An energy momentum consistent integration scheme using a polyconvexity‐based framework for nonlinear thermo‐elastodynamics

机译：一种能量动量一致的积分方案，其使用基于非线性的非线性热弹性动力学的基于多电容的框架

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Summary >The present contribution provides a new approach to the design of energy momentum consistent integration schemes in the field of nonlinear thermo‐elastodynamics. The method is inspired by the structure of polyconvex energy density functions and benefits from a tensor cross product that greatly simplifies the algebra. Furthermore, a temperature‐based weak form is used, which facilitates the design of a structure‐preserving time‐stepping scheme for coupled thermoelastic problems. This approach is motivated by the general equation for nonequilibrium reversible‐irreversible coupling (GENERIC) framework for open systems. In contrast to complex projection‐based discrete derivatives, a new form of an algorithmic stress formula is proposed. The spatial discretization relies on finite element interpolations for the displacements and the temperature. The superior performance of the proposed formulation is shown within representative quasi‐static and fully transient numerical examples. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”xml：id =“nme5816-abs-0001”> <标题类型=“main” >摘要</ title> >本贡献为非线性热弹性动力学领域的能量动量一致的集成方案提供了一种新方法。该方法的灵感来自多透视能量密度函数的结构和来自张量横向产品的益处，这极大地简化了代数。此外，使用基于温度的弱形形式，这有利于设计用于耦合热弹性问题的结构保存时间步进方案。这种方法是由非醌可逆 - 不可逆耦合（通用）框架的一般方程用于开放系统。与复杂的基于投影的离散衍生物相反，提出了一种新形式的算法应力公式。空间离散化依赖于位移和温度的有限元插值。所提出的制剂的优异性能显示在代表性的准静态和完全瞬态的数值例中。</ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-20801/'>《International Journal for Numerical Methods in Engineering》</a> <b style="margin: 0 2px;">|</b><span>2018年第5期</span><b style="margin: 0 2px;">|</b><span>共29页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Franke M.&option=202" target="_blank" rel="nofollow">Franke M.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Janz A.&option=202" target="_blank" rel="nofollow">Janz A.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Schiebl M.&option=202" target="_blank" rel="nofollow">Schiebl M.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Betsch P.&option=202" target="_blank" rel="nofollow">Betsch P.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Institute of MechanicsKarlsruhe Institute of TechnologyKarlsruhe Germany;</p> <p>Institute of MechanicsKarlsruhe Institute of TechnologyKarlsruhe Germany;</p> <p>Institute of MechanicsKarlsruhe Institute of TechnologyKarlsruhe Germany;</p> <p>Institute of MechanicsKarlsruhe Institute of TechnologyKarlsruhe Germany;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/6940.html" title="工程数学">工程数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=finite element method&option=203" rel="nofollow">finite element method;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=nonlinear thermo‐elastodynamics&option=203" rel="nofollow">nonlinear thermo‐elastodynamics;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=polyconvexity‐based framework&option=203" rel="nofollow">polyconvexity‐based framework;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=structure‐preserving discretization&option=203" rel="nofollow">structure‐preserving discretization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=tensor cross product&option=203" rel="nofollow">tensor cross product;</a> </p> <div class="translation"> 机译：有限元方法;非线性热弹性动力学;基于聚变性的框架;结构保留的离散化;张量十字产品; </div> </li> <li> <span class="lefttit">入库时间</span> <span>2022-08-20 02:01:44</span> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704022970031.html">An energy momentum consistent integration scheme using a polyconvexity‐based framework for nonlinear thermo‐elastodynamics</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Franke M.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Franke M.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Janz A.&option=202" target="_blank" rel="nofollow" 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