Generalized radial‐return mapping algorithm for anisotropic von Mises plasticity framed in material eigenspace

机译：关于各向异性von MISS塑性的广义径向返回映射算法在材料成分中塑性

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Summary > A computationally efficient integration algorithm for anisotropic plasticity is proposed, which is identified as a generalization of the radial‐return mapping algorithm to anisotropy. The algorithm is based upon formulation within the eigenspace of a material anisotropy tensor associated with anisotropic quadratic von Mises (J <sub>2</sub> ) plasticity (also called Hill plasticity), for which it is shown to ensure that the flow rule remains associative, ie, the normality condition is satisfied. Extension of the algorithm to include anisotropic elasticity (anisotropic elastoplasticity) is further provided, made possible by the identification of a certain fourth‐order material tensor dependent on both the elastic and plastic anisotropy. The derivation of the fully elastoplastically anisotropic algorithm involves further complexity, but the resulting algorithm is shown to closely resemble the purely plastically anisotropic one once the appropriate eigenspace is identified. The proposed generalized radial‐return algorithm is compared to a classical closest‐point projection algorithm, for which it is shown to provide considerable advantage in computational cost. The efficiency, accuracy, and robustness of the algorithm are demonstrated through various illustrative test cases and in the finite element simulation of Taylor impact tests on tantalum. </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 =“nme5921-abs-abs-0001”> <标题类型=“main” >概述</标题> >提出了一种计算的各向异性可塑性集成算法，其被识别为径向返回映射算法到各向异性的概括。该算法基于与各向异性二次VONMES相关的材料各向异性张量的成分（J <SUB> 2 </ sub>）塑性（也称为HILL塑性）的塑性分级（也称为HILL可塑性）内的成分。显示，以确保流量规则保持联想，即满足正常状况。进一步提供算法的延伸，包括各向异性弹性（各向异性弹性塑料），通过鉴定依赖于弹性和塑性各向异性的某一四阶材料张量来实现。完全弹性的各向异性算法的衍生涉及进一步复杂性，但是，一旦鉴定了合适的尖锐空间，所得到的算法将被认为是与纯粹的塑性各向异性相似。将所提出的广义径向返回算法与经典最近点投影算法进行比较，其示出了在计算成本中提供相当大的优势。通过各种说明性测试用例和钽钽抗冲击试验的有限元模拟来证明该算法的效率，准确性和鲁棒性。 </ p> </ abstract> </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3期</span><b style="margin: 0 2px;">|</b><span>共21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=Versino Daniele&option=202" target="_blank" rel="nofollow">Versino Daniele;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bennett Kane C.&option=202" target="_blank" rel="nofollow">Bennett Kane C.;</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>Theoretical Division T‐3Los Alamos National LaboratoryLos Alamos New Mexico;</p> <p>Theoretical Division T‐3Los Alamos National LaboratoryLos Alamos New Mexico;</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=algorithm efficiency&option=203" rel="nofollow">algorithm efficiency;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=anisotropy&option=203" rel="nofollow">anisotropy;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=elastoplasticity&option=203" rel="nofollow">elastoplasticity;</a> <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=return mapping&option=203" rel="nofollow">return mapping;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=von Mises&option=203" rel="nofollow">von Mises;</a> </p> <div class="translation"> 机译：算法效率;各向异性;弹性塑性;有限元方法;返回映射;von mises; </div> </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/0704022970189.html">Generalized radial‐return mapping algorithm for anisotropic von Mises plasticity framed in material eigenspace</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Versino Daniele&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Versino Daniele,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bennett Kane C.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Bennett Kane C. </a> <a href="/journal-foreign-20801/" target="_blank" rel="nofollow" class="tuijian_authcolor">International Journal for Numerical Methods in Engineering .</a> <span>2018</span><span>,第3期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：关于各向异性von MISS塑性的广义径向返回映射算法在材料成分中塑性</span> </p> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/academic-journal-foreign_computers-and-geotechnics_thesis/0204112171669.html">Return mapping algorithm for an enhanced generalized plasticity constitutive model of partially saturated soils</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=H.W. 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