}\epsilon =E\epsilon }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc2da482ec72ed4973a0ec32cfd48e8bcb8db6bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:20.562ex; height:5.509ex;" alt="{\displaystyle \implies \sigma ={\frac {kL}{A}}\epsilon =E\epsilon }"></span></dd></dl> <p>ដែល <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \textstyle E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="0"> <mi>E</mi> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \textstyle E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/baedc8b2d5a4fce1b5a81e1e60764db1c89d30c3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.776ex; height:2.176ex;" alt="{\displaystyle \textstyle E}"></span> មានឈ្មោះថា <a href="/wiki/%E1%9E%98%E1%9F%89%E1%9E%BC%E1%9E%8C%E1%9E%BB%E1%9E%9B%E2%80%8B%E1%9E%99%E1%9F%89%E1%9E%B6%E1%9F%86%E1%9E%84" title="ម៉ូឌុលយ៉ាំង">ម៉ូឌុលយ៉ាំង</a>។ </p><p><br /> ច្បាប់ហ៊ូកផ្ទៀងផ្ទាត់ចំពោះសម្ភារៈខ្លះក្រោមលក្ខខណ្ឌបន្ទុកខ្លះតែប៉ុណ្ណោះ។ <a href="/wiki/%E1%9E%8A%E1%9F%82%E1%9E%80" title="ដែក">ដែក</a> មានលក្ខណៈលីនេអ៊ែរអេឡាស្ទិចនៅក្នុងការអនុវត្តជាក់ស្ដែងក្នុងវិស័យវិស្វកម្មភាគច្រើន ; ច្បាប់ហ៊ូកមានតំលៃត្រឹមត្រូវតែនៅក្នុងដែនអេឡាស្ទិចតែប៉ុណ្ណោះ (ឧទាហរណ៍ចំពោះកុងត្រាំងតូចជាង <a href="/w/index.php?title=%E1%9E%9B%E1%9E%B8%E1%9E%98%E1%9E%B8%E1%9E%8F%E1%9E%A2%E1%9F%81%E1%9E%A1%E1%9E%B6%E1%9E%9F%E1%9F%92%E1%9E%91%E1%9E%B7%E1%9E%85&action=edit&redlink=1" class="new" title="លីមីតអេឡាស្ទិច (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">លីមីតអេឡាស្ទិច</a>)។ សម្ភារៈខ្លះទៀត ដូចជា <a href="/wiki/%E1%9E%A2%E1%9E%B6%E1%9E%9B%E1%9E%BB%E1%9E%99%E1%9E%98%E1%9E%B8%E1%9E%89%E1%9F%89%E1%9E%BC%E1%9E%98" title="អាលុយមីញ៉ូម">អាលុយមីញ៉ូម</a>, ច្បាប់ហ៊ូកផ្ទៀងផ្ទាត់បានតែនៅលើផ្នែកណាមួយនៃដែនអេឡាស្ទិចតែប៉ុណ្ណោះ។ ចំពោះសម្ភារៈបែបនេះ គេកំនត់តំលៃកុងត្រាំងលីមីតមួយដែលនៅពេលកុងត្រាំងឋិតនៅក្រោមតំលៃលីមីតនេះ គេអាចសន្មតថាកុងត្រាំងសមាមាត្រនឹងដេហ្វម៉ាស្យុងបាន ដោយមិនសូវល្អៀងខ្លាំង ដែលលីមីតនោះគេហៅថា <a href="/w/index.php?title=%E1%9E%80%E1%9E%BB%E1%9E%84%E1%9E%8F%E1%9F%92%E1%9E%9A%E1%9E%B6%E1%9F%86%E1%9E%84%E1%9E%9B%E1%9E%B8%E1%9E%98%E1%9E%B8%E1%9E%8F%E1%9E%9F%E1%9E%98%E1%9E%B6%E1%9E%98%E1%9E%B6%E1%9E%8F%E1%9F%92%E1%9E%9A&action=edit&redlink=1" class="new" title="កុងត្រាំងលីមីតសមាមាត្រ (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">កុងត្រាំងលីមីតសមាមាត្រ</a>។ <a href="/wiki/%E1%9E%80%E1%9F%85%E1%9E%9F%E1%9F%8A%E1%9E%BC" title="កៅស៊ូ">កៅស៊ូ</a> ត្រូវបានចាត់ទុកជាទូទៅថាមិនមែនជាប្រភេទសម្ភារៈហ៊ូកព្រោះអេឡាស្ទីស៊ីតេរបស់វាអាស្រ័យនឹងកុងត្រាំងនិងប្រែប្រួលខ្លាំងទៅតាមសីតុណ្ហភាពនិងអត្រាកំនើនបន្ទុក។ ការអនុវត្តច្បាប់ហ៊ូកមាននៅក្នុងម៉ាស៊ីនថ្លឹងប្រើរ៉ឺសរ ការវិភាគកុងត្រាំងនិងការធ្វើម៉ូដែលសម្ភារៈ។ </p> <div class="mw-heading mw-heading2"><h2 id="កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក"><span id=".E1.9E.80.E1.9E.93.E1.9F.92.E1.9E.9F.E1.9F.84.E1.9E.98.E2.80.8B.E1.9E.8F.E1.9E.84.E1.9F.8B.E1.9E.9F.E1.9F.8A.E1.9F.90.E1.9E.9A.E2.80.8B.E1.9E.93.E1.9F.83.E2.80.8B.E1.9E.85.E1.9F.92.E1.9E.94.E1.9E.B6.E1.9E.94.E1.9F.8B.E2.80.8B.E1.9E.A0.E1.9F.8A.E1.9E.BC.E1.9E.80"></span>កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&section=2" title="កែប្រែផ្នែក៖ កន្សោមតង់ស៊័រនៃច្បាប់ហ៊ូក"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>នៅពេលធ្វើការក្នុងសភាពកុងត្រាំង 3D, គេត្រូវតែកំណត់តង់ស៊័រលំដាប់ទី៤ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathsf {c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">c</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/298b304c738ac9c490fad6b9575a1a36696dd88f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.032ex; height:1.676ex;" alt="{\displaystyle {\mathsf {c}}}"></span> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{ijk\ell }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{ijk\ell }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7adb8744499a76fedbc7fd15092074bfd6bce63e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:4.026ex; height:2.343ex;" alt="{\displaystyle c_{ijk\ell }}"></span>) ដែលមានកុំប៉ូសង់ចំនួន៨១ ដែលជាមេគុណអេឡាស្ទិច, ដើម្បីភ្ជាប់ទំនាក់ទំនងរវាងកុងត្រាំង <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {\sigma }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">σ<!-- σ --></mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\sigma }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e45fe1b9d8dcbc3103fc7805d69798bfe5ca5b16" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.594ex; height:1.676ex;" alt="{\displaystyle {\boldsymbol {\sigma }}}"></span> (σ<sub><i>ij</i></sub>) និង ដេហ្វរម៉ាស្យុង <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {\epsilon }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ϵ<!-- ϵ --></mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\epsilon }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/be3ff7747cde11092061b1cf99a03eb19bfeba31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.123ex; height:1.676ex;" alt="{\displaystyle {\boldsymbol {\epsilon }}}"></span> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \epsilon _{k\ell }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \epsilon _{k\ell }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/becac1edac48bb11a1447b706d08b4d991355d84" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.719ex; height:2.009ex;" alt="{\displaystyle \epsilon _{k\ell }}"></span>)។ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {\sigma }}={\mathsf {c}}:{\boldsymbol {\epsilon }}~.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">σ<!-- σ --></mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">c</mi> </mrow> </mrow> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ϵ<!-- ϵ --></mi> </mrow> <mtext> </mtext> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\sigma }}={\mathsf {c}}:{\boldsymbol {\epsilon }}~.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2c0550fff16a81b97959c67f298b0a3a8bc4b42e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.013ex; height:1.676ex;" alt="{\displaystyle {\boldsymbol {\sigma }}={\mathsf {c}}:{\boldsymbol {\epsilon }}~.}"></span></dd></dl> <p>ដោយសរសេរ ជាអនុគមន៍នៃកុំប៉ូសង់ក្នុងតម្រុយកែង, ទម្រង់ទូទៅនៃច្បាប់ហ៊ូក អាចសរសេរជា (ដោយប្រើទម្រង់បូកសន្មតរបស់អាញស្តាញ) </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{ij}=c_{ijk\ell }~\epsilon _{k\ell }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mtext> </mtext> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{ij}=c_{ijk\ell }~\epsilon _{k\ell }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffe7effe99bfc32f3833f5274bb9147002e44152" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:13.228ex; height:2.343ex;" alt="{\displaystyle \sigma _{ij}=c_{ijk\ell }~\epsilon _{k\ell }}"></span></dd></dl> <p>តង់ស៊័រ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathsf {c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">c</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/298b304c738ac9c490fad6b9575a1a36696dd88f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.032ex; height:1.676ex;" alt="{\displaystyle {\mathsf {c}}}"></span> មានឈ្មោះថា <b>តង់ស៊័រ stiffness</b> ឬ <b>តង់ស៊័រអេឡាស្ទីស៊ីតេ</b>។ ដោយសារភាពស៊ីមេទ្រី នៃតង់ស៊័រកុងត្រាំង, តង់ស៊័រដេហ្វរម៉ាស្យុង និង តង់ស៊័រ <a href="/w/index.php?title=Stiffness&action=edit&redlink=1" class="new" title="Stiffness (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">stiffness</a>, នោះ គេមានមេគុណអេឡាស្ទិចឯករាជ្យចំនួនតែ ២១ តែប៉ុណ្ណោះ។ ខ្នាតរបស់កុងត្រាំងដូចខ្នាតរបស់សម្ពាធ, ដេហ្វរម៉ាស្យុងគ្មានខ្នាត ដូច្នេះ មេគុណ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{ijk\ell }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{ijk\ell }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7adb8744499a76fedbc7fd15092074bfd6bce63e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:4.026ex; height:2.343ex;" alt="{\displaystyle c_{ijk\ell }}"></span> មានខ្នាតដូចសម្ពាធដែរ។ </p><p>កន្សោមទូទៅនៃច្បាប់ហ៊ូក អាចបញ្ច្រាសទាញរកដេហ្វរម៉ាស្យុងជាអនុគមន៍នៃកុងត្រាំងបាន និង កំណត់ដោយ ៖ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\boldsymbol {\epsilon }}={\mathsf {s}}:{\boldsymbol {\sigma }}\qquad {\rm {or}}\qquad \epsilon _{ij}=s_{ijk\ell }~\sigma _{k\ell }~.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ϵ<!-- ϵ --></mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">s</mi> </mrow> </mrow> <mo>:</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">σ<!-- σ --></mi> </mrow> <mspace width="2em" /> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">r</mi> </mrow> </mrow> <mspace width="2em" /> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mtext> </mtext> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mtext> </mtext> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\boldsymbol {\epsilon }}={\mathsf {s}}:{\boldsymbol {\sigma }}\qquad {\rm {or}}\qquad \epsilon _{ij}=s_{ijk\ell }~\sigma _{k\ell }~.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4236d10a9dac901b7632dbe6c0d43d62507466e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:34.548ex; height:2.343ex;" alt="{\displaystyle {\boldsymbol {\epsilon }}={\mathsf {s}}:{\boldsymbol {\sigma }}\qquad {\rm {or}}\qquad \epsilon _{ij}=s_{ijk\ell }~\sigma _{k\ell }~.}"></span></dd></dl> <p>តង់ស៊័រ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathsf {s}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">s</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {s}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bfade760ed4a592a20a7398baaa61185cee25a6a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.891ex; height:1.676ex;" alt="{\displaystyle {\mathsf {s}}}"></span> ហៅថា <b>compliance tensor</b>។ </p> <div class="mw-heading mw-heading3"><h3 id="សម្ភារៈអ៊ីសូត្រូប"><span id=".E1.9E.9F.E1.9E.98.E1.9F.92.E1.9E.97.E1.9E.B6.E1.9E.9A.E1.9F.88.E2.80.8B.E1.9E.A2.E1.9F.8A.E1.9E.B8.E1.9E.9F.E1.9E.BC.E1.9E.8F.E1.9F.92.E1.9E.9A.E1.9E.BC.E1.9E.94"></span>សម្ភារៈអ៊ីសូត្រូប</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&section=3" title="កែប្រែផ្នែក៖ សម្ភារៈអ៊ីសូត្រូប"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>សម្ភារៈអ៊ីសូត្រូបមានលក្ខណៈពិសេសត្រង់មិនអាស្រ័យនឹងទិសក្នុងលំហ។ ដូច្នេះ សមីការរូបសម្រាប់សម្ភារៈអ៊ីសូត្រូប ក៏ត្រូវតែមិនអាស្រ័យនឹងប្រព័ន្ធអ័ក្ស ដែរ។ តង់ស៊័រដេហ្វរម៉ាស្យុងមានភាពស៊ីមេទ្រី។ ដោយ Trace របស់គ្រប់តង់ស៊័រទាំងអស់មិនអាស្រ័យនឹងប្រព័ន្ធតម្រុយ ដូច្នេះការសរសេរតង់ស៊័រស៊ីមេទ្រីមួយដែលមិនអាស្រ័យនឹងប្រព័ន្ធអ័ក្ស គេគួរតែសរសេរជាអនុគមន៍នៃផលបូកនៃតង់ស៊័រថេរ និង តង់ស៊័រមាន Trace ស្មើសូន្យ។<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>១<span class="cite-bracket">]</span></a></sup> ដូច្នេះ៖ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \varepsilon _{ij}=\left({\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)+\left(\varepsilon _{ij}-{\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>k</mi> </mrow> </msub> <msub> <mi>δ<!-- δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mo>+</mo> <mrow> <mo>(</mo> <mrow> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>−<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>k</mi> </mrow> </msub> <msub> <mi>δ<!-- δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \varepsilon _{ij}=\left({\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)+\left(\varepsilon _{ij}-{\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fea2ce3c2eca8e47b46f9c6b462720872e95bb71" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:33.844ex; height:4.843ex;" alt="{\displaystyle \varepsilon _{ij}=\left({\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)+\left(\varepsilon _{ij}-{\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)}"></span></dd></dl> <p>ដែល <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \delta _{ij}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>δ<!-- δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \delta _{ij}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fa75d04c11480d976e1396951e02cbb3c4f71568" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.51ex; height:3.009ex;" alt="{\displaystyle \delta _{ij}}"></span> ជា <a href="/w/index.php?title=%E1%9E%9F%E1%9E%89%E1%9F%92%E1%9E%89%E1%9E%B6%E2%80%8B_Kronecker&action=edit&redlink=1" class="new" title="សញ្ញា Kronecker (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">សញ្ញា Kronecker</a>។ </p><p>តួទីមួយនៃអង្គខាងស្ដាំ ជាតង់ស៊័រថេរ ដែលគេហៅថា <b>តង់ស៊័រដេហ្វរម៉ាស្យុងមាឌ</b> និង តួទីពីរ ជាតង់ស៊័រស៊ីមេទ្រី មាន Trace ស្មើសូន្យ ដែលគេហៅថា <b>តង់ស៊័រដេហ្វរម៉ាស្យុងលំងាក</b> ឬ <b>តង់ស៊័រកាត់</b>។ </p><p>ទម្រង់ទូទៅនៃច្បាប់ហ៊ូក សម្រាប់សម្ភារៈអ៊ីសូត្រូប ជាបន្សំលីនេអ៊ែរនៃតង់ស៊័រទាំងពីរ ៖ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{ij}=3K\left({\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)+2G\left(\varepsilon _{ij}-{\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mn>3</mn> <mi>K</mi> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>k</mi> </mrow> </msub> <msub> <mi>δ<!-- δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> <mo>+</mo> <mn>2</mn> <mi>G</mi> <mrow> <mo>(</mo> <mrow> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>−<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>k</mi> </mrow> </msub> <msub> <mi>δ<!-- δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{ij}=3K\left({\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)+2G\left(\varepsilon _{ij}-{\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/16c2493ccfcd9fc6ad3877a8ed7b2c11d7d57e99" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:41.08ex; height:4.843ex;" alt="{\displaystyle \sigma _{ij}=3K\left({\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)+2G\left(\varepsilon _{ij}-{\tfrac {1}{3}}\varepsilon _{kk}\delta _{ij}\right)}"></span></dd></dl> <p>ដែល <i>K</i> ជា <a href="/w/index.php?title=%E1%9E%98%E1%9F%89%E1%9E%BC%E1%9E%8C%E1%9E%BB%E1%9E%9B%E2%80%8B_bulk&action=edit&redlink=1" class="new" title="ម៉ូឌុល bulk (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">ម៉ូឌុល bulk</a> និង <i>G</i> ជា <a href="/w/index.php?title=%E1%9E%98%E1%9F%89%E1%9E%BC%E1%9E%8C%E1%9E%BB%E1%9E%9B%E2%80%8B%E1%9E%80%E1%9E%B6%E1%9E%8F%E1%9F%8B&action=edit&redlink=1" class="new" title="ម៉ូឌុលកាត់ (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">ម៉ូឌុលកាត់</a> ។ ទម្រង់នេះអាចសម្រួលមកជា ៖ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{ij}={\frac {E}{1+\nu }}\left(\varepsilon _{ij}+{\frac {\nu }{1-2\nu }}\varepsilon _{kk}\delta _{ij}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>E</mi> <mrow> <mn>1</mn> <mo>+</mo> <mi>ν<!-- ν --></mi> </mrow> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>ν<!-- ν --></mi> <mrow> <mn>1</mn> <mo>−<!-- − --></mo> <mn>2</mn> <mi>ν<!-- ν --></mi> </mrow> </mfrac> </mrow> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>k</mi> </mrow> </msub> <msub> <mi>δ<!-- δ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{ij}={\frac {E}{1+\nu }}\left(\varepsilon _{ij}+{\frac {\nu }{1-2\nu }}\varepsilon _{kk}\delta _{ij}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79ce5c857fa8df4fd3f3434d5a34c96e06f851bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:33.955ex; height:6.176ex;" alt="{\displaystyle \sigma _{ij}={\frac {E}{1+\nu }}\left(\varepsilon _{ij}+{\frac {\nu }{1-2\nu }}\varepsilon _{kk}\delta _{ij}\right)}"></span></dd></dl> <p>ដែល៖ </p> <dl><dd>- <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{ij}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{ij}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/43acbf52cc4d4f83f187ceaa49f045114b71772e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.804ex; height:2.343ex;" alt="{\displaystyle \sigma _{ij}}"></span> = កុងត្រាំង</dd> <dd>- <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f37dd4367bedcbfabd67d904fd86812ae4897354" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.356ex; height:2.176ex;" alt="{\displaystyle E\ }"></span> = <a href="/wiki/%E1%9E%98%E1%9F%89%E1%9E%BC%E1%9E%8C%E1%9E%BB%E1%9E%9B%E2%80%8B%E1%9E%99%E1%9F%89%E1%9E%B6%E1%9F%86%E1%9E%84" title="ម៉ូឌុលយ៉ាំង">ម៉ូឌុលយ៉ាំង (Young)</a></dd> <dd>- <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ν<!-- ν --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \nu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c15bbbb971240cf328aba572178f091684585468" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.232ex; height:1.676ex;" alt="{\displaystyle \nu }"></span> = មេគុណ <a href="/w/index.php?title=Poisson&action=edit&redlink=1" class="new" title="Poisson (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">Poisson</a></dd></dl> <p>ទំរង់បញ្ចេញរបស់ច្បាប់នេះគឺៈ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}\varepsilon _{11}&={\tfrac {1}{E}}\left[\sigma _{11}-\nu (\sigma _{22}+\sigma _{33})\right]\\\varepsilon _{22}&={\tfrac {1}{E}}\left[\sigma _{22}-\nu (\sigma _{11}+\sigma _{33})\right]\\\varepsilon _{33}&={\tfrac {1}{E}}\left[\sigma _{33}-\nu (\sigma _{11}+\sigma _{22})\right]\\\varepsilon _{12}&={\tfrac {1}{2G}}~\sigma _{12}~;~~\varepsilon _{13}={\tfrac {1}{2G}}~\sigma _{13}~;~~\varepsilon _{23}={\tfrac {1}{2G}}~\sigma _{23}\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mi>E</mi> </mfrac> </mstyle> </mrow> <mrow> <mo>[</mo> <mrow> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> <mo stretchy="false">(</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mo>]</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mi>E</mi> </mfrac> </mstyle> </mrow> <mrow> <mo>[</mo> <mrow> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> <mo stretchy="false">(</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mo>]</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mi>E</mi> </mfrac> </mstyle> </mrow> <mrow> <mo>[</mo> <mrow> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> <mo stretchy="false">(</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mo>]</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> <mtd> <mi></mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>G</mi> </mrow> </mfrac> </mstyle> </mrow> <mtext> </mtext> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> <mtext> </mtext> <mo>;</mo> <mtext> </mtext> <mtext> </mtext> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>13</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>G</mi> </mrow> </mfrac> </mstyle> </mrow> <mtext> </mtext> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>13</mn> </mrow> </msub> <mtext> </mtext> <mo>;</mo> <mtext> </mtext> <mtext> </mtext> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>G</mi> </mrow> </mfrac> </mstyle> </mrow> <mtext> </mtext> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}\varepsilon _{11}&={\tfrac {1}{E}}\left[\sigma _{11}-\nu (\sigma _{22}+\sigma _{33})\right]\\\varepsilon _{22}&={\tfrac {1}{E}}\left[\sigma _{22}-\nu (\sigma _{11}+\sigma _{33})\right]\\\varepsilon _{33}&={\tfrac {1}{E}}\left[\sigma _{33}-\nu (\sigma _{11}+\sigma _{22})\right]\\\varepsilon _{12}&={\tfrac {1}{2G}}~\sigma _{12}~;~~\varepsilon _{13}={\tfrac {1}{2G}}~\sigma _{13}~;~~\varepsilon _{23}={\tfrac {1}{2G}}~\sigma _{23}\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c2eddece12ec436dd52304e84e80c7bffcbb035a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.745ex; margin-bottom: -0.26ex; width:44.68ex; height:15.176ex;" alt="{\displaystyle {\begin{aligned}\varepsilon _{11}&={\tfrac {1}{E}}\left[\sigma _{11}-\nu (\sigma _{22}+\sigma _{33})\right]\\\varepsilon _{22}&={\tfrac {1}{E}}\left[\sigma _{22}-\nu (\sigma _{11}+\sigma _{33})\right]\\\varepsilon _{33}&={\tfrac {1}{E}}\left[\sigma _{33}-\nu (\sigma _{11}+\sigma _{22})\right]\\\varepsilon _{12}&={\tfrac {1}{2G}}~\sigma _{12}~;~~\varepsilon _{13}={\tfrac {1}{2G}}~\sigma _{13}~;~~\varepsilon _{23}={\tfrac {1}{2G}}~\sigma _{23}\end{aligned}}}"></span></dd></dl> <p>ក្រោមទម្រង់ម៉ាទ្រីស ច្បាប់ហ៊ូកសម្រាប់សម្ភារៈអ៊ីសូត្រូបអាចសរសេរជា ៖ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}={\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\\gamma _{23}\\\gamma _{31}\\\gamma _{12}\end{bmatrix}}={\cfrac {1}{E}}{\begin{bmatrix}1&-\nu &-\nu &0&0&0\\-\nu &1&-\nu &0&0&0\\-\nu &-\nu &1&0&0&0\\0&0&0&2(1+\nu )&0&0\\0&0&0&0&2(1+\nu )&0\\0&0&0&0&0&2(1+\nu )\end{bmatrix}}{\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>γ<!-- γ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>γ<!-- γ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>γ<!-- γ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi>E</mi> </mrow> </mstyle> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>2</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>2</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>2</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}={\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\\gamma _{23}\\\gamma _{31}\\\gamma _{12}\end{bmatrix}}={\cfrac {1}{E}}{\begin{bmatrix}1&-\nu &-\nu &0&0&0\\-\nu &1&-\nu &0&0&0\\-\nu &-\nu &1&0&0&0\\0&0&0&2(1+\nu )&0&0\\0&0&0&0&2(1+\nu )&0\\0&0&0&0&0&2(1+\nu )\end{bmatrix}}{\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7bce8b75f9a725077c7fa464ffa1af54feb84928" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -9.171ex; width:79.977ex; height:19.509ex;" alt="{\displaystyle {\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}={\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\\gamma _{23}\\\gamma _{31}\\\gamma _{12}\end{bmatrix}}={\cfrac {1}{E}}{\begin{bmatrix}1&-\nu &-\nu &0&0&0\\-\nu &1&-\nu &0&0&0\\-\nu &-\nu &1&0&0&0\\0&0&0&2(1+\nu )&0&0\\0&0&0&0&2(1+\nu )&0\\0&0&0&0&0&2(1+\nu )\end{bmatrix}}{\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}}"></span></dd></dl> <p>ដែល <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \gamma _{ij}:=2\varepsilon _{ij}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>γ<!-- γ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>:=</mo> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma _{ij}:=2\varepsilon _{ij}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07945b60b1bad7c3051c18613092d5987762e930" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:10.15ex; height:2.843ex;" alt="{\displaystyle \gamma _{ij}:=2\varepsilon _{ij}}"></span> ជា <b>ដេហ្វរម៉ាស្យុងកាត់វិស្វកម្ម</b>។ ទម្រង់ច្រាសអាចសរសេរជា </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}={\cfrac {E}{(1+\nu )(1-2\nu )}}{\begin{bmatrix}1-\nu &\nu &\nu &0&0&0\\\nu &1-\nu &\nu &0&0&0\\\nu &\nu &1-\nu &0&0&0\\0&0&0&(1-2\nu )/2&0&0\\0&0&0&0&(1-2\nu )/2&0\\0&0&0&0&0&(1-2\nu )/2\end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi>E</mi> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−<!-- − --></mo> <mn>2</mn> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> </mrow> </mstyle> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>1</mn> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>1</mn> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>1</mn> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−<!-- − --></mo> <mn>2</mn> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−<!-- − --></mo> <mn>2</mn> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mo stretchy="false">(</mo> <mn>1</mn> <mo>−<!-- − --></mo> <mn>2</mn> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}={\cfrac {E}{(1+\nu )(1-2\nu )}}{\begin{bmatrix}1-\nu &\nu &\nu &0&0&0\\\nu &1-\nu &\nu &0&0&0\\\nu &\nu &1-\nu &0&0&0\\0&0&0&(1-2\nu )/2&0&0\\0&0&0&0&(1-2\nu )/2&0\\0&0&0&0&0&(1-2\nu )/2\end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ced6faab7f4b0dc2f71d51869432ed471e8ea80f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -9.171ex; width:96.981ex; height:19.509ex;" alt="{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}={\cfrac {E}{(1+\nu )(1-2\nu )}}{\begin{bmatrix}1-\nu &\nu &\nu &0&0&0\\\nu &1-\nu &\nu &0&0&0\\\nu &\nu &1-\nu &0&0&0\\0&0&0&(1-2\nu )/2&0&0\\0&0&0&0&(1-2\nu )/2&0\\0&0&0&0&0&(1-2\nu )/2\end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}}"></span></dd></dl> <p>ដោយប្រើថេរ ឡាមេ (Lamé) <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda =K-2/3G}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ<!-- λ --></mi> <mo>=</mo> <mi>K</mi> <mo>−<!-- − --></mo> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>3</mn> <mi>G</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda =K-2/3G}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/31e389de43046241b2c9ce0219fd357a3c0fa522" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.674ex; height:2.843ex;" alt="{\displaystyle \lambda =K-2/3G}"></span> និង <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu =G}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>μ<!-- μ --></mi> <mo>=</mo> <mi>G</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu =G}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f7c9aa854bc825c7158bfb3192833167176487fe" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.327ex; height:2.676ex;" alt="{\displaystyle \mu =G}"></span> , ទម្រង់នេះអាចសម្រួលទៅជា </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}={\begin{bmatrix}2\mu +\lambda &\lambda &\lambda &0&0&0\\\lambda &2\mu +\lambda &\lambda &0&0&0\\\lambda &\lambda &2\mu +\lambda &0&0&0\\0&0&0&\mu &0&0\\0&0&0&0&\mu &0\\0&0&0&0&0&\mu \end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>2</mn> <mi>μ<!-- μ --></mi> <mo>+</mo> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mn>2</mn> <mi>μ<!-- μ --></mi> <mo>+</mo> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mn>2</mn> <mi>μ<!-- μ --></mi> <mo>+</mo> <mi>λ<!-- λ --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mi>μ<!-- μ --></mi> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mi>μ<!-- μ --></mi> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mi>μ<!-- μ --></mi> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}={\begin{bmatrix}2\mu +\lambda &\lambda &\lambda &0&0&0\\\lambda &2\mu +\lambda &\lambda &0&0&0\\\lambda &\lambda &2\mu +\lambda &0&0&0\\0&0&0&\mu &0&0\\0&0&0&0&\mu &0\\0&0&0&0&0&\mu \end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b57795451d5730a433274a703e15eacf898c87d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -9.005ex; width:58.078ex; height:19.176ex;" alt="{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}={\begin{bmatrix}2\mu +\lambda &\lambda &\lambda &0&0&0\\\lambda &2\mu +\lambda &\lambda &0&0&0\\\lambda &\lambda &2\mu +\lambda &0&0&0\\0&0&0&\mu &0&0\\0&0&0&0&\mu &0\\0&0&0&0&0&\mu \end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\\varepsilon _{33}\\2\varepsilon _{23}\\2\varepsilon _{31}\\2\varepsilon _{12}\end{bmatrix}}}"></span></dd></dl> <div class="mw-heading mw-heading4"><h4 id="ច្បាប់ហ៊ូកសម្រាប់សភាពប្លង់នៃកុងត្រាំង"><span id=".E1.9E.85.E1.9F.92.E1.9E.94.E1.9E.B6.E1.9E.94.E1.9F.8B.E2.80.8B.E1.9E.A0.E1.9F.8A.E1.9E.BC.E1.9E.80.E2.80.8B.E1.9E.9F.E1.9E.98.E1.9F.92.E1.9E.9A.E1.9E.B6.E1.9E.94.E1.9F.8B.E2.80.8B.E1.9E.9F.E1.9E.97.E1.9E.B6.E1.9E.96.E2.80.8B.E1.9E.94.E1.9F.92.E1.9E.9B.E1.9E.84.E1.9F.8B.E2.80.8B.E1.9E.93.E1.9F.83.E2.80.8B.E1.9E.80.E1.9E.BB.E1.9E.84.E1.9E.8F.E1.9F.92.E1.9E.9A.E1.9E.B6.E1.9F.86.E1.9E.84.E2.80.8B"></span>ច្បាប់ហ៊ូកសម្រាប់សភាពប្លង់នៃកុងត្រាំង</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&section=4" title="កែប្រែផ្នែក៖ ច្បាប់ហ៊ូកសម្រាប់សភាពប្លង់នៃកុងត្រាំង"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ក្នុងលក្ខខណ្ឌសភាពប្លង់នៃកុងត្រាំង យើងមាន <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{33}=\sigma _{31}=\sigma _{13}=\sigma _{32}=\sigma _{23}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>13</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>32</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{33}=\sigma _{31}=\sigma _{13}=\sigma _{32}=\sigma _{23}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/51dbf046b3f0b7d93139f4dd70d20102462bb167" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:32.673ex; height:2.509ex;" alt="{\displaystyle \sigma _{33}=\sigma _{31}=\sigma _{13}=\sigma _{32}=\sigma _{23}=0}"></span>។ ក្នុងករណីនេះ ច្បាប់ហ៊ូក មានរាង </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\2\varepsilon _{12}\end{bmatrix}}={\cfrac {1}{E}}{\begin{bmatrix}1&-\nu &0\\-\nu &1&0\\0&0&2(1+\nu )\end{bmatrix}}{\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{12}\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi>E</mi> </mrow> </mstyle> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>2</mn> <mo stretchy="false">(</mo> <mn>1</mn> <mo>+</mo> <mi>ν<!-- ν --></mi> <mo stretchy="false">)</mo> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\2\varepsilon _{12}\end{bmatrix}}={\cfrac {1}{E}}{\begin{bmatrix}1&-\nu &0\\-\nu &1&0\\0&0&2(1+\nu )\end{bmatrix}}{\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{12}\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37b7b25e56fd2c495759c2ec1eb5c9fe8ada5f41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.171ex; width:43.525ex; height:9.509ex;" alt="{\displaystyle {\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\2\varepsilon _{12}\end{bmatrix}}={\cfrac {1}{E}}{\begin{bmatrix}1&-\nu &0\\-\nu &1&0\\0&0&2(1+\nu )\end{bmatrix}}{\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{12}\end{bmatrix}}}"></span></dd></dl> <p>ទម្រង់ច្រាស អាចសរសេរជា </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{12}\end{bmatrix}}={\cfrac {E}{1-\nu ^{2}}}{\begin{bmatrix}1&\nu &0\\\nu &1&0\\0&0&{\cfrac {1-\nu }{2}}\end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\2\varepsilon _{12}\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi>E</mi> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>−<!-- − --></mo> <msup> <mi>ν<!-- ν --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> </mstyle> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mi>ν<!-- ν --></mi> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>−<!-- − --></mo> <mi>ν<!-- ν --></mi> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </mstyle> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ε<!-- ε --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{12}\end{bmatrix}}={\cfrac {E}{1-\nu ^{2}}}{\begin{bmatrix}1&\nu &0\\\nu &1&0\\0&0&{\cfrac {1-\nu }{2}}\end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\2\varepsilon _{12}\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2347165db295b3862ff86ce8ffc865af72ee88c6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.005ex; width:42.312ex; height:13.176ex;" alt="{\displaystyle {\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{12}\end{bmatrix}}={\cfrac {E}{1-\nu ^{2}}}{\begin{bmatrix}1&\nu &0\\\nu &1&0\\0&0&{\cfrac {1-\nu }{2}}\end{bmatrix}}{\begin{bmatrix}\varepsilon _{11}\\\varepsilon _{22}\\2\varepsilon _{12}\end{bmatrix}}}"></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="សម្ភារៈអានីសូត្រូប"><span id=".E1.9E.9F.E1.9E.98.E1.9F.92.E1.9E.97.E1.9E.B6.E1.9E.9A.E1.9F.88.E2.80.8B.E1.9E.A2.E1.9E.B6.E1.9E.93.E1.9E.B8.E1.9E.9F.E1.9E.BC.E1.9E.8F.E1.9F.92.E1.9E.9A.E1.9E.BC.E1.9E.94"></span>សម្ភារៈអានីសូត្រូប</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&section=5" title="កែប្រែផ្នែក៖ សម្ភារៈអានីសូត្រូប"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ដោយសារភាពស៊ីមេទ្រី នៃកុងត្រាំងកូស៊ី (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{ij}=\sigma _{ji}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> <mi>i</mi> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{ij}=\sigma _{ji}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c95bf1801da9d54a76f47b1622c4cd06d5db6ae0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:9.095ex; height:2.343ex;" alt="{\displaystyle \sigma _{ij}=\sigma _{ji}\,}"></span>) និងទម្រង់ទូទៅនៃច្បាប់ហ៊ូក (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{ij}=c_{ijk\ell }~\epsilon _{k\ell }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mtext> </mtext> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{ij}=c_{ijk\ell }~\epsilon _{k\ell }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffe7effe99bfc32f3833f5274bb9147002e44152" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:13.228ex; height:2.343ex;" alt="{\displaystyle \sigma _{ij}=c_{ijk\ell }~\epsilon _{k\ell }}"></span>) យើងទាញបានថា <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{ijk\ell }=c_{jik\ell }\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> <mi>i</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{ijk\ell }=c_{jik\ell }\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/df0779d3087146026a80e1818fb4de5f348f549c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:11.538ex; height:2.343ex;" alt="{\displaystyle c_{ijk\ell }=c_{jik\ell }\,}"></span>។ ដូចគ្នា ភាពស៊ីមេទ្រីនៃ តង់ស៊័រដេហ្វរម៉ាស្យុងអតិសុខុម នាំឱ្យ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{ijk\ell }=c_{ij\ell k}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>ℓ<!-- ℓ --></mi> <mi>k</mi> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{ijk\ell }=c_{ij\ell k}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6c53f61721f87f05ce9adfb8e934a9c44c8c2563" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:11.538ex; height:2.343ex;" alt="{\displaystyle c_{ijk\ell }=c_{ij\ell k}\,}"></span>។ ភាពស៊ីមេទ្រីទាំងនេះ មានឈ្មោះថា <b>ស៊ីមេទ្រីតូច</b> នៃ <b>តង់ស៊័រ stiffness</b> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathsf {c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">c</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/298b304c738ac9c490fad6b9575a1a36696dd88f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.032ex; height:1.676ex;" alt="{\displaystyle {\mathsf {c}}}"></span>) ។ </p><p>ជាងនេះទៅទៀត ដោយសារក្រាដ្យង់បំលាស់ទី និង កុងត្រាំងកូស៊ី ជាកម្មន្តឆ្លាស់ នោះទំនាក់ទំនងកុងត្រាំងដេហ្វរម៉ាស្យុង អាចកំណត់ចេញពីអនុគមន៍ដង់ស៊ីតេដេហ្វរម៉ាស្យុង (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle U}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/458a728f53b9a0274f059cd695e067c430956025" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.783ex; height:2.176ex;" alt="{\displaystyle U}"></span>), ដូច្នេះ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{ij}={\cfrac {\partial U}{\partial \epsilon _{ij}}}\quad \implies \quad c_{ijk\ell }={\cfrac {\partial ^{2}U}{\partial \epsilon _{ij}\partial \epsilon _{k\ell }}}~.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∂<!-- ∂ --></mi> <mi>U</mi> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∂<!-- ∂ --></mi> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow> </mstyle> </mrow> </mfrac> </mrow> <mspace width="1em" /> <mspace width="thickmathspace" /> <mo stretchy="false">⟹<!-- ⟹ --></mo> <mspace width="thickmathspace" /> <mspace width="1em" /> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi mathvariant="normal">∂<!-- ∂ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>U</mi> </mrow> </mstyle> </mrow> <mrow> <mpadded width="0" height="8.6pt" depth="3pt"> <mrow /> </mpadded> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∂<!-- ∂ --></mi> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi mathvariant="normal">∂<!-- ∂ --></mi> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> </mrow> </mstyle> </mrow> </mfrac> </mrow> <mtext> </mtext> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{ij}={\cfrac {\partial U}{\partial \epsilon _{ij}}}\quad \implies \quad c_{ijk\ell }={\cfrac {\partial ^{2}U}{\partial \epsilon _{ij}\partial \epsilon _{k\ell }}}~.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd57eecda09021a6c1a87a77f6b030721dec0c17" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:38.474ex; height:7.176ex;" alt="{\displaystyle \sigma _{ij}={\cfrac {\partial U}{\partial \epsilon _{ij}}}\quad \implies \quad c_{ijk\ell }={\cfrac {\partial ^{2}U}{\partial \epsilon _{ij}\partial \epsilon _{k\ell }}}~.}"></span></dd></dl> <p>ដោយសារលំដាប់លំដោយនៃការដេរីវេគ្មានភាពសំខាន់ នោះ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c_{ijk\ell }=c_{k\ell ij}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> </mrow> </msub> <mo>=</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>ℓ<!-- ℓ --></mi> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{ijk\ell }=c_{k\ell ij}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04ed6a63bd800f403d8732b550f9602e49771053" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:11.538ex; height:2.343ex;" alt="{\displaystyle c_{ijk\ell }=c_{k\ell ij}\,}"></span>។ លក្ខណៈនេះហៅថា <b>ស៊ីមេទ្រីធំ</b> នៃតង់ស៊័រ stiffness tensor ។ ស៊ីមេទ្រីធំ និង ស៊ីមេទ្រីតូច បង្ហាញថា ម៉ាទ្រីស stiffness មានកុំប៉ូសង់ដាច់គ្នា ចំនួនតែ ២១ តែប៉ុណ្ណោះ។ </p> <div class="mw-heading mw-heading4"><h4 id="ទម្រង់ម៉ាទ្រីស_នៃតង់ស៊័រ_Stiffness"><span id=".E1.9E.91.E1.9E.98.E1.9F.92.E1.9E.9A.E1.9E.84.E1.9F.8B.E2.80.8B.E1.9E.98.E1.9F.89.E1.9E.B6.E1.9E.91.E1.9F.92.E1.9E.9A.E1.9E.B8.E1.9E.9F_.E1.9E.93.E1.9F.83.E2.80.8B.E1.9E.8F.E1.9E.84.E1.9F.8B.E1.9E.9F.E1.9F.8A.E1.9F.90.E1.9E.9A_Stiffness"></span>ទម្រង់ម៉ាទ្រីស នៃតង់ស៊័រ Stiffness</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&section=6" title="កែប្រែផ្នែក៖ ទម្រង់ម៉ាទ្រីស នៃតង់ស៊័រ Stiffness"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ជាទូទៅ គេតែងតែសរសេរទម្រង់អានីសូត្រូបនៃច្បាប់ហ៊ូក ក្រោមទម្រង់ម៉ាទ្រីស ដែលគេហៅថា <a href="/w/index.php?title=%E1%9E%91%E1%9E%98%E1%9F%92%E1%9E%9A%E1%9E%84%E1%9F%8B_Voigt&action=edit&redlink=1" class="new" title="ទម្រង់ Voigt (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">ទម្រង់ Voigt</a> ។ ដើម្បីសរសេរជាទម្រង់ម៉ាទ្រីស គេទាញយកប្រយោជន៍ពីភាពស៊ីមេទ្រីរបស់តង់ស៊័រកុងត្រាំង និង ដេហ្វរម៉ាស្យុង ហើយសរសេរពួកវាជាវ៉ិចទ័រមាន ៦ កុំប៉ូសង់ ក្នុងប្រព័ន្ធតម្រុយកែង(<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathbf {e} _{1},\mathbf {e} _{2},\mathbf {e} _{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">e</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">e</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">e</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbf {e} _{1},\mathbf {e} _{2},\mathbf {e} _{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6b830763a1f552a9c87e7a97e3fb34924c92f3ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.906ex; height:2.009ex;" alt="{\displaystyle \mathbf {e} _{1},\mathbf {e} _{2},\mathbf {e} _{3}}"></span>) ជា </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle [{\boldsymbol {\sigma }}]={\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}\equiv {\begin{bmatrix}\sigma _{1}\\\sigma _{2}\\\sigma _{3}\\\sigma _{4}\\\sigma _{5}\\\sigma _{6}\end{bmatrix}}~;~~[{\boldsymbol {\epsilon }}]={\begin{bmatrix}\epsilon _{11}\\\epsilon _{22}\\\epsilon _{33}\\2\epsilon _{23}\\2\epsilon _{31}\\2\epsilon _{12}\end{bmatrix}}\equiv {\begin{bmatrix}\epsilon _{1}\\\epsilon _{2}\\\epsilon _{3}\\\epsilon _{4}\\\epsilon _{5}\\\epsilon _{6}\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">σ<!-- σ --></mi> </mrow> <mo stretchy="false">]</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>≡<!-- ≡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>6</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mtext> </mtext> <mo>;</mo> <mtext> </mtext> <mtext> </mtext> <mo stretchy="false">[</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ϵ<!-- ϵ --></mi> </mrow> <mo stretchy="false">]</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>31</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>≡<!-- ≡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>6</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [{\boldsymbol {\sigma }}]={\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}\equiv {\begin{bmatrix}\sigma _{1}\\\sigma _{2}\\\sigma _{3}\\\sigma _{4}\\\sigma _{5}\\\sigma _{6}\end{bmatrix}}~;~~[{\boldsymbol {\epsilon }}]={\begin{bmatrix}\epsilon _{11}\\\epsilon _{22}\\\epsilon _{33}\\2\epsilon _{23}\\2\epsilon _{31}\\2\epsilon _{12}\end{bmatrix}}\equiv {\begin{bmatrix}\epsilon _{1}\\\epsilon _{2}\\\epsilon _{3}\\\epsilon _{4}\\\epsilon _{5}\\\epsilon _{6}\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78c73970472edc29708b65553460a73ace3b8836" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -9.005ex; width:47.449ex; height:19.176ex;" alt="{\displaystyle [{\boldsymbol {\sigma }}]={\begin{bmatrix}\sigma _{11}\\\sigma _{22}\\\sigma _{33}\\\sigma _{23}\\\sigma _{31}\\\sigma _{12}\end{bmatrix}}\equiv {\begin{bmatrix}\sigma _{1}\\\sigma _{2}\\\sigma _{3}\\\sigma _{4}\\\sigma _{5}\\\sigma _{6}\end{bmatrix}}~;~~[{\boldsymbol {\epsilon }}]={\begin{bmatrix}\epsilon _{11}\\\epsilon _{22}\\\epsilon _{33}\\2\epsilon _{23}\\2\epsilon _{31}\\2\epsilon _{12}\end{bmatrix}}\equiv {\begin{bmatrix}\epsilon _{1}\\\epsilon _{2}\\\epsilon _{3}\\\epsilon _{4}\\\epsilon _{5}\\\epsilon _{6}\end{bmatrix}}}"></span></dd></dl> <p>ដូច្នេះ តង់ស៊័រ stiffness (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathsf {c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">c</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/298b304c738ac9c490fad6b9575a1a36696dd88f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.032ex; height:1.676ex;" alt="{\displaystyle {\mathsf {c}}}"></span>) អាចសរសេរជា </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle [{\mathsf {C}}]={\begin{bmatrix}c_{1111}&c_{1122}&c_{1133}&c_{1123}&c_{1131}&c_{1112}\\c_{2211}&c_{2222}&c_{2233}&c_{2223}&c_{2231}&c_{2212}\\c_{3311}&c_{3322}&c_{3333}&c_{3323}&c_{3331}&c_{3312}\\c_{2311}&c_{2322}&c_{2333}&c_{2323}&c_{2331}&c_{2312}\\c_{3111}&c_{3122}&c_{3133}&c_{3123}&c_{3131}&c_{3112}\\c_{1211}&c_{1222}&c_{1233}&c_{1223}&c_{1231}&c_{1212}\end{bmatrix}}\equiv {\begin{bmatrix}C_{11}&C_{12}&C_{13}&C_{14}&C_{15}&C_{16}\\C_{12}&C_{22}&C_{23}&C_{24}&C_{25}&C_{26}\\C_{13}&C_{23}&C_{33}&C_{34}&C_{35}&C_{36}\\C_{14}&C_{24}&C_{34}&C_{44}&C_{45}&C_{46}\\C_{15}&C_{25}&C_{35}&C_{45}&C_{55}&C_{56}\\C_{16}&C_{26}&C_{36}&C_{46}&C_{56}&C_{66}\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">C</mi> </mrow> </mrow> <mo stretchy="false">]</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1111</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1122</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1133</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1123</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1131</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1112</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2211</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2222</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2233</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2223</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2231</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2212</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3311</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3322</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3333</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3323</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3331</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3312</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2311</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2322</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2333</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2323</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2331</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2312</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3111</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3122</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3133</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3123</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3131</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3112</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1211</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1222</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1233</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1223</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1231</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1212</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>≡<!-- ≡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>13</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>14</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>15</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>16</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>24</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>25</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>26</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>13</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>34</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>35</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>36</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>14</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>24</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>34</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>44</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>45</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>46</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>15</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>25</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>35</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>45</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>55</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>56</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>16</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>26</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>36</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>46</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>56</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>66</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [{\mathsf {C}}]={\begin{bmatrix}c_{1111}&c_{1122}&c_{1133}&c_{1123}&c_{1131}&c_{1112}\\c_{2211}&c_{2222}&c_{2233}&c_{2223}&c_{2231}&c_{2212}\\c_{3311}&c_{3322}&c_{3333}&c_{3323}&c_{3331}&c_{3312}\\c_{2311}&c_{2322}&c_{2333}&c_{2323}&c_{2331}&c_{2312}\\c_{3111}&c_{3122}&c_{3133}&c_{3123}&c_{3131}&c_{3112}\\c_{1211}&c_{1222}&c_{1233}&c_{1223}&c_{1231}&c_{1212}\end{bmatrix}}\equiv {\begin{bmatrix}C_{11}&C_{12}&C_{13}&C_{14}&C_{15}&C_{16}\\C_{12}&C_{22}&C_{23}&C_{24}&C_{25}&C_{26}\\C_{13}&C_{23}&C_{33}&C_{34}&C_{35}&C_{36}\\C_{14}&C_{24}&C_{34}&C_{44}&C_{45}&C_{46}\\C_{15}&C_{25}&C_{35}&C_{45}&C_{55}&C_{56}\\C_{16}&C_{26}&C_{36}&C_{46}&C_{56}&C_{66}\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a43b066624a968805befbe38322ecc88dacedd69" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -9.005ex; width:88.296ex; height:19.176ex;" alt="{\displaystyle [{\mathsf {C}}]={\begin{bmatrix}c_{1111}&c_{1122}&c_{1133}&c_{1123}&c_{1131}&c_{1112}\\c_{2211}&c_{2222}&c_{2233}&c_{2223}&c_{2231}&c_{2212}\\c_{3311}&c_{3322}&c_{3333}&c_{3323}&c_{3331}&c_{3312}\\c_{2311}&c_{2322}&c_{2333}&c_{2323}&c_{2331}&c_{2312}\\c_{3111}&c_{3122}&c_{3133}&c_{3123}&c_{3131}&c_{3112}\\c_{1211}&c_{1222}&c_{1233}&c_{1223}&c_{1231}&c_{1212}\end{bmatrix}}\equiv {\begin{bmatrix}C_{11}&C_{12}&C_{13}&C_{14}&C_{15}&C_{16}\\C_{12}&C_{22}&C_{23}&C_{24}&C_{25}&C_{26}\\C_{13}&C_{23}&C_{33}&C_{34}&C_{35}&C_{36}\\C_{14}&C_{24}&C_{34}&C_{44}&C_{45}&C_{46}\\C_{15}&C_{25}&C_{35}&C_{45}&C_{55}&C_{56}\\C_{16}&C_{26}&C_{36}&C_{46}&C_{56}&C_{66}\end{bmatrix}}}"></span></dd></dl> <p>និងច្បាប់ហ៊ូក សរសេរជា </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle [{\boldsymbol {\sigma }}]=[{\mathsf {C}}][{\boldsymbol {\epsilon }}]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">σ<!-- σ --></mi> </mrow> <mo stretchy="false">]</mo> <mo>=</mo> <mo stretchy="false">[</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">C</mi> </mrow> </mrow> <mo stretchy="false">]</mo> <mo stretchy="false">[</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold-italic">ϵ<!-- ϵ --></mi> </mrow> <mo stretchy="false">]</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [{\boldsymbol {\sigma }}]=[{\mathsf {C}}][{\boldsymbol {\epsilon }}]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/542fd2bc9325afa07bf05d16921769b9ea2d875d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:11.182ex; height:2.843ex;" alt="{\displaystyle [{\boldsymbol {\sigma }}]=[{\mathsf {C}}][{\boldsymbol {\epsilon }}]}"></span></dd></dl> <p>ឬ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \qquad \sigma _{i}=C_{ij}\epsilon _{j}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="2em" /> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>ϵ<!-- ϵ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>j</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \qquad \sigma _{i}=C_{ij}\epsilon _{j}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37fcb542374d901cb07eefe8af6d2da903e7ffcf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:14.863ex; height:2.843ex;" alt="{\displaystyle \qquad \sigma _{i}=C_{ij}\epsilon _{j}}"></span></dd></dl> <p>ស្រដៀងគ្នាដែរ តង់ស៊័រ compliance (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\mathsf {s}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">s</mi> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\mathsf {s}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bfade760ed4a592a20a7398baaa61185cee25a6a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.891ex; height:1.676ex;" alt="{\displaystyle {\mathsf {s}}}"></span>) អាចសរសេរជា </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle [{\mathsf {S}}]={\begin{bmatrix}s_{1111}&s_{1122}&s_{1133}&2s_{1123}&2s_{1131}&2s_{1112}\\s_{2211}&s_{2222}&s_{2233}&2s_{2223}&2s_{2231}&2s_{2212}\\s_{3311}&s_{3322}&s_{3333}&2s_{3323}&2s_{3331}&2s_{3312}\\2s_{2311}&2s_{2322}&2s_{2333}&4s_{2323}&4s_{2331}&4s_{2312}\\2s_{3111}&2s_{3122}&2s_{3133}&4s_{3123}&4s_{3131}&4s_{3112}\\2s_{1211}&2s_{1222}&2s_{1233}&4s_{1223}&4s_{1231}&4s_{1212}\end{bmatrix}}\equiv {\begin{bmatrix}S_{11}&S_{12}&S_{13}&S_{14}&S_{15}&S_{16}\\S_{12}&S_{22}&S_{23}&S_{24}&S_{25}&S_{26}\\S_{13}&S_{23}&S_{33}&S_{34}&S_{35}&S_{36}\\S_{14}&S_{24}&S_{34}&S_{44}&S_{45}&S_{46}\\S_{15}&S_{25}&S_{35}&S_{45}&S_{55}&S_{56}\\S_{16}&S_{26}&S_{36}&S_{46}&S_{56}&S_{66}\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="sans-serif">S</mi> </mrow> </mrow> <mo stretchy="false">]</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1111</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1122</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1133</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1123</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1131</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1112</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2211</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2222</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2233</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2223</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2231</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2212</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3311</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3322</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3333</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3323</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3331</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3312</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2311</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2322</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2333</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2323</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2331</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2312</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3111</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3122</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3133</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3123</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3131</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3112</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1211</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1222</mn> </mrow> </msub> </mtd> <mtd> <mn>2</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1233</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1223</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1231</mn> </mrow> </msub> </mtd> <mtd> <mn>4</mn> <msub> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1212</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> <mo>≡<!-- ≡ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>11</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>13</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>14</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>15</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>16</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>12</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>22</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>24</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>25</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>26</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>13</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>23</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>33</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>34</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>35</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>36</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>14</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>24</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>34</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>44</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>45</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>46</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>15</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>25</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>35</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>45</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>55</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>56</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>16</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>26</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>36</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>46</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>56</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>66</mn> </mrow> </msub> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [{\mathsf {S}}]={\begin{bmatrix}s_{1111}&s_{1122}&s_{1133}&2s_{1123}&2s_{1131}&2s_{1112}\\s_{2211}&s_{2222}&s_{2233}&2s_{2223}&2s_{2231}&2s_{2212}\\s_{3311}&s_{3322}&s_{3333}&2s_{3323}&2s_{3331}&2s_{3312}\\2s_{2311}&2s_{2322}&2s_{2333}&4s_{2323}&4s_{2331}&4s_{2312}\\2s_{3111}&2s_{3122}&2s_{3133}&4s_{3123}&4s_{3131}&4s_{3112}\\2s_{1211}&2s_{1222}&2s_{1233}&4s_{1223}&4s_{1231}&4s_{1212}\end{bmatrix}}\equiv {\begin{bmatrix}S_{11}&S_{12}&S_{13}&S_{14}&S_{15}&S_{16}\\S_{12}&S_{22}&S_{23}&S_{24}&S_{25}&S_{26}\\S_{13}&S_{23}&S_{33}&S_{34}&S_{35}&S_{36}\\S_{14}&S_{24}&S_{34}&S_{44}&S_{45}&S_{46}\\S_{15}&S_{25}&S_{35}&S_{45}&S_{55}&S_{56}\\S_{16}&S_{26}&S_{36}&S_{46}&S_{56}&S_{66}\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3fd11f0a87453a6617316935c209c61b7bf92594" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -9.005ex; width:94.159ex; height:19.176ex;" alt="{\displaystyle [{\mathsf {S}}]={\begin{bmatrix}s_{1111}&s_{1122}&s_{1133}&2s_{1123}&2s_{1131}&2s_{1112}\\s_{2211}&s_{2222}&s_{2233}&2s_{2223}&2s_{2231}&2s_{2212}\\s_{3311}&s_{3322}&s_{3333}&2s_{3323}&2s_{3331}&2s_{3312}\\2s_{2311}&2s_{2322}&2s_{2333}&4s_{2323}&4s_{2331}&4s_{2312}\\2s_{3111}&2s_{3122}&2s_{3133}&4s_{3123}&4s_{3131}&4s_{3112}\\2s_{1211}&2s_{1222}&2s_{1233}&4s_{1223}&4s_{1231}&4s_{1212}\end{bmatrix}}\equiv {\begin{bmatrix}S_{11}&S_{12}&S_{13}&S_{14}&S_{15}&S_{16}\\S_{12}&S_{22}&S_{23}&S_{24}&S_{25}&S_{26}\\S_{13}&S_{23}&S_{33}&S_{34}&S_{35}&S_{36}\\S_{14}&S_{24}&S_{34}&S_{44}&S_{45}&S_{46}\\S_{15}&S_{25}&S_{35}&S_{45}&S_{55}&S_{56}\\S_{16}&S_{26}&S_{36}&S_{46}&S_{56}&S_{66}\end{bmatrix}}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="ឯកសារយោង"><span id=".E1.9E.AF.E1.9E.80.E1.9E.9F.E1.9E.B6.E1.9E.9A.E2.80.8B.E1.9E.99.E1.9F.84.E1.9E.84.E2.80.8B"></span>ឯកសារយោង</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&action=edit&section=7" title="កែប្រែផ្នែក៖ ឯកសារយោង"><span>កែប្រែ</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation book">Symon, Keith (1971). <i>Mechanics</i>. Addison-Wesley, Reading, MA. <a href="/w/index.php?title=%E1%9E%9B%E1%9F%81%E1%9E%81%E1%9E%9F%E1%9F%80%E1%9E%9C%E1%9E%97%E1%9F%85%E1%9E%94%E1%9E%91%E1%9E%8A%E1%9F%92%E1%9E%8B%E1%9E%B6%E1%9E%93%E1%9E%A2%E1%9E%93%E1%9F%92%E1%9E%8F%E1%9E%9A%E1%9E%87%E1%9E%B6%E1%9E%8F%E1%9E%B7&action=edit&redlink=1" class="new" title="លេខសៀវភៅបទដ្ឋានអន្តរជាតិ (ទំព័រនេះមិនទាន់មាននៅឡើយទេ)">ល.ស.ប.អ.</a> <a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%94%E1%9F%92%E1%9E%9A%E1%9E%97%E1%9E%96%E1%9E%9F%E1%9F%80%E1%9E%9C%E1%9E%97%E1%9F%85/0-201-07392-7" title="ពិសេស:ប្រភពសៀវភៅ/0-201-07392-7">0-201-07392-7</a>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Mechanics&rft.aulast=Symon%2C+Keith&rft.au=Symon%2C+Keith&rft.date=1971&rft.pub=Addison-Wesley%2C+Reading%2C+MA&rft.isbn=0-201-07392-7&rfr_id=info:sid/en.wikipedia.org:%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80"><span style="display: none;"> </span></span></span> </li> </ol> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐849f99967d‐jltjj Cached time: 20241122211507 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.073 seconds Real time usage: 0.166 seconds Preprocessor visited node count: 905/1000000 Post‐expand include size: 3037/2097152 bytes Template argument size: 642/2097152 bytes Highest expansion depth: 13/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 3368/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 15.885 1 -total 100.00% 15.885 1 ទំព័រគំរូ:Cite_book 86.63% 13.761 1 ទំព័រគំរូ:Citation/core 25.06% 3.981 1 ទំព័រគំរូ:Citation/identifier 8.64% 1.373 1 ទំព័រគំរូ:Citation/make_link 7.36% 1.169 2 ទំព័រគំរូ:Hide_in_print 6.66% 1.058 1 ទំព័រគំរូ:Only_in_print --> <!-- Saved in parser cache with key kmwiki:pcache:idhash:11496-0!canonical and timestamp 20241122211507 and revision id 130276. Rendering was triggered because: api-parse --> </div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">បានពី "<a dir="ltr" href="https://km.wikipedia.org/w/index.php?title=ច្បាប់ហ៊ូក&oldid=130276">https://km.wikipedia.org/w/index.php?title=ច្បាប់ហ៊ូក&oldid=130276</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%E1%9E%96%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%9F:%E1%9E%85%E1%9F%86%E1%9E%8E%E1%9E%B6%E1%9E%8F%E1%9F%8B%E1%9E%90%E1%9F%92%E1%9E%93%E1%9E%B6%E1%9E%80%E1%9F%8B%E1%9E%80%E1%9F%92%E1%9E%9A%E1%9E%BB%E1%9E%98" title="ពិសេស:ចំណាត់ថ្នាក់ក្រុម">ចំណាត់ថ្នាក់ក្រុម</a>: <ul><li><a href="/wiki/%E1%9E%85%E1%9F%86%E1%9E%8E%E1%9E%B6%E1%9E%8F%E1%9F%8B%E1%9E%90%E1%9F%92%E1%9E%93%E1%9E%B6%E1%9E%80%E1%9F%8B%E1%9E%80%E1%9F%92%E1%9E%9A%E1%9E%BB%E1%9E%98:%E1%9E%98%E1%9F%81%E1%9E%80%E1%9E%B6%E1%9E%93%E1%9E%B7%E1%9E%85" title="ចំណាត់ថ្នាក់ក្រុម:មេកានិច">មេកានិច</a></li><li><a href="/wiki/%E1%9E%85%E1%9F%86%E1%9E%8E%E1%9E%B6%E1%9E%8F%E1%9F%8B%E1%9E%90%E1%9F%92%E1%9E%93%E1%9E%B6%E1%9E%80%E1%9F%8B%E1%9E%80%E1%9F%92%E1%9E%9A%E1%9E%BB%E1%9E%98:%E1%9E%82%E1%9F%92%E1%9E%9A%E1%9F%84%E1%9E%84%E2%80%8B%E1%9E%9C%E1%9E%B7%E1%9E%97%E1%9E%B6%E1%9E%82" title="ចំណាត់ថ្នាក់ក្រុម:គ្រោងវិភាគ">គ្រោងវិភាគ</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> ទំព័រនេះត្រូវបានកែចុងក្រោយនៅម៉ោងម៉ោង១៥:៣៨ ថ្ងៃសុក្រ ទី០៨ ខែមីនា ឆ្នាំ២០១៣។</li> <li id="footer-info-copyright">អត្ថបទនេះត្រូវបានផ្ដល់ក្រោមអាជ្ញាបណ្ណ <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution-ShareAlike License</a> ។ លក្ខខណ្ឌបន្ថែមផ្សេងៗទៀតក៏នឹងអាចត្រូវបានអនុវត្ត។ សូមមើល <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">លក្ខខណ្ឌក្នុងការប្រើប្រាស់</a> សម្រាប់ព័ត៌មានលម្អិត។</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">គោលការណ៍នៃភាពឯកជន</a></li> <li id="footer-places-about"><a href="/wiki/%E1%9E%9C%E1%9E%B7%E1%9E%82%E1%9E%B8%E1%9E%97%E1%9E%B8%E1%9E%8C%E1%9E%B6:%E1%9E%A2%E1%9F%86%E1%9E%96%E1%9E%B8">អំពីវិគីភីឌា</a></li> <li id="footer-places-disclaimers"><a href="/wiki/%E1%9E%9C%E1%9E%B7%E1%9E%82%E1%9E%B8%E1%9E%97%E1%9E%B8%E1%9E%8C%E1%9E%B6:%E1%9E%80%E1%9E%B6%E1%9E%9A%E1%9E%94%E1%9E%8A%E1%9E%B7%E1%9E%9F%E1%9F%81%E1%9E%92%E2%80%8B%E1%9E%91%E1%9E%BC%E1%9E%91%E1%9F%85">ការបដិសេធ</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">ក្រមសីលធម៌</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">អ្នកសរសេរកូដ</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/km.wikipedia.org">ស្ថិតិ</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie statement</a></li> <li id="footer-places-mobileview"><a href="//km.m.wikipedia.org/w/index.php?title=%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">អានលើឧបករណ៍ចល័ត</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-78f4c97c5d-9drxd","wgBackendResponseTime":177,"wgPageParseReport":{"limitreport":{"cputime":"0.073","walltime":"0.166","ppvisitednodes":{"value":905,"limit":1000000},"postexpandincludesize":{"value":3037,"limit":2097152},"templateargumentsize":{"value":642,"limit":2097152},"expansiondepth":{"value":13,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":3368,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 15.885 1 -total","100.00% 15.885 1 ទំព័រគំរូ:Cite_book"," 86.63% 13.761 1 ទំព័រគំរូ:Citation/core"," 25.06% 3.981 1 ទំព័រគំរូ:Citation/identifier"," 8.64% 1.373 1 ទំព័រគំរូ:Citation/make_link"," 7.36% 1.169 2 ទំព័រគំរូ:Hide_in_print"," 6.66% 1.058 1 ទំព័រគំរូ:Only_in_print"]},"cachereport":{"origin":"mw-api-int.codfw.main-849f99967d-jltjj","timestamp":"20241122211507","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"\u1785\u17d2\u1794\u17b6\u1794\u17cb\u17a0\u17ca\u17bc\u1780","url":"https:\/\/km.wikipedia.org\/wiki\/%E1%9E%85%E1%9F%92%E1%9E%94%E1%9E%B6%E1%9E%94%E1%9F%8B%E1%9E%A0%E1%9F%8A%E1%9E%BC%E1%9E%80","sameAs":"http:\/\/www.wikidata.org\/entity\/Q170282","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q170282","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2010-06-14T14:03:21Z","dateModified":"2013-03-08T15:38:28Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/km\/2\/2d\/Ressort.png"}</script> </body> </html>