Applied Mechanics of Solids (A.F. Bower)

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> <title>Applied Mechanics of Solids (A.F. Bower) - Home Page</title> <link rel=stylesheet style="text/css" href="main_page_stylesheet.css" /> </head> <body> <div class="container"> <div class="header"><img src="Header.png" alt="Insert Logo Here" name="Insert_logo" width="815" height="95" border="0" align="left" id="Insert_logo" style="background: #F00; display:block;" /> </div> <div id="cssmenu"> <ul> <li class="active"><a href="http://solidmechanics.org/index.html">Home</a></li> <li class="active"><a href="http://solidmechanics.org/contents.php">Contents</a></li> <li class="has-sub"><a href="http://solidmechanics.org/contents.php">Quick Navigation</a> <ul> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter1_1/Chapter1_1.php">1. Objectives and Applications</a> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter2_1/Chapter2_1.php">2. Governing Equations</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter2_1/Chapter2_1.php">2.1 Deformation Measures</a></li> <li><a href="http://solidmechanics.org/Text/Chapter2_2/Chapter2_2.php">2.2 Internal Forces</a></li> <li><a href="http://solidmechanics.org/Text/Chapter2_3/Chapter2_3.php">2.3 Equations of Motion</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter2_4/Chapter2_4.php">2.4 Work and Virtual Work</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter3_1/Chapter3_1.php">3. Constitutive Laws</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter3_1/Chapter3_1.php">3.1 General Principles</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php">3.2 Linear Elasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_3/Chapter3_3.php">3.3 Hypoelasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_4/Chapter3_4.php">3.4 Generalized Hookes Law</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_5/Chapter3_5.php">3.5 Hyperelasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_6/Chapter3_6.php">3.6 Small Strain Viscoelasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_7/Chapter3_7.php">3.7 Rate Independent Plasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_8/Chapter3_8.php">3.8 Small Strain Viscoplasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_9/Chapter3_9.php">3.9 Large Strain Viscoplasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_10/Chapter3_10.php">3.10 Large Strain Viscoelasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_11/Chapter3_11.php">3.11 Soils</a></li> <li><a href="http://solidmechanics.org/Text/Chapter3_12/Chapter3_12.php">3.12 Crystal Plasticity</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter3_13/Chapter3_13.php">3.13 Surfaces and Interfaces</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter4_1/Chapter4_1.php">4. Solutions to Simple Problems</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter4_1/Chapter4_1.php">4.1 Axially/Spherically Symmetric elasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter4_2/Chapter4_2.php">4.2 Axially/Spherically Symmetric plasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter4_3/Chapter4_3.php">4.3 Axially/Spherically Symmetric Hyperelasticity</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter4_4/Chapter4_4.php">4.4 1-D Elastodynamics</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter5_1/Chapter5_1.php">5. Linear Elasticity</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter5_1/Chapter5_1.php">5.1 General Principles</a></li> <li><a href="http://solidmechanics.org/Text/Chapter5_2/Chapter5_2.php">5.2 Plane Problems: Airy Function Solutions</a></li> <li><a href="http://solidmechanics.org/Text/Chapter5_3/Chapter5_3.php">5.3 Plane Problems: Complex Variable Solutions</a></li> <li><a href="http://solidmechanics.org/Text/Chapter5_4/Chapter5_4.php">5.4 3D Static Problems</a></li> <li><a href="http://solidmechanics.org/Text/Chapter5_5/Chapter5_5.php">5.5 Plane Problems for Anisotropic Solids</a></li> <li><a href="http://solidmechanics.org/Text/Chapter5_6/Chapter5_6.php">5.6 Solutions to Dynamic Problems</a></li> <li><a href="http://solidmechanics.org/Text/Chapter5_7/Chapter5_7.php">5.7 Energy Methods</a></li> <li><a href="http://solidmechanics.org/Text/Chapter5_8/Chapter5_8.php">5.8 The Reciprocal Theorem</a></li> <li><a href="http://solidmechanics.org/Text/Chapter5_9/Chapter5_9.php">5.9 Dislocations</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter5_10/Chapter5_10.php">5.10 Rayleigh-Ritz method (Vibrations)</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter6_1/Chapter6_1.php">6. Plasticity</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter6_1/Chapter6_1.php">6.1 Slip-Line Fields</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter6_2/Chapter6_2.php">6.2 Bounding Theorems</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter7_1/Chapter7_1.php">7. Intro to Finite Elements</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter7_1/Chapter7_1.php">7.1 Guide to FEA Software</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter7_2/Chapter7_2.php">7.2 Simple FEA Program</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter8_1/Chapter8_1.php">8. Theory of FEA</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter8_1/Chapter8_1.php">8.1 Generalized Linear Elasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter8_2/Chapter8_2.php">8.2 Dynamic Linear Elasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter8_3/Chapter8_3.php">8.3 Nonlinear Hypoelastic Materials</a></li> <li><a href="http://solidmechanics.org/Text/Chapter8_4/Chapter8_4.php">8.4 Hyperelasticity</a></li> <li><a href="http://solidmechanics.org/Text/Chapter8_5/Chapter8_5.php">8.5 Viscoplasticity</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter8_6/Chapter8_6.php">8.6 Special Elements</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter9_1/Chapter9_1.php">9. Modeling Failure</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter9_1/Chapter9_1.php">9.1 Summary of Failure Mechanisms</a></li> <li><a href="http://solidmechanics.org/Text/Chapter9_2/Chapter9_2.php">9.2 Stress/Strain Based Failure Criteria</a></li> <li><a href="http://solidmechanics.org/Text/Chapter9_3/Chapter9_3.php">9.3 Linear Elastic Fracture Mechanics</a></li> <li><a href="http://solidmechanics.org/Text/Chapter9_4/Chapter9_4.php">9.4 Energy Methods</a></li> <li><a href="http://solidmechanics.org/Text/Chapter9_5/Chapter9_5.php">9.5 Plastic Fracture Mechanics</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter9_6/Chapter9_6.php">9.6 Interface Fracture Mechanics</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/Chapter10_1/Chapter10_1.php">10. Rods, Plates and Shells</a> <ul> <li><a href="http://solidmechanics.org/Text/Chapter10_1/Chapter10_1.php">10.1 Dyadic Notation</a></li> <li><a href="http://solidmechanics.org/Text/Chapter10_2/Chapter10_2.php">10.2 Rods: General Theory</a></li> <li><a href="http://solidmechanics.org/Text/Chapter10_3/Chapter10_3.php">10.3 Simplified Rods - Strings and Beams</a></li> <li><a href="http://solidmechanics.org/Text/Chapter10_4/Chapter10_4.php">10.4 Solutions for Rods</a></li> <li><a href="http://solidmechanics.org/Text/Chapter10_5/Chapter10_5.php">10.5 Shells : General Theory</a></li> <li><a href="http://solidmechanics.org/Text/Chapter10_6/Chapter10_6.php">10.5 Simplified Shells: Membranes and Plates</a></li> <li class="last"><a href="http://solidmechanics.org/Text/Chapter10_7/Chapter10_7.php">10.7 Solutions for Plates and Shells</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/AppendixA/AppendixA.php">Appendix A: Vectors & Matrices</a> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/AppendixB/AppendixB.php">Appendix B: Intro to Tensors</a> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/AppendixC/AppendixC.php">Appendix C: Index Notation</a> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/AppendixD/AppendixD.php">Appendix D: Polar Coordinates</a> </li> <li class="has-sub"><a href="http://solidmechanics.org/Text/AppendixE/AppendixE.php">Appendix E: Misc. Derivations</a> </li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/problems/problems.php" >Problems</a> <ul> <li class="has-sub"><a href="http://solidmechanics.org/problems/Chapter1_1/Chapter1_1.php">1. Objectives and Applications</a> </li> <li class="has-sub"><a href="http://solidmechanics.org/problems/Chapter2_1/Chapter2_1.php">2. Governing Equations</a> <ul> <li><a href="http://solidmechanics.org/problems/Chapter2_1/Chapter2_1.php">2.1 Deformation Measures</a></li> <li><a href="http://solidmechanics.org/problems/Chapter2_2/Chapter2_2.php">2.2 Internal Forces</a></li> <li><a href="http://solidmechanics.org/problems/Chapter2_3/Chapter2_3.php">2.3 Equations of Motion</a></li> <li class="last"><a href="http://solidmechanics.org/problems/Chapter2_4/Chapter2_4.php">2.4 Work and Virtual Work</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/problems/Chapter3_1/Chapter3_1.php">3. Constitutive Laws</a> <ul> <li><a href="http://solidmechanics.org/problems/Chapter3_1/Chapter3_1.php">3.1 General Principles</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_2/Chapter3_2.php">3.2 Linear Elasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_3/Chapter3_3.php">3.3 Hypoelasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_4/Chapter3_4.php">3.4 Generalized Hookes Law</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_5/Chapter3_5.php">3.5 Hyperelasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_6/Chapter3_6.php">3.6 Small Strain Viscoelasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_7/Chapter3_7.php">3.7 Rate Independent Plasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_8/Chapter3_8.php">3.8 Small Strain Viscoplasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_9/Chapter3_9.php">3.9 Large Strain Viscoplasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_10/Chapter3_10.php">3.10 Large Strain Viscoelasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_11/Chapter3_11.php">3.11 Soils</a></li> <li><a href="http://solidmechanics.org/problems/Chapter3_12/Chapter3_12.php">3.12 Crystal Plasticity</a></li> <li class="last"><a href="http://solidmechanics.org/problems/Chapter3_13/Chapter3_13.php">3.13 Surfaces and Interfaces</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/problems/Chapter4_1/Chapter4_1.php">4. Solutions to Simple Problems</a> <ul> <li><a href="http://solidmechanics.org/problems/Chapter4_1/Chapter4_1.php">4.1 Axially/Spherically Symmetric elasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter4_2/Chapter4_2.php">4.2 Axially/Spherically Symmetric plasticity</a></li> <li><a href="http://solidmechanics.org/problems/Chapter4_3/Chapter4_3.php">4.3 Axially/Spherically Symmetric Hyperelasticity</a></li> <li class="last"><a href="http://solidmechanics.org/problems/Chapter4_4/Chapter4_4.php">4.4 1-D Elastodynamics</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/problems/Chapter5_1/Chapter5_1.php">5. Linear Elasticity</a> <ul> <li><a href="http://solidmechanics.org/problems/Chapter5_1/Chapter5_1.php">5.1 General Principles</a></li> <li><a href="http://solidmechanics.org/problems/Chapter5_2/Chapter5_2.php">5.2 Plane Problems: Airy Function Solutions</a></li> <li><a href="http://solidmechanics.org/problems/Chapter5_3/Chapter5_3.php">5.3 Plane Problems: Complex Variable Solutions</a></li> <li><a href="http://solidmechanics.org/problems/Chapter5_4/Chapter5_4.php">5.4 3D Static Problems</a></li> <li><a href="http://solidmechanics.org/problems/Chapter5_5/Chapter5_5.php">5.5 Plane Problems for Anisotropic Solids</a></li> <li><a href="http://solidmechanics.org/problems/Chapter5_6/Chapter5_6.php">5.6 Solutions to Dynamic Problems/span></a></li> <li><a href="http://solidmechanics.org/problems/Chapter5_7/Chapter5_7.php">5.7 Energy Methods</a></li> <li><a href="http://solidmechanics.org/problems/Chapter5_8/Chapter5_8.php">5.8 The Reciprocal Theorem</a></li> <li><a href="http://solidmechanics.org/problems/Chapter5_9/Chapter5_9.php">5.9 Dislocations</a></li> <li class="last"><a href="http://solidmechanics.org/problems/Chapter5_10/Chapter5_10.php">5.10 Rayleigh-Ritz method (Vibrations)</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/problems/Chapter6_1/Chapter6_1.php">6. Plasticity</a> <ul> <li><a href="http://solidmechanics.org/problems/Chapter6_1/Chapter6_1.php">6.1 Slip Line Fields</a></li> <li class="last"><a href="http://solidmechanics.org/problems/Chapter6_2/Chapter6_2.php">6.2 Bounding Theorems</a></li> </ul> </li> <li class="has-sub"><a href="http://solidmechanics.org/problems/Chapter7_1/Chapter7_1.php">7. Introduction to FEA</a> <ul> <li><a href="http://solidmechanics.org/problems/Chapter7_1/Chapter7_1.php">7.1 Using Commercial FEA Software</a></li> <li class="last"><a href="http://solidmechanics.org/problems/Chapter7_2/Chapter7_2.php">7.2 Simple FEA code</a></li> </ul> </li> </ul> </li> <li class="last"><a href="http://solidmechanics.org/FEA.php">FEA Codes</a></li> </ul> </div> <div class="sidebar1"> <h1>  </h1>   <form method="get" action="http://www.google.com/search"> <div align="center"> <input type="submit" value="Google Search" /> <input type="text" name="q" size="21" maxlength="200" value="" /> <input type="checkbox" name="sitesearch" value="http://solidmechanics.org/" checked/>Only search this site </div> </form>   <ul> <li><a href="http://solidmechanics.org/contents.php">Table of Contents聽 >></a></li> <li><a href="http://solidmechanics.org/problems/problems.php">Example Problems >></a></li> <li><a href="http://solidmechanics.org/FEA.php">Sample FEA codes >></a></li> <li><a href="http://solidmechanics.org/references.htm">Cited references >></a></li> <li><a href="http://solidmechanics.org/author.htm">About the author >></a></li> <li><a href="http://www.amazon.com/Applied-Mechanics-Solids-Allan-Bower/dp/1439802475/ref=sr_1_1?ie=UTF8&s=books&qid=1245442112&sr=1-1">Buy a print version >></a></li> <li><a href="http://solidmechanics.org/problems/problems.htm">Download problems>></a></li> </ul>           This website was created with Microsoft Frontpage and no longer functions correctly with modern browsers.</pre>   The site is being updated, but the process will take some time - apologies for the inconvenience.         </div> <div class="content"> <h2 align="center"> </h2> <img border="0" src="Logo.png" width="250" height="161" align="center" > <h1 align="center"> </h1> <h1 align="center" style="font-size: 14pt; font-family: Arial, Helvetica, sans-serif;">Applied Mechanics of Solids </h1> <h3 align="center">聽聽聽聽 Allan F. Bower聽聽聽聽聽聽 </h3>   This electronic text summarizes the physical laws, mathematical methods, and computer algorithms that are used to predict the response of materials and structures to mechanical or thermal loading. Topics include: the mathematical descriptions of deformation and forces in solids; constitutive laws; analytical techniques and solutions to linear elastic and elastic-plastic boundary value problems; the use and theory of finite element analysis; fracture mechanics; and the theory of deformable rods, plates and shells. Over 400 practice problems are provided, as well as demonstration finite element codes in MAPLE and MATLAB. The text is intended for advanced undergraduate or graduate students, as well as practicing engineers and scientists.聽 It will be particularly useful to readers who wish to learn enough about solid mechanics to impress their teachers, colleagues, research advisors, or managers, but who would prefer not to study the subject in depth. A printed copy of the text has published by Taylor and Francis and is available from <a href="http://www.amazon.com/Applied-Mechanics-Solids-Allan-Bower/dp/1439802475/ref=sr_1_1?ie=UTF8&s=books&qid=1245442112&sr=1-1">Amazon</a>.聽 For length reasons, and to minimize cost, the print version does not include the problem sets. Word or pdf files of the problems may be downloaded聽<a href="http://solidmechanics.org/problems/problems.htm">here</a>. The electronic web site will continue to be freely available. </div> <div class="footer"> (c) A.F. Bower (2012) </div> </div> </body> </html>

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