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Complementarity methods for multibody friction contact problems in finite deformations
Author(s) -
Chabrand Patrick,
Chertier Olivier,
Dubois Frédéric
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.170
Subject(s) - complementarity (molecular biology) , discretization , linear complementarity problem , unilateral contact , finite element method , complementarity theory , contact force , structural engineering , classical mechanics , mathematics , computer science , engineering , mathematical analysis , physics , nonlinear system , genetics , quantum mechanics , biology
This paper deals with the frictional contact occurring between deformable elastoplastic bodies subjected to large displacements and finite deformations. Starting from a standard slave/master formulation we have developed a symmetrical formulation with which the unilateral contact conditions and the friction law are satisfied for each body. From the continuum equations, the discretized frictional contact problem is set as a complementarity problem and solved using Lemke's mathematical programming method. The efficiency of the method is illustrated in the case of several examples. Copyright © 2001 John Wiley & Sons, Ltd.