Effects of time integration schemes on discontinuous deformation simulations using the numerical manifold method

机译：时间整合方案对使用数值歧管方法对不连续变形模拟的影响

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Summary >Numerical stability by using certain time integration scheme is a critical issue for accurate simulation of discontinuous deformations of solids. To investigate the effects of the time integration schemes on the numerical stability of the numerical manifold method, the implicit time integration schemes, ie, the Newmark, the HHT‐α, and the WBZ‐α methods, and the explicit time integration algorithms, ie, the central difference, the Zhai's, and Chung‐Lee methods, are implemented. Their performance is examined by conducting transient response analysis of an elastic strip subjected to constant loading, impact analysis of an elastic rod with an initial velocity, and excavation analysis of jointed rock masses, respectively. Parametric studies using different time steps are conducted for different time integration algorithms, and the convergence efficiency of the open‐close iterations for the contact problems is also investigated. It is proved that the Hilber‐Hughes‐Taylor‐α (HHT‐α), Wood‐Bossak‐Zienkiewicz‐α (WBZ‐α), Zhai's, and Chung‐Lee methods are more attractive in solving discontinuous deformation problems involving nonlinear contacts. It is also found that the examined explicit algorithms showed higher computational efficiency compared to those implicit algorithms within acceptable computational accuracy. </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”> <title type =“main”>摘要</ title> >使用某些时间集成方案的数值稳定性是精确模拟固体不连续变形的关键问题。为了研究时间集成方案对数值歧管方法的数值稳定性的影响，隐式时间集成方案，即纽马克，HHT-α和WBZ-α方法，以及显式时间集成算法，即，中央区别区别，Zhai的和Chung-Lee方法是实施的。通过对具有恒定负载的弹性条带进行瞬态响应分析来检查它们的性能，分别具有初始速度的弹性杆的恒定负荷，冲击分析，以及关节岩体的开挖分析。使用不同时间步骤的参数研究是针对不同时间集成算法进行的，并且还研究了接触问题的开闭迭代的收敛效率。事实证明，Hilber-hughes-taylor-α（HHT-α），木质Bossak-Zienkiewicz-α（WBZ-α），Zhai的和Chung-Lee方法在解决涉及非线性触点的不连续变形问题方面更具吸引力。还发现，与可接受的计算精度的隐式算法相比，检查的显式算法显示了更高的计算效率。</ 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>2017年第11期</span><b style="margin: 0 2px;">|</b><span>共22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=Qu Xiaolei&option=202" target="_blank" rel="nofollow">Qu Xiaolei;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Qi Chengzhi&option=202" target="_blank" rel="nofollow">Qi Chengzhi;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fu Guoyang&option=202" target="_blank" rel="nofollow">Fu Guoyang;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Li Xiaozhao&option=202" target="_blank" rel="nofollow">Li Xiaozhao;</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>Energy Conservation and Emission Reduction Collaborative Innovation CenterBeijing University of Civil Engineering and ArchitectureBeijing 100044 China;</p> <p>Energy Conservation and Emission Reduction Collaborative Innovation CenterBeijing University of Civil Engineering and ArchitectureBeijing 100044 China;</p> <p>School of EngineeringRMIT UniversityMelbourne Victoria 3000 Australia;</p> <p>Energy Conservation and Emission Reduction Collaborative Innovation CenterBeijing University of Civil Engineering and ArchitectureBeijing 100044 China;</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=computational efficiency&option=203" rel="nofollow">computational efficiency;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=discontinuous deformation&option=203" rel="nofollow">discontinuous deformation;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=numerical manifold method&option=203" rel="nofollow">numerical manifold method;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=numerical stability&option=203" rel="nofollow">numerical stability;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=open‐close iteration&option=203" rel="nofollow">open‐close iteration;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=time integration&option=203" rel="nofollow">time integration;</a> </p> <div class="translation"> 机译：计算效率;不连续变形;数值歧管方法;数值稳定性;开放式迭代;时间集成; </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" 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