A time integration algorithm for a 3D constitutive model for SMAs including permanent inelasticity and degradation effects

Peigney M.; Scalet G.; Auricchio F.

摘要

Summary >Components based on shape‐memory alloys are often subjected to several loading cycles that result in substantial alteration of material behavior. In such a framework, accurate models, as well as robust and efficient numerical approaches, become essential to allow for the simulation of complex devices. The present paper focuses on the numerical simulation of quasi‐static problems involving shape‐memory alloy structures or components subjected to multiple loading‐unloading cycles. A novel state‐update procedure for a three‐dimensional phenomenological model able to describe the saturation of permanent inelasticity, including degradation effects, is proposed here. The algorithm, being of the predictor‐corrector type and relying on an incremental energy minimization approach, is based on elastic checks, closed‐form solutions of polynomial equations, and nonlinear scalar equations solved through a combination of Newton‐Raphson and bisection methods. This allows for an easy implementation of model equations and to avoid the use of regularization parameters for the treatment of nonsmooth functions. Numerical results assess the good performances of the proposed approach in predicting both pseudoelastic and shape‐memory material behavior under cyclic loading as well as algorithm robustness. </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 =“nme5835-abs-abs-0001”> <标题类型=“main” >摘要</标题> >基于形状记忆合金的组件通常经受几种加载循环，导致材料行为的大量改变。在这种框架中，准确的模型以及稳健和有效的数字方法，对于允许模拟复杂设备，这成为必不可少的模型。本文侧重于涉及经受多个装载卸载循环的形状记忆合金结构或组件的准静态问题的数值模拟。在此提出了一种能够描述永久性间质的饱和度的三维现象模型的新型状态更新程序，包括降解效应。该算法是预测器校正器类型和依赖于增量能量最小化方法，基于弹性检查，多项式方程的闭合性溶液和通过牛顿 - 拉文和二分方法的组合解决的非线性标量程。这允许易于实现模型方程，并避免使用正则化参数来处理非光驱功能。数值结果评估所提出的方法的良好性能在循环加载下预测伪弹性和形状记忆材料行为以及算法鲁棒性。</ 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9期</span><b style="margin: 0 2px;">|</b><span>共30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=Peigney M.&option=202" target="_blank" rel="nofollow">Peigney M.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Scalet G.&option=202" target="_blank" rel="nofollow">Scalet G.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Auricchio F.&option=202" target="_blank" rel="nofollow">Auricchio F.;</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>Laboratoire NavierUMR 8205 Ecole des Ponts IFSTTAR CNRS UPEChamps‐sur‐Marne France;</p> <p>Department of Civil Engineering and ArchitectureUniversity of PaviaItaly;</p> <p>Department of Civil Engineering and ArchitectureUniversity of PaviaItaly;</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=incremental energy minimization&option=203" rel="nofollow">incremental energy minimization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=permanent inelasticity&option=203" rel="nofollow">permanent inelasticity;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=shape‐memory alloys&option=203" rel="nofollow">shape‐memory alloys;</a> </p> <div class="translation"> 机译：增量能量最小化;永久性非弹性;形状记忆合金; 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of 3D-measuring object</a> <b>[P]</b> . <span> 外国专利：  DE102005037837A1 </span> <span> . 2007-02-15</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：用于测量3d测量对象的测量计划的生产方法，涉及使用遗传算法提供的测量计划，其中根据有限元模型从3d测量对象的3d粗糙数据记录中产生 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130416635143.html">REAL TIME 3D SIMULATOR USING MULTI-SENSOR SCAN INCLUDING X-RAY FOR THE MODELING OF SKELETON, SKIN AND MUSCLE REFERENCE MODEL</a> <b>[P]</b> . <span> 外国专利：  KR101456162B1 </span> <span> . 2014-11-03</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：使用包含X射线的多传感器扫描的实时3D仿真器，用于骨骼，皮肤和肌肉参考模型的建模 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130401290401.html">RISK RECOGNITION Algorithms Using Data Integration in Genome Models (PARADIGM)</a> <b>[P]</b> . <span> 外国专利：  DK2564340T3 </span> <span> . 2020-02-10</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：基因组模型中使用数据集成的风险识别算法（PARADIGM） </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704022970097','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> 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