A return mapping algorithm for elastoplastic and ductile damage constitutive equations using the subloading surface method

Fincato R.; Tsutsumi S.

摘要

Abstract >In this paper is presented a return mapping algorithm for an elastoplastic/damage model that couples the constitutive equations of an unconventional plasticity model with the phenomenological description of ductile damage in the continuum damage mechanics framework. This approach combines the advantages of describing the mechanical property degradation by using the Lemaitre model with the realistic accumulation of plastic deformation in cyclic mobility problems from the subloading surface model. Most of the damage models for ductile failure focus on monotonic loading conditions, whereas the present model aims to extend the investigation to cyclic loading and low‐cycle fatigue problems. A cutting‐plane algorithm is adopted to describe the material behavior that considers both isotropic and kinematic hardening laws. Two simple numerical studies show that the elastoplastic and damage model is implemented correctly, displaying a quadratic rate of convergence for local equilibria and precise solutions, even for large‐prescribed strain increments. </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”> <title type =“main”>抽象</ title> >介绍了一种返回映射算法，用于弹塑性/损伤模型，其与连续损伤力学框架中延展性损伤的现象学描述耦合着一种非常规塑性模型的本构体学等方程。这种方法结合了通过使用Lemaitre模型描述机械性质劣化的优点，从而利用旋转表面模型中的循环移动性问题的塑性变形逼真的积累。大多数损伤模型用于韧性故障的重点在单调负载条件下，而现在模型旨在延长对循环载荷和低循环疲劳问题的调查。采用平面算法来描述考虑各向同性和运动型硬化法的材料行为。两个简单的数值研究表明，即使对于大规定的应变增量，弹性塑料和损坏模型的实施方式是正确的，表明局部均衡和精确解决方案的二次收敛速率。</ 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11期</span><b style="margin: 0 2px;">|</b><span>共26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=Fincato R.&option=202" target="_blank" rel="nofollow">Fincato R.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Tsutsumi S.&option=202" target="_blank" rel="nofollow">Tsutsumi S.;</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>Joining and Welding Research InstituteOsaka University11‐1 Mihogaoka Ibaraki Osaka 567‐0047 Japan;</p> <p>Joining and Welding Research InstituteOsaka University11‐1 Mihogaoka Ibaraki Osaka 567‐0047 Japan;</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=ductile damage&option=203" rel="nofollow">ductile damage;</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=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=subloading surface model&option=203" rel="nofollow">subloading surface model;</a> </p> <div class="translation"> 机译：韧性损伤;弹塑性;返回映射;卸载表面模型; </div> </li> </ul> </div> </div> <div class="literature cardcommon" id="literaturereference" style="display:none"> <div class="similarity "> <h3 class="all_title" id="enpatent111">引文网络</h3> <div class="referencetab clearfix"> <ul id="referencedaohang"> <li dataid="referenceul">参考文献</li> <li dataid="citationul">引证文献</li> <li dataid="commonreferenceul">共引文献</li> <li dataid="commoncitationul">同被引文献</li> <li dataid="tworeferenceul">二级参考文献</li> <li dataid="twocitationul">二级引证文献</li> </ul> </div> <div class="reference_details" id="referenceList"> <ul id="referenceul"></ul> <ul id="citationul"></ul> <ul id="commonreferenceul"></ul> <ul id="commoncitationul"></ul> <ul id="tworeferenceul"></ul> <ul id="twocitationul"></ul> </div> </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/0704022969916.html">A return mapping algorithm for elastoplastic and ductile damage constitutive equations using the subloading surface method</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fincato R.&option=202" target="_blank" rel="nofollow" class="tuijian_auth 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