A comparison of computational methods for large deformation contact problems of flexible bodies

A comparison of computational methods for large deformation contact problems of flexible bodies
复制标题

柔性体大变形接触问题计算方法比较

DOI:
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发表时间:
2006
期刊:
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通讯作者:
P. Betsch
P. Betsch
中科院分区:
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文献类型:
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作者:
C. Hesch;P. Betsch

文献摘要

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在本工作中,我们比较了大变形接触问题的两种方法。一方面研究了常用的节点-段(NTS)方法,另一方面考虑了新出现的求解接触问题的迫击法。这两种方法都依赖于柔性体的非线性有限元离散。除了静态接触问题外,还考虑了动态问题。无论是NTS法还是迫击法,接触约束都是通过拉格朗日乘子来实现的。给出了几个数值算例,比较了两种方法的优劣。
In the present work we compare two methods for large deformation contact problems. On the one hand the commonly applied node‐to‐segment (NTS) method is investigated, on the other hand the newly emerging mortar method for contact problems is considered. Both approaches rely on a nonlinear finite element discretization of flexible bodies. In addition to static contact problems dynamic problems are considered as well. For both NTS and mortar methods the contact constraints are enforced by means of Lagrange multipliers. Several numerical examples are presented to compare the two alternative approaches.