Effective numerical methods for elasto-plastic contact problems with friction |
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Authors: | Wang Xucheng Chang Liangming Cen Zhangzhi |
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Institution: | (1) Department of Engineering Mechanics, Tsinghua University, Beijing, China |
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Abstract: | Several effective numerical methods for solving the elasto-plastic contact problems with friction are presented. First, a
direct substitution method is employed to impose the contact constraint conditions on condensed finite element equations,
thus resulting in a reduction by half in the dimension of final governing equations. Second, an algorithm composed of contact
condition probes and elasto-plastic iterations is utilized to solve the governing equation, which distinguishes two kinds
of nonlinearities, and makes the solution unique. In addition, Positive-Negative Sequence Modification Method is used to condense
the finite element equations of each substructure and an analytical integration is introduced to determine the elasto-plastic
status after each time step or each iteration, hence the computational efficiency is enhanced to a great extent. Finally,
several test and practical examples are presented showing the validity and versatility of these methods and algorithms.
The Project Supported by National Natural Science Foundation of China. |
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Keywords: | elasto-plasticity contact problem finite element method |
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