Investigation of assumptions and approximations in the virtual fields method for a viscoplastic material model

Jones Elizabeth M. C.; Karlson Kyle N.; Reu Phillip L.

摘要

Abstract >The Virtual Fields Method (VFM) is an inverse technique used for parameter estimation and calibration of constitutive models. Many assumptions and approximations—such as plane stress, incompressible plasticity, and spatial and temporal derivative calculations—are required to use VFM with full‐field deformation data, for example, from Digital Image Correlation (DIC). This work presents a comprehensive discussion of the effects of these assumptions and approximations on parameters identified by VFM for a viscoplastic material model for 304L stainless steel. We generated synthetic data from a Finite‐Element Analysis (FEA) in order to have a reference solution with a known material model and known model parameters, and we investigated four cases in which successively more assumptions and approximations were included in the data. We found that VFM is tolerant to small deviations from the plane stress condition in a small region of the sample, and that the incompressible plasticity assumption can be used to estimate thickness changes with little error. A local polynomial fit to the displacement data was successfully employed to compute the spatial displacement gradients. The choice of temporal derivative approximation (i.e., backwards difference versus central difference) was found to have a significant influence on the computed rate of deformation and on the VFM results for the rate‐dependent model used in this work. Finally, the noise introduced into the displacement data from a stereo‐DIC simulator was found to have negligible influence on the VFM results. Evaluating the effects of assumptions and approximations using synthetic data is a critical first step for verifying and validating VFM for specific applications. The results of this work provide the foundation for confidently using VFM for experimental data. </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 Type =“main”XML：Lang =“en”XML：ID =“str12309-abs-abs-0001”> <标题类型=“main”>抽象</ title> >虚拟字段方法（VFM）是用于参数估计和本构模型校准的逆技术。许多假设和近似 - 例如平面应力，不可压缩的可塑性和空间和时间衍生物计算 - 是需要使用VFM与全场变形数据一起使用，例如，从数字图像相关（DIC）。本工作介绍了这些假设和近似对由VFM识别的参数的效果的综合讨论，用于304L不锈钢的粘液材料模型。我们从有限元分析（FEA）产生了合成数据，以便具有具有已知材料模型和已知模型参数的参考解决方案，并且我们研究了四种情况，其中包括在数据中包括更多的假设和近似。我们发现VFM耐受与样品的小区域中的平面应力条件的小偏差，并且不可压缩的可塑性假设可用于估计几乎误差的厚度变化。成功地用于计算空间位移梯度的局部多项式拟合。发现时间导数近似（即，向后差异与中心差异）对计算的变形速率和VFM的速率依赖性模型进行了重大影响，对本工作中使用的速率依赖性模型进行了显着影响。最后，发现从立体声模拟器引入位移数据中的噪声对VFM结果具有可忽略不计的影响。使用合成数据评估假设和近似的影响是用于验证和验证特定应用程序的VFM的关键第一步。这项工作的结果为实验数据的VFM自信地提供了基础。</ 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-28616/'>《Strain》</a> <b style="margin: 0 2px;">|</b><span>2019年第4期</span><b style="margin: 0 2px;">|</b><span>共1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=Jones Elizabeth M. C.&option=202" target="_blank" rel="nofollow">Jones Elizabeth M. C.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Karlson Kyle N.&option=202" target="_blank" rel="nofollow">Karlson Kyle N.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Reu Phillip L.&option=202" target="_blank" rel="nofollow">Reu Phillip L.;</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>Diagnostic Science and EngineeringSandia National LaboratoriesAlbuquerque NM 87123 USA;</p> <p>Multi‐Physics Modeling and SimulationSandia National LaboratoriesLivermore CA 01512 USA;</p> <p>Diagnostic Science and EngineeringSandia National LaboratoriesAlbuquerque NM 87123 USA;</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/1674.html" title="工程基础科学">工程基础科学;</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=Bammann‐Chiesa‐Johnson (BCJ) model&option=203" rel="nofollow">Bammann‐Chiesa‐Johnson (BCJ) model;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=digital image correlation (DIC)&option=203" rel="nofollow">digital image correlation (DIC);</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=material characterization&option=203" rel="nofollow">material characterization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=model calibration&option=203" rel="nofollow">model calibration;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=viscoplasticity&option=203" rel="nofollow">viscoplasticity;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=virtual fields method (VFM)&option=203" rel="nofollow">virtual fields method (VFM);</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=304L stainless steel&option=203" rel="nofollow">304L stainless steel;</a> </p> <div class="translation"> 机译：Bammann-Chiesa-Johnson（BCJ）模型;数字图像相关（DIC）;材料表征;模型校准;粘塑料;虚拟字段方法（VFM）;304L不锈钢; </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/0704024323123.html">Investigation of assumptions and approximations in the virtual fields method for a viscoplastic material model</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Jones Elizabeth M. 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