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theorem</title> <meta name="description" content="Search results for: distortion theorem"> <meta name="keywords" content="distortion theorem"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="distortion theorem"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 438</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: distortion theorem</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">438</span> A Study on Weddernburn – Artin Theorem for Rings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fahad%20Suleiman">Fahad Suleiman</a>, <a href="https://publications.waset.org/abstracts/search?q=Sammani%20Abdullahi"> Sammani Abdullahi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The study depicts that a Wedderburn Artin – theorem for rings is considered to be a semisimple ring R which is isomorphic to a product of finitely many mi by mi matrix rings over division rings Di, for some integers n_i, both of which are uniquely determined up to permutation of the index i. It has been concluded that when R is simple the Wedderburn – Artin theorem is known as Wedderburn’s theorem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Commutativity" title="Commutativity">Commutativity</a>, <a href="https://publications.waset.org/abstracts/search?q=Wedderburn%20theorem" title=" Wedderburn theorem"> Wedderburn theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=Semisimple%20ring" title=" Semisimple ring"> Semisimple ring</a>, <a href="https://publications.waset.org/abstracts/search?q=R%20module" title=" R module"> R module</a> </p> <a href="https://publications.waset.org/abstracts/115025/a-study-on-weddernburn-artin-theorem-for-rings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/115025.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">164</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">437</span> Application of Chinese Remainder Theorem to Find The Messages Sent in Broadcast</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ayubi%20Wirara">Ayubi Wirara</a>, <a href="https://publications.waset.org/abstracts/search?q=Ardya%20Suryadinata"> Ardya Suryadinata</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Improper application of the RSA algorithm scheme can cause vulnerability to attacks. The attack utilizes the relationship between broadcast messages sent to the user with some fixed polynomial functions that belong to each user. Scheme attacks carried out by applying the Chinese Remainder Theorem to obtain a general polynomial equation with the same modulus. The formation of the general polynomial becomes a first step to get back the original message. Furthermore, to solve these equations can use Coppersmith's theorem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=RSA%20algorithm" title="RSA algorithm">RSA algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=broadcast%20message" title=" broadcast message"> broadcast message</a>, <a href="https://publications.waset.org/abstracts/search?q=Chinese%20Remainder%20Theorem" title=" Chinese Remainder Theorem"> Chinese Remainder Theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=Coppersmith%E2%80%99s%20theorem" title=" Coppersmith’s theorem"> Coppersmith’s theorem</a> </p> <a href="https://publications.waset.org/abstracts/9543/application-of-chinese-remainder-theorem-to-find-the-messages-sent-in-broadcast" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9543.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">341</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">436</span> Radial Distortion Correction Based on the Concept of Verifying the Planarity of a Specimen</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shih-Heng%20Tung">Shih-Heng Tung</a>, <a href="https://publications.waset.org/abstracts/search?q=Ming-Hsiang%20Shih"> Ming-Hsiang Shih</a>, <a href="https://publications.waset.org/abstracts/search?q=Wen-Pei%20Sung"> Wen-Pei Sung</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Because of the rapid development of digital camera and computer, digital image correlation method has drawn lots of attention recently and has been applied to a variety of fields. However, the image distortion is inevitable when the image is captured through a lens. This image distortion problem can result in an innegligible error while using digital image correlation method. There are already many different ways to correct the image distortion, and most of them require specific image patterns or precise control points. A new distortion correction method is proposed in this study. The proposed method is based on the fact that a flat surface should keep flat when it is measured using three-dimensional (3D) digital image measurement technique. Lens distortion can be divided into radial distortion, decentering distortion and thin prism distortion. Because radial distortion has a more noticeable influence than the other types of distortions, this method deals only with radial distortion. The simplified 3D digital image measurement technique is adopted to measure the surface coordinates of a flat specimen. Then the gradient method is applied to find the best correction parameters. A few experiments are carried out in this study to verify the correctness of this method. The results show that this method can achieve a good accuracy and it is suitable for both large and small distortion conditions. The most important advantage is that it requires neither mark with specific pattern nor precise control points. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=3D%20DIC" title="3D DIC">3D DIC</a>, <a href="https://publications.waset.org/abstracts/search?q=radial%20distortion" title=" radial distortion"> radial distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=distortion%20correction" title=" distortion correction"> distortion correction</a>, <a href="https://publications.waset.org/abstracts/search?q=planarity" title=" planarity"> planarity</a> </p> <a href="https://publications.waset.org/abstracts/26168/radial-distortion-correction-based-on-the-concept-of-verifying-the-planarity-of-a-specimen" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/26168.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">551</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">435</span> Fuglede-Putnam Theorem for ∗-Class A Operators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Husein%20Mohammad%20Rashid">Mohammed Husein Mohammad Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For a bounded linear operator T acting on a complex inﬁnite dimensional Hilbert space ℋ, we say that T is ∗-class A operator (abbreviation T∈A*) if |T²|≥ |T*|². In this article, we prove the following assertions:(i) we establish some conditions which imply the normality of ∗-class A; (ii) we consider ∗-class A operator T ∈ ℬ(ℋ) with reducing kernel such that TX = XS for some X ∈ ℬ(K, ℋ) and prove the Fuglede-Putnam type theorem when adjoint of S ∈ ℬ(K) is dominant operators; (iii) furthermore, we extend the asymmetric Putnam-Fuglede theorem the class of ∗-class A operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fuglede-putnam%20theorem" title="fuglede-putnam theorem">fuglede-putnam theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=normal%20operators" title=" normal operators"> normal operators</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%88%97-class%20a%20operators" title=" ∗-class a operators"> ∗-class a operators</a>, <a href="https://publications.waset.org/abstracts/search?q=dominant%20operators" title=" dominant operators"> dominant operators</a> </p> <a href="https://publications.waset.org/abstracts/159132/fuglede-putnam-theorem-for-class-a-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159132.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">88</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">434</span> Prediction of Welding Induced Distortion in Thin Metal Plates Using Temperature Dependent Material Properties and FEA</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rehan%20Waheed">Rehan Waheed</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdul%20Shakoor"> Abdul Shakoor</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Distortion produced during welding of thin metal plates is a problem in many industries. The purpose of this research was to study distortion produced during welding in 2mm Mild Steel plate by simulating the welding process using Finite Element Analysis. Simulation of welding process requires a couple field transient analyses. At first a transient thermal analysis is performed and the temperature obtained from thermal analysis is used as input in structural analysis to find distortion. An actual weld sample is prepared and the weld distortion produced is measured. The simulated and actual results were in quite agreement with each other and it has been found that there is profound deflection at center of plate. Temperature dependent material properties play significant role in prediction of weld distortion. The results of this research can be used for prediction and control of weld distortion in large steel structures by changing different weld parameters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=welding%20simulation" title="welding simulation">welding simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=FEA" title=" FEA"> FEA</a>, <a href="https://publications.waset.org/abstracts/search?q=welding%20distortion" title=" welding distortion"> welding distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=temperature%20dependent%20mechanical%20properties" title=" temperature dependent mechanical properties"> temperature dependent mechanical properties</a> </p> <a href="https://publications.waset.org/abstracts/12909/prediction-of-welding-induced-distortion-in-thin-metal-plates-using-temperature-dependent-material-properties-and-fea" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12909.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">390</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">433</span> Some Inequalities Related with Starlike Log-Harmonic Mappings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Melike%20Aydo%C4%9Fan">Melike Aydoğan</a>, <a href="https://publications.waset.org/abstracts/search?q=D%C3%BCrdane%20%C3%96zt%C3%BCrk"> Dürdane Öztürk</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let H(D) be the linear space of all analytic functions defined on the open unit disc. A log-harmonic mappings is a solution of the nonlinear elliptic partial differential equation where w(z) ∈ H(D) is second dilatation such that |w(z)| < 1 for all z ∈ D. The aim of this paper is to define some inequalities of starlike logharmonic functions of order α(0 ≤ α ≤ 1). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=starlike%20log-harmonic%20functions" title="starlike log-harmonic functions">starlike log-harmonic functions</a>, <a href="https://publications.waset.org/abstracts/search?q=univalent%20functions" title=" univalent functions"> univalent functions</a>, <a href="https://publications.waset.org/abstracts/search?q=distortion%20theorem" title=" distortion theorem"> distortion theorem</a> </p> <a href="https://publications.waset.org/abstracts/22032/some-inequalities-related-with-starlike-log-harmonic-mappings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22032.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">525</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">432</span> Harmonic Distortion Caused by Electric Bus Battery Charger in Alexandria Distribution System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Elhosieny%20Aly%20Ismail">Mohamed Elhosieny Aly Ismail</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper illustrates the total voltage and current harmonic distortion impact caused by fast-charging an electric bus and maintaining standard limit compliance. Measuring the current harmonic level in the range of 2 kHz-9 kHz. Also, the impact of the total demand distortions current caused by fast charger electric bus on the utility by measuring at the point of common coupling and comparing the measurement with IEEE519 -2014 standard. The results show that the total harmonic current distortion for the charger is within the limits of IEC 61000-3-12 and the fifth harmonic current was the most dominant frequency then the seventh harmonic current. The harmonic current in the range of 2 kHz- 9 kHz shows the frequency 5.1kHz is the most dominant frequency. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=electric%20vehicle" title="electric vehicle">electric vehicle</a>, <a href="https://publications.waset.org/abstracts/search?q=total%20harmonic%20distortion" title=" total harmonic distortion"> total harmonic distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=IEEE519-2014" title=" IEEE519-2014"> IEEE519-2014</a>, <a href="https://publications.waset.org/abstracts/search?q=IEC%2061000-3-12" title=" IEC 61000-3-12"> IEC 61000-3-12</a>, <a href="https://publications.waset.org/abstracts/search?q=super%20harmonic%20distortion" title=" super harmonic distortion"> super harmonic distortion</a> </p> <a href="https://publications.waset.org/abstracts/177738/harmonic-distortion-caused-by-electric-bus-battery-charger-in-alexandria-distribution-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/177738.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">101</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">431</span> Promotion of Lipid Syntheses of Microalgae by Microfluidic-Assisted Membrane Distortion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seul%20Ki%20Min">Seul Ki Min</a>, <a href="https://publications.waset.org/abstracts/search?q=Gwang%20Heum%20Yoon"> Gwang Heum Yoon</a>, <a href="https://publications.waset.org/abstracts/search?q=Jung%20Hyun%20Joo"> Jung Hyun Joo</a>, <a href="https://publications.waset.org/abstracts/search?q=Hwa%20Sung%20Shin"> Hwa Sung Shin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Cellular membrane distortion is known as a factor to change intracellular signaling. However, progress of relevant studies is difficult because there are no facilities that can control membrane distortion finely. In this study, we developed microfluidic device which can inflict mechanical stress on cell membrane of Chlamydomonas reinhardtii using regular height of the channels. And cellular physiological changes were analyzed from cells cultured in the device. Excessive calcium ion influx through into cytoplasm was induced from mechanical stress. The results revealed that compressed cells had up-regulated Mat3 mRNA which regulates cell size and cell cycle from a prolonged G1 phase. Additionally, TAG used for the production of biodiesel was raised rapidly from 4 h after compression. Taken together, membrane distortion can be considered as an attractive inducer for biofuel production. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mechanical%20stress" title="mechanical stress">mechanical stress</a>, <a href="https://publications.waset.org/abstracts/search?q=membrane%20distortion" title=" membrane distortion"> membrane distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=Chlamydomonas%20reinhardtii" title=" Chlamydomonas reinhardtii"> Chlamydomonas reinhardtii</a>, <a href="https://publications.waset.org/abstracts/search?q=deflagellation" title=" deflagellation"> deflagellation</a>, <a href="https://publications.waset.org/abstracts/search?q=cell%20cycle" title=" cell cycle"> cell cycle</a>, <a href="https://publications.waset.org/abstracts/search?q=lipid%20metabolism" title=" lipid metabolism"> lipid metabolism</a> </p> <a href="https://publications.waset.org/abstracts/7818/promotion-of-lipid-syntheses-of-microalgae-by-microfluidic-assisted-membrane-distortion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7818.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">375</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">430</span> Analysis of Mechanotransduction-Induced Microalgae under Direct Membrane Distortion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Myung%20Kwon%20Cho">Myung Kwon Cho</a>, <a href="https://publications.waset.org/abstracts/search?q=Seul%20Ki%20Min"> Seul Ki Min</a>, <a href="https://publications.waset.org/abstracts/search?q=Gwang%20Heum%20Yoon"> Gwang Heum Yoon</a>, <a href="https://publications.waset.org/abstracts/search?q=Jung%20Hyun%20Joo"> Jung Hyun Joo</a>, <a href="https://publications.waset.org/abstracts/search?q=Sang%20Jun%20Sim"> Sang Jun Sim</a>, <a href="https://publications.waset.org/abstracts/search?q=Hwa%20Sung%20Shin"> Hwa Sung Shin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mechanotransduction is a mechanism that external mechanical stimulation is converted to biochemical activity in the cell. When applying this mechanism to the unicellular green algae Chlamydomonas reinhardtii, the dramatic result that the accumulation of intracellular lipid was up to 60% of dry weight basis occurred. Furthermore, various variations in cellular physiology occurred, but there is a lack of the development of the system and related research for applying that technology to control the mechanical stress and facilitate molecular analyses. In this study, applying a mechanical stress to microalgae, the microfluidic device system that finely induced direct membrane distortion of microalgae. Cellular membrane distortion led to deflagellation, calcium influx and lipid accumulation in microalgae. In conclusion, cytological studies such as mechanotransduction can be actualized by using this system and membrane distortion is a promising inducer for biodiesel production. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mechanotransduction" title="mechanotransduction">mechanotransduction</a>, <a href="https://publications.waset.org/abstracts/search?q=microalgae" title=" microalgae"> microalgae</a>, <a href="https://publications.waset.org/abstracts/search?q=membrane%20distortion" title=" membrane distortion"> membrane distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=biodiesel" title=" biodiesel"> biodiesel</a> </p> <a href="https://publications.waset.org/abstracts/50869/analysis-of-mechanotransduction-induced-microalgae-under-direct-membrane-distortion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50869.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">323</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">429</span> Generalization of Zhou Fixed Point Theorem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yu%20Lu">Yu Lu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Fixed point theory is a basic tool for the study of the existence of Nash equilibria in game theory. This paper presents a significant generalization of the Veinott-Zhou fixed point theorem for increasing correspondences, which serves as an essential framework for investigating the existence of Nash equilibria in supermodular and quasisupermodular games. To establish our proofs, we explore different conceptions of multivalued increasingness and provide comprehensive results concerning the existence of the largest/least fixed point. We provide two distinct approaches to the proof, each offering unique insights and advantages. These advancements not only extend the applicability of the Veinott-Zhou theorem to a broader range of economic scenarios but also enhance the theoretical framework for analyzing equilibrium behavior in complex game-theoretic models. Our findings pave the way for future research in the development of more sophisticated models of economic behavior and strategic interaction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fixed-point" title="fixed-point">fixed-point</a>, <a href="https://publications.waset.org/abstracts/search?q=Tarski%E2%80%99s%20fixed-point%20theorem" title=" Tarski’s fixed-point theorem"> Tarski’s fixed-point theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=Nash%20equilibrium" title=" Nash equilibrium"> Nash equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=supermodular%20game" title=" supermodular game"> supermodular game</a> </p> <a href="https://publications.waset.org/abstracts/185964/generalization-of-zhou-fixed-point-theorem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/185964.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">54</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">428</span> Harmonic Distortion Analysis in Low Voltage Grid with Grid-Connected Photovoltaic</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hedi%20Dghim">Hedi Dghim</a>, <a href="https://publications.waset.org/abstracts/search?q=Ahmed%20El-Naggar"> Ahmed El-Naggar</a>, <a href="https://publications.waset.org/abstracts/search?q=Istvan%20Erlich"> Istvan Erlich</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Power electronic converters are being introduced in low voltage (LV) grids at an increasingly rapid rate due to the growing adoption of power electronic-based home appliances in residential grid. Photovoltaic (PV) systems are considered one of the potential installed renewable energy sources in distribution power systems. This trend has led to high distortion in the supply voltage which consequently produces harmonic currents in the network and causes an inherent voltage unbalance. In order to investigate the effect of harmonic distortions, a case study of a typical LV grid configuration with high penetration of 3-phase and 1-phase rooftop mounted PV from southern Germany was first considered. Electromagnetic transient (EMT) simulations were then carried out under the MATLAB/Simulink environment which contain detailed models for power electronic-based loads, ohmic-based loads as well as 1- and 3-phase PV. Note that, the switching patterns of the power electronic circuits were considered in this study. Measurements were eventually performed to analyze the distortion levels when PV operating under different solar irradiance. The characteristics of the load-side harmonic impedances were analyzed, and their harmonic contributions were evaluated for different distortion levels. The effect of the high penetration of PV on the harmonic distortion of both positive and negative sequences was also investigated. The simulation results are presented based on case studies. The current distortion levels are in agreement with relevant standards, otherwise the Total Harmonic Distortion (THD) increases under low PV power generation due to its inverse relation with the fundamental current. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=harmonic%20distortion%20analysis" title="harmonic distortion analysis">harmonic distortion analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20quality" title=" power quality"> power quality</a>, <a href="https://publications.waset.org/abstracts/search?q=PV%20systems" title=" PV systems"> PV systems</a>, <a href="https://publications.waset.org/abstracts/search?q=residential%20distribution%20system" title=" residential distribution system"> residential distribution system</a> </p> <a href="https://publications.waset.org/abstracts/96165/harmonic-distortion-analysis-in-low-voltage-grid-with-grid-connected-photovoltaic" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/96165.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">267</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">427</span> Weyl Type Theorem and the Fuglede Property</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20H.%20M.%20Rashid">M. H. M. Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Given H a Hilbert space and B(H) the algebra of bounded linear operator in H, let δAB denote the generalized derivation defined by A and B. The main objective of this article is to study Weyl type theorems for generalized derivation for (A,B) satisfying a couple of Fuglede. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fuglede%20Property" title="Fuglede Property">Fuglede Property</a>, <a href="https://publications.waset.org/abstracts/search?q=Weyl%E2%80%99s%20theorem" title=" Weyl’s theorem"> Weyl’s theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20derivation" title=" generalized derivation"> generalized derivation</a>, <a href="https://publications.waset.org/abstracts/search?q=Aluthge%20transform" title=" Aluthge transform"> Aluthge transform</a> </p> <a href="https://publications.waset.org/abstracts/113531/weyl-type-theorem-and-the-fuglede-property" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/113531.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">128</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">426</span> Application of a Universal Distortion Correction Method in Stereo-Based Digital Image Correlation Measurement</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hu%20Zhenxing">Hu Zhenxing</a>, <a href="https://publications.waset.org/abstracts/search?q=Gao%20Jianxin"> Gao Jianxin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Stereo-based digital image correlation (also referred to as three-dimensional (3D) digital image correlation (DIC)) is a technique for both 3D shape and surface deformation measurement of a component, which has found increasing applications in academia and industries. The accuracy of the reconstructed coordinate depends on many factors such as configuration of the setup, stereo-matching, distortion, etc. Most of these factors have been investigated in literature. For instance, the configuration of a binocular vision system determines the systematic errors. The stereo-matching errors depend on the speckle quality and the matching algorithm, which can only be controlled in a limited range. And the distortion is non-linear particularly in a complex imaging acquisition system. Thus, the distortion correction should be carefully considered. Moreover, the distortion function is difficult to formulate in a complex imaging acquisition system using conventional models in such cases where microscopes and other complex lenses are involved. The errors of the distortion correction will propagate to the reconstructed 3D coordinates. To address the problem, an accurate mapping method based on 2D B-spline functions is proposed in this study. The mapping functions are used to convert the distorted coordinates into an ideal plane without distortions. This approach is suitable for any image acquisition distortion models. It is used as a prior process to convert the distorted coordinate to an ideal position, which enables the camera to conform to the pin-hole model. A procedure of this approach is presented for stereo-based DIC. Using 3D speckle image generation, numerical simulations were carried out to compare the accuracy of both the conventional method and the proposed approach. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=distortion" title="distortion">distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=stereo-based%20digital%20image%20correlation" title=" stereo-based digital image correlation"> stereo-based digital image correlation</a>, <a href="https://publications.waset.org/abstracts/search?q=b-spline" title=" b-spline"> b-spline</a>, <a href="https://publications.waset.org/abstracts/search?q=3D" title=" 3D"> 3D</a>, <a href="https://publications.waset.org/abstracts/search?q=2D" title=" 2D "> 2D </a> </p> <a href="https://publications.waset.org/abstracts/20547/application-of-a-universal-distortion-correction-method-in-stereo-based-digital-image-correlation-measurement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20547.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">498</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">425</span> Investigation of Distortion and Impact Strength of 304L Butt Joint Using Different Weld Groove</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Sharma">A. Sharma</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20S.%20Sandhu"> S. S. Sandhu</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Shahi"> A. Shahi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Kumar"> A. Kumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aim of present investigation was to carry out Finite element modeling of distortion in the case of butt weld. 12mm thick AISI 304L plates were butt welded using three different combinations of groove design namely Double U, Double V and Composite. A full simulation of shielded metal arc welding (SMAW) of nonlinear heat transfer is carried out. Aspects like, temperature-dependent thermal properties of AISI stainless steel above liquid phase, the effect of thermal boundary conditions, were included in the model. Since welding heat dissipation characteristics changed due to variable groove design significant changes in the microhardness tensile strength and impact toughness of the joints were observed. The cumulative distortion was found to be least in double V joint followed by the Composite and Double U-joints. All the joints have joint efficiency more than 100%. CVN value of the Double V-groove weld metal was highest. The experimental results and the FEM results were compared and reveal a very good correlation for distortion and weld groove design for a multipass joint with a standard analogy of 83%. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=AISI%20304%20L" title="AISI 304 L">AISI 304 L</a>, <a href="https://publications.waset.org/abstracts/search?q=Butt%20joint" title=" Butt joint"> Butt joint</a>, <a href="https://publications.waset.org/abstracts/search?q=distortion" title=" distortion"> distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=FEM" title=" FEM"> FEM</a>, <a href="https://publications.waset.org/abstracts/search?q=groove%20design" title=" groove design"> groove design</a>, <a href="https://publications.waset.org/abstracts/search?q=SMAW" title=" SMAW"> SMAW</a> </p> <a href="https://publications.waset.org/abstracts/29787/investigation-of-distortion-and-impact-strength-of-304l-butt-joint-using-different-weld-groove" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29787.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">405</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">424</span> Modeling of Surge Corona Using Type94 in Overhead Power Lines </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zahira%20Anane">Zahira Anane</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelhafid%20Bayadi"> Abdelhafid Bayadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Corona in the HV overhead transmission lines is an important source of attenuation and distortion of overvoltage surges. This phenomenon of distortion, which is superimposed on the distortion by skin effect, is due to the dissipation of energy by injection of space charges around the conductor, this process with place as soon as the instantaneous voltage exceeds the threshold voltage of the corona effect conductors. This paper presents a mathematical model to determine the corona inception voltage, the critical electric field and the corona radius, to predict the capacitive changes at conductor of transmission line due to corona. This model has been incorporated into the Alternative Transients Program version of the Electromagnetic Transients Program (ATP/EMTP) as a user defined component, using the MODELS interface with NORTON TYPE94 of this program and using the foreign subroutine. For obtained the displacement of corona charge hell, dichotomy mathematical method is used for this computation. The present corona model can be used for computing of distortion and attenuation of transient overvoltage waves being propagated in a transmission line of the very high voltage electric power. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=high%20voltage" title="high voltage">high voltage</a>, <a href="https://publications.waset.org/abstracts/search?q=corona" title=" corona"> corona</a>, <a href="https://publications.waset.org/abstracts/search?q=Type94%20NORTON" title=" Type94 NORTON"> Type94 NORTON</a>, <a href="https://publications.waset.org/abstracts/search?q=dichotomy" title=" dichotomy"> dichotomy</a>, <a href="https://publications.waset.org/abstracts/search?q=ATP%2FEMTP" title=" ATP/EMTP"> ATP/EMTP</a>, <a href="https://publications.waset.org/abstracts/search?q=MODELS" title=" MODELS"> MODELS</a>, <a href="https://publications.waset.org/abstracts/search?q=distortion" title=" distortion"> distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=foreign%20model" title=" foreign model"> foreign model</a> </p> <a href="https://publications.waset.org/abstracts/13251/modeling-of-surge-corona-using-type94-in-overhead-power-lines" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13251.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">625</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">423</span> Cryptographic Attack on Lucas Based Cryptosystems Using Chinese Remainder Theorem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tze%20Jin%20Wong">Tze Jin Wong</a>, <a href="https://publications.waset.org/abstracts/search?q=Lee%20Feng%20Koo"> Lee Feng Koo</a>, <a href="https://publications.waset.org/abstracts/search?q=Pang%20Hung%20Yiu"> Pang Hung Yiu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Lenstra’s attack uses Chinese remainder theorem as a tool and requires a faulty signature to be successful. This paper reports on the security responses of fourth and sixth order Lucas based (LUC<sub>4,6</sub>) cryptosystem under the Lenstra’s attack as compared to the other two Lucas based cryptosystems such as LUC and LUC<sub>3</sub> cryptosystems. All the Lucas based cryptosystems were exposed mathematically to the Lenstra’s attack using Chinese Remainder Theorem and Dickson polynomial. Result shows that the possibility for successful Lenstra’s attack is less against LUC<sub>4,6</sub> cryptosystem than LUC<sub>3</sub> and LUC cryptosystems. Current study concludes that LUC<sub>4,6</sub> cryptosystem is more secure than LUC and LUC<sub>3</sub> cryptosystems in sustaining against Lenstra’s attack. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lucas%20sequence" title="Lucas sequence">Lucas sequence</a>, <a href="https://publications.waset.org/abstracts/search?q=Dickson%20polynomial" title=" Dickson polynomial"> Dickson polynomial</a>, <a href="https://publications.waset.org/abstracts/search?q=faulty%20signature" title=" faulty signature"> faulty signature</a>, <a href="https://publications.waset.org/abstracts/search?q=corresponding%20signature" title=" corresponding signature"> corresponding signature</a>, <a href="https://publications.waset.org/abstracts/search?q=congruence" title=" congruence"> congruence</a> </p> <a href="https://publications.waset.org/abstracts/97395/cryptographic-attack-on-lucas-based-cryptosystems-using-chinese-remainder-theorem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/97395.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">166</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">422</span> Existence Solutions for Three Point Boundary Value Problem for Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Houas">Mohamed Houas</a>, <a href="https://publications.waset.org/abstracts/search?q=Maamar%20Benbachir"> Maamar Benbachir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, under weak assumptions, we study the existence and uniqueness of solutions for a nonlinear fractional boundary value problem. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using scheafer and krasnoselskii's fixed point theorem. At the end, some illustrative examples are presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=caputo%20derivative" title="caputo derivative">caputo derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20value%20problem" title=" boundary value problem"> boundary value problem</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed%20point%20theorem" title=" fixed point theorem"> fixed point theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=local%20conditions" title=" local conditions"> local conditions</a> </p> <a href="https://publications.waset.org/abstracts/13970/existence-solutions-for-three-point-boundary-value-problem-for-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13970.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">428</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">421</span> Existence of Positive Solutions for Second-Order Difference Equation with Discrete Boundary Value Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Thanin%20Sitthiwirattham">Thanin Sitthiwirattham</a>, <a href="https://publications.waset.org/abstracts/search?q=Jiraporn%20Reunsumrit">Jiraporn Reunsumrit</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the existence of positive solutions to the three points difference summation boundary value problem. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem due to Krasnoselskii in cones. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=positive%20solution" title="positive solution">positive solution</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20value%20problem" title=" boundary value problem"> boundary value problem</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed%20point%20theorem" title=" fixed point theorem"> fixed point theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=cone" title=" cone"> cone</a> </p> <a href="https://publications.waset.org/abstracts/5029/existence-of-positive-solutions-for-second-order-difference-equation-with-discrete-boundary-value-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5029.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">439</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">420</span> Gravity Due to the Expansion of Matter and Distortion of Hyperspace</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arif%20Ali">Arif Ali</a>, <a href="https://publications.waset.org/abstracts/search?q=Divya%20Raj%20Sapkota"> Divya Raj Sapkota</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we explain gravitational attraction as the consequence of the dynamics of four-dimensional bodies and the consequent distortion of space. This approach provides an alternative direction to understand various physical phenomena based on the existence of the fourth spatial dimension. For this interpretation, we formulate the acceleration due to gravity and orbital velocity based on the accelerating expansion of three-dimensional symmetric bodies. It is also shown how distortion in space caused by the dynamics of four-dimensional bodies counterbalances the effect of expansion. We find that the motion of four-dimensional bodies through four-dimensional space leads to gravitational attraction, and the expansion of bodies leads to surface gravity. Thus, dynamics in the fourth spatial dimension provide an alternative explanation to gravity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dimensions" title="dimensions">dimensions</a>, <a href="https://publications.waset.org/abstracts/search?q=four" title=" four"> four</a>, <a href="https://publications.waset.org/abstracts/search?q=gravity" title=" gravity"> gravity</a>, <a href="https://publications.waset.org/abstracts/search?q=voluceleration" title=" voluceleration"> voluceleration</a> </p> <a href="https://publications.waset.org/abstracts/159147/gravity-due-to-the-expansion-of-matter-and-distortion-of-hyperspace" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159147.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">98</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">419</span> From the Recursive Definition of Refutability to the Invalidity of Gödel’s 1931 Incompleteness</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Paola%20Cattabriga">Paola Cattabriga</a> </p> <p class="card-text"><strong>Abstract:</strong></p> According to Gödel’s first incompleteness argument it is possible to construct a formally undecidable proposition in Principia mathematica, a statement that, although true, turns out to be neither provable nor refutable for the system, making therefore incomplete any formal system suitable for the arithmetic of integers. Its features and limitation effects are today widespread basics throughout whole scientific thought. This article brings Gödel’s achievement into question by the definition of the refutability predicate as a number-theoretical statement. We develop proof of invalidity of Theorem VI in Gödel’s 1931, the so-called Gödel’s first incompleteness theorem, in two steps: defining refutability within the same recursive status as provability and showing that as a consequence propositions (15) and (16), derived from definition 8.1 in Gödel’s 1931, are false and unacceptable for the system. The achievement of their falsity blocks the derivation of Theorem VI, which turns out to be therefore invalid, together with all the depending theorems. This article opens up thus new perspectives for mathematical research and for the overall scientific reasoning. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=G%C3%B6del%20numbering" title="Gödel numbering">Gödel numbering</a>, <a href="https://publications.waset.org/abstracts/search?q=incompleteness" title=" incompleteness"> incompleteness</a>, <a href="https://publications.waset.org/abstracts/search?q=provability%20predicate" title=" provability predicate"> provability predicate</a>, <a href="https://publications.waset.org/abstracts/search?q=refutability%20predicate" title=" refutability predicate"> refutability predicate</a> </p> <a href="https://publications.waset.org/abstracts/55179/from-the-recursive-definition-of-refutability-to-the-invalidity-of-godels-1931-incompleteness" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55179.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">188</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">418</span> Impact of Welding Distortion on the Design of Fabricated T-Girders Using Finite Element Modeling</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmed%20Hammad"> Ahmed Hammad</a>, <a href="https://publications.waset.org/abstracts/search?q=Yehia%20Abdel-Nasser"> Yehia Abdel-Nasser</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Shamma"> Mohamed Shamma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main configuration of ship construction consists of standard and fabricated stiffening members which are commonly used in shipbuilding such as fabricated T-sections. During the welding process, the non-uniform heating and rapid cooling lead to the inevitable presence of out-of-plane distortion and welding induced residual stresses. Because of these imperfections, the fabricated structural members may not attain their design load to be carried. The removal of these imperfections will require extra man-hours. In the present work, controlling these imperfections has been investigated at both design and fabrication stages. A typical fabricated T-girder is selected to investigate the problem of these imperfections using double-side welding. A numerical simulation based on finite element (FE) modeling has been used to investigate the effect of different parameters of the selected fabricated T-girder such as geometrical properties and welding sequences on the magnitude of welding imperfections. FE results were compared with the results of experimental model of a double-side fillet weld. The present work concludes that: Firstly, in the design stage, the optimum geometry of the fabricated T- girder is determined based on minimum steel weight and out- of- plane distortion. Secondly, in the fabrication stage, the best welding sequence is determined on the basis of minimum welding out- of- plane distortion. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fabricated%20T-girder" title="fabricated T-girder">fabricated T-girder</a>, <a href="https://publications.waset.org/abstracts/search?q=FEM" title=" FEM"> FEM</a>, <a href="https://publications.waset.org/abstracts/search?q=out-of-plane%20distortion" title=" out-of-plane distortion"> out-of-plane distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=section%20modulus" title=" section modulus"> section modulus</a>, <a href="https://publications.waset.org/abstracts/search?q=welding%20residual%20stresses" title=" welding residual stresses"> welding residual stresses</a> </p> <a href="https://publications.waset.org/abstracts/114303/impact-of-welding-distortion-on-the-design-of-fabricated-t-girders-using-finite-element-modeling" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/114303.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">122</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">417</span> Improving Detection of Illegitimate Scores and Assessment in Most Advantageous Tenders</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hao-Hsi%20Tseng">Hao-Hsi Tseng</a>, <a href="https://publications.waset.org/abstracts/search?q=Hsin-Yun%20Lee"> Hsin-Yun Lee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Most Advantageous Tender (MAT) has been criticized for its susceptibility to dictatorial situations and for its processing of same score, same rank issues. This study applies the four criteria from Arrow's Impossibility Theorem to construct a mechanism for revealing illegitimate scores in scoring methods. While commonly be used to improve on problems resulting from extreme scores, ranking methods hide significant defects, adversely affecting selection fairness. To address these shortcomings, this study relies mainly on the overall evaluated score method, using standardized scores plus normal cumulative distribution function conversion to calculate the evaluation of vender preference. This allows for free score evaluations, which reduces the influence of dictatorial behavior and avoiding same score, same rank issues. Large-scale simulations confirm that this method outperforms currently used methods using the Impossibility Theorem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arrow%E2%80%99s%20impossibility%20theorem" title="Arrow’s impossibility theorem">Arrow’s impossibility theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=cumulative%20normal%20distribution%20function" title=" cumulative normal distribution function"> cumulative normal distribution function</a>, <a href="https://publications.waset.org/abstracts/search?q=most%20advantageous%20tender" title=" most advantageous tender"> most advantageous tender</a>, <a href="https://publications.waset.org/abstracts/search?q=scoring%20method" title=" scoring method "> scoring method </a> </p> <a href="https://publications.waset.org/abstracts/28136/improving-detection-of-illegitimate-scores-and-assessment-in-most-advantageous-tenders" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/28136.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">463</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">416</span> Implementation of Multi-Carrier Pulse Width Modulation Techniques in Multilevel Inverter</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Suresh%20Kumar">M. Suresh Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Ramani"> K. Ramani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper proposed the Multi-Carrier Pulse Width Modulation for the minimization of Total Harmonic Distortion in Cascaded H-Bridge Multi-Level Inverter. Multicarrier Pulse Width Modulation method uses Alternate Position of Disposition scheme to determine the appropriate switching angle to Multi-Level Inverter. In this paper simulation results shows that the validation of Multi-Carrier Pulse Width Modulation method does capably eliminate a great number of precise harmonics and minimize the Total Harmonic Distortion value in output voltage waveform. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=alternate%20position" title="alternate position">alternate position</a>, <a href="https://publications.waset.org/abstracts/search?q=fast%20fourier%20analysis" title=" fast fourier analysis"> fast fourier analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-carrier%20pulse%20width%20modulation" title=" multi-carrier pulse width modulation"> multi-carrier pulse width modulation</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-level%20inverter" title=" multi-level inverter"> multi-level inverter</a>, <a href="https://publications.waset.org/abstracts/search?q=total%20harmonic%20distortion" title=" total harmonic distortion"> total harmonic distortion</a> </p> <a href="https://publications.waset.org/abstracts/31826/implementation-of-multi-carrier-pulse-width-modulation-techniques-in-multilevel-inverter" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31826.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">647</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">415</span> Investigation of Distortion and Impact Strength of 304 L Butt Joint Using Different Weld Groove </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Sharma">A. Sharma</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20S.%20Sandhu"> S. S. Sandhu</a>, <a href="https://publications.waset.org/abstracts/search?q=A.Shahi"> A.Shahi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Kumar"> A. Kumar </a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the effects of geometric configurations of butt joints i.e. double V groove, double U groove and UV groove of AISI 304L of thickness 12 mm by using Gas Tungsten Arc Welding (GTAW) are investigated. The magnitude of transverse shrinkage stress and distortion generated during welding under the unrestrained conditions of butt joints is the main objective of the study. The effect of groove design on impact strength and metallurgical properties are also studied. The Finite element analysis for the groove design is done and compared the actual experimentation. The experimental results and the FEM results were compared and reveal a very good correlation for distortion and weld groove design for multipass joint with a standard analogy of 80%. In the case of VV groove design it was found that the transverse stress and cumulative deflection have the lowest value. It was found that the UV groove design had the maximum ultimate and yield tensile strength, VV groove had the highest impact strength. Vicker’s hardness value of all the groove design was measured. Micro structural studies were carried out using conventional microscopic tools which revealed a lot of useful information for correlating the microstructure with mechanical properties. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=weld%20groove%20design" title="weld groove design">weld groove design</a>, <a href="https://publications.waset.org/abstracts/search?q=distortion" title=" distortion"> distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=AISI%20304%20L" title=" AISI 304 L"> AISI 304 L</a>, <a href="https://publications.waset.org/abstracts/search?q=butt%20joint" title=" butt joint"> butt joint</a>, <a href="https://publications.waset.org/abstracts/search?q=FEM" title=" FEM"> FEM</a>, <a href="https://publications.waset.org/abstracts/search?q=GTAW" title=" GTAW"> GTAW</a> </p> <a href="https://publications.waset.org/abstracts/20711/investigation-of-distortion-and-impact-strength-of-304-l-butt-joint-using-different-weld-groove" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20711.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">366</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">414</span> Analysis of Senior Secondary II Students Performance/Approaches Exhibited in Solving Circle Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mukhtari%20Hussaini%20Muhammad">Mukhtari Hussaini Muhammad</a>, <a href="https://publications.waset.org/abstracts/search?q=Abba%20Adamu"> Abba Adamu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper will examine the approaches and solutions that will be offered by Senior Secondary School II Students (Demonstration Secondary School, Azare Bauchi State Northern Nigeria – Hausa/ Fulani predominant area) toward solving exercises related to the circle theorem. The angle that an arc of a circle subtends at the center is twice that which it subtends at any point on the remaining part of the circumference. The Students will be divided in to 2 groups by given them numbers 1, 2; 1, 2; 1, 2, then all 1s formed group I and all 2s formed group II. Group I will be considered as control group in which the traditional method will be applied during instructions. Thus, the researcher will revise the concept of circle, state the theorem, prove the theorem and then solve examples. Group II, experimental group in which the concept of circle will be revised to the students and then the students will be asked to draw different circles, mark arcs, draw angle at the center, angle at the circumference then measure the angles constructed. The students will be asked to explain what they can infer/deduce from the angles measured and lastly, examples will be solved. During the next contact day, both groups will be subjected to solving exercises in the classroom related to the theorem. The angle that an arc of a circle subtends at the center is twice that which it subtends at any point on the remaining part of circumference. The solution to the exercises will be marked, the scores compared/analysed using relevant statistical tool. It is expected that group II will perform better because of the method/ technique followed during instructions is more learner-centered. By exploiting the talents of the individual learners through listening to the views and asking them how they arrived at a solution will really improve learning and understanding. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=circle%20theorem" title="circle theorem">circle theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=control%20group" title=" control group"> control group</a>, <a href="https://publications.waset.org/abstracts/search?q=experimental%20group" title=" experimental group"> experimental group</a>, <a href="https://publications.waset.org/abstracts/search?q=traditional%20method" title=" traditional method "> traditional method </a> </p> <a href="https://publications.waset.org/abstracts/74815/analysis-of-senior-secondary-ii-students-performanceapproaches-exhibited-in-solving-circle-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/74815.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">192</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">413</span> Nadler's Fixed Point Theorem on Partial Metric Spaces and its Application to a Homotopy Result</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hemant%20Kumar%20Pathak">Hemant Kumar Pathak</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In 1994, Matthews (S.G. Matthews, Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applications, in: Ann. New York Acad. Sci., vol. 728, 1994, pp. 183-197) introduced the concept of a partial metric as a part of the study of denotational semantics of data flow networks. He gave a modified version of the Banach contraction principle, more suitable in this context. In fact, (complete) partial metric spaces constitute a suitable framework to model several distinguished examples of the theory of computation and also to model metric spaces via domain theory. In this paper, we introduce the concept of almost partial Hausdorff metric. We prove a fixed point theorem for multi-valued mappings on partial metric space using the concept of almost partial Hausdorff metric and prove an analogous to the well-known Nadler’s fixed point theorem. In the sequel, we derive a homotopy result as an application of our main result. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fixed%20point" title="fixed point">fixed point</a>, <a href="https://publications.waset.org/abstracts/search?q=partial%20metric%20space" title=" partial metric space"> partial metric space</a>, <a href="https://publications.waset.org/abstracts/search?q=homotopy" title=" homotopy"> homotopy</a>, <a href="https://publications.waset.org/abstracts/search?q=physical%20sciences" title=" physical sciences"> physical sciences</a> </p> <a href="https://publications.waset.org/abstracts/5182/nadlers-fixed-point-theorem-on-partial-metric-spaces-and-its-application-to-a-homotopy-result" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5182.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">441</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">412</span> A Study of Evolutional Control Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ti-Jun%20Xiao">Ti-Jun Xiao</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhe%20Xu"> Zhe Xu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Controllability is one of the fundamental issues in control systems. In this paper, we study the controllability of second order evolutional control systems in Hilbert spaces with memory and boundary controls, which model dynamic behaviors of some viscoelastic materials. Transferring the control problem into a moment problem and showing the Riesz property of a family of functions related to Cauchy problems for some integrodifferential equations, we obtain a general boundary controllability theorem for these second order evolutional control systems. This controllability theorem is applicable to various concrete 1D viscoelastic systems and recovers some previous related results. It is worth noting that Riesz sequences can be used for numerical computations of the control functions and the identification of new Riesz sequence is of independent interest for the basis-function theory. Moreover, using the Riesz sequences, we obtain the existence and uniqueness of (weak) solutions to these second order evolutional control systems in Hilbert spaces. Finally, we derive the exact boundary controllability of a viscoelastic beam equation, as an application of our abstract theorem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=evolutional%20control%20system" title="evolutional control system">evolutional control system</a>, <a href="https://publications.waset.org/abstracts/search?q=controllability" title=" controllability"> controllability</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20control" title=" boundary control"> boundary control</a>, <a href="https://publications.waset.org/abstracts/search?q=existence%20and%20uniqueness" title=" existence and uniqueness"> existence and uniqueness</a> </p> <a href="https://publications.waset.org/abstracts/93935/a-study-of-evolutional-control-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/93935.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">222</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">411</span> Finite Element Modelling and Optimization of Post-Machining Distortion for Large Aerospace Monolithic Components</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bin%20Shi">Bin Shi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mouhab%20Meshreki"> Mouhab Meshreki</a>, <a href="https://publications.waset.org/abstracts/search?q=Gr%C3%A9goire%20Bazin"> Grégoire Bazin</a>, <a href="https://publications.waset.org/abstracts/search?q=Helmi%20Attia"> Helmi Attia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Large monolithic components are widely used in the aerospace industry in order to reduce airplane weight. Milling is an important operation in manufacturing of the monolithic parts. More than 90% of the material could be removed in the milling operation to obtain the final shape. This results in low rigidity and post-machining distortion. The post-machining distortion is the deviation of the final shape from the original design after releasing the clamps. It is a major challenge in machining of the monolithic parts, which costs billions of economic losses every year. Three sources are directly related to the part distortion, including initial residual stresses (RS) generated from previous manufacturing processes, machining-induced RS and thermal load generated during machining. A finite element model was developed to simulate a milling process and predicate the post-machining distortion. In this study, a rolled-aluminum plate AA7175 with a thickness of 60 mm was used for the raw block. The initial residual stress distribution in the block was measured using a layer-removal method. A stress-mapping technique was developed to implement the initial stress distribution into the part. It is demonstrated that this technique significantly accelerates the simulation time. Machining-induced residual stresses on the machined surface were measured using MTS3000 hole-drilling strain-gauge system. The measured RS was applied on the machined surface of a plate to predict the distortion. The predicted distortion was compared with experimental results. It is found that the effect of the machining-induced residual stress on the distortion of a thick plate is very limited. The distortion can be ignored if the wall thickness is larger than a certain value. The RS generated from the thermal load during machining is another important factor causing part distortion. Very limited number of research on this topic was reported in literature. A coupled thermo-mechanical FE model was developed to evaluate the thermal effect on the plastic deformation of a plate. A moving heat source with a feed rate was used to simulate the dynamic cutting heat in a milling process. When the heat source passed the part surface, a small layer was removed to simulate the cutting operation. The results show that for different feed rates and plate thicknesses, the plastic deformation/distortion occurs only if the temperature exceeds a critical level. It was found that the initial residual stress has a major contribution to the part distortion. The machining-induced stress has limited influence on the distortion for thin-wall structure when the wall thickness is larger than a certain value. The thermal load can also generate part distortion when the cutting temperature is above a critical level. The developed numerical model was employed to predict the distortion of a frame part with complex structures. The predictions were compared with the experimental measurements, showing both are in good agreement. Through optimization of the position of the part inside the raw plate using the developed numerical models, the part distortion can be significantly reduced by 50%. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=modelling" title="modelling">modelling</a>, <a href="https://publications.waset.org/abstracts/search?q=monolithic%20parts" title=" monolithic parts"> monolithic parts</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=post-machining%20distortion" title=" post-machining distortion"> post-machining distortion</a>, <a href="https://publications.waset.org/abstracts/search?q=residual%20stresses" title=" residual stresses"> residual stresses</a> </p> <a href="https://publications.waset.org/abstracts/183107/finite-element-modelling-and-optimization-of-post-machining-distortion-for-large-aerospace-monolithic-components" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/183107.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">54</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">410</span> [Keynote Talk]: Existence of Random Fixed Point Theorem for Contractive Mappings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=D.%20S.%20Palimkar">D. S. Palimkar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Random fixed point theory has received much attention in recent years, and it is needed for the study of various classes of random equations. The study of random fixed point theorems was initiated by the Prague school of probabilistic in the 1950s. The existence and uniqueness of fixed points for the self-maps of a metric space by altering distances between the points with the use of a control function is an interesting aspect in the classical fixed point theory. In a new category of fixed point problems for a single self-map with the help of a control function that alters the distance between two points in a metric space which they called an altering distance function. In this paper, we prove the results of existence of random common fixed point and its uniqueness for a pair of random mappings under weakly contractive condition for generalizing alter distance function in polish spaces using Random Common Fixed Point Theorem for Generalized Weakly Contractions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Polish%20space" title="Polish space">Polish space</a>, <a href="https://publications.waset.org/abstracts/search?q=random%20common%20fixed%20point%20theorem" title=" random common fixed point theorem"> random common fixed point theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=weakly%20contractive%20mapping" title=" weakly contractive mapping"> weakly contractive mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=altering%20function" title=" altering function"> altering function</a> </p> <a href="https://publications.waset.org/abstracts/79650/keynote-talk-existence-of-random-fixed-point-theorem-for-contractive-mappings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/79650.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">273</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">409</span> Energy Conservation and H-Theorem for the Enskog-Vlasov Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Eugene%20Benilov">Eugene Benilov</a>, <a href="https://publications.waset.org/abstracts/search?q=Mikhail%20Benilov"> Mikhail Benilov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Enskog-Vlasov (EV) equation is a widely used semi-phenomenological model of gas/liquid phase transitions. We show that it does not generally conserve energy, although there exists a restriction on its coefficients for which it does. Furthermore, if an energy-preserving version of the EV equation satisfies an H-theorem as well, it can be used to rigorously derive the so-called Maxwell construction which determines the parameters of liquid-vapor equilibria. Finally, we show that the EV model provides an accurate description of the thermodynamics of noble fluids, and there exists a version simple enough for use in applications. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Enskog%20collision%20integral" title="Enskog collision integral">Enskog collision integral</a>, <a href="https://publications.waset.org/abstracts/search?q=hard%20spheres" title=" hard spheres"> hard spheres</a>, <a href="https://publications.waset.org/abstracts/search?q=kinetic%20equation" title=" kinetic equation"> kinetic equation</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20transition" title=" phase transition"> phase transition</a> </p> <a href="https://publications.waset.org/abstracts/97730/energy-conservation-and-h-theorem-for-the-enskog-vlasov-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/97730.pdf" target="_blank" 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