Semi-smooth Newton methods for mixed FEM discretizations of higher-order for frictional, elasto-plastic two-body contact problems

In this article a semi-smooth Newton method for frictional two-body contact problems and a solution algorithm for the resulting sequence of linear systems are presented. It is based on a mixed variational formulation of the problem and a discretization by finite elements of higher-order. General fri...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2016-09, Vol.309, p.131-151
Main Authors: Blum, Heribert, Frohne, Hannah, Frohne, Jörg, Rademacher, Andreas
Format: Article
Language:English
Subjects:
Complementarity function
Engineering Sciences
Frictional contact
Hardening
Higher-order FEM
Plasticity
Semi-smooth Newton method
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Summary:In this article a semi-smooth Newton method for frictional two-body contact problems and a solution algorithm for the resulting sequence of linear systems are presented. It is based on a mixed variational formulation of the problem and a discretization by finite elements of higher-order. General friction laws depending on the normal stresses and elasto-plastic material behavior with linear isotropic hardening are considered. Numerical results show the efficiency of the presented algorithm.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2016.06.004