Qualitative analysis of solutions to discrete static contact problems with Coulomb friction

We analyze properties of solutions to discrete contact problems with Coulomb friction which are parametrized by the coefficient of friction F . Using a generalized variant of the implicit-function theorem we establish conditions under which there exists a local Lipschitz continuous branch of solutio...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2012-01, Vol.205, p.149-161
Main Authors: Haslinger, J., Janovský, V., Ligurský, T.
Format: Article
Language:English
Subjects:
Algorithms
Coefficient of friction
Contact
Contact problem
Coulomb friction
Local Lipschitz continuous branches of solutions
Mathematical models
Mathematics
Mechanics
Mixed finite element formulation
Numerical Analysis
Physics
Piecewise smooth continuation methods
Qualitative analysis
Solid mechanics
Theorems
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Summary:We analyze properties of solutions to discrete contact problems with Coulomb friction which are parametrized by the coefficient of friction F . Using a generalized variant of the implicit-function theorem we establish conditions under which there exists a local Lipschitz continuous branch of solutions around a reference point. Finally, a piecewise smooth continuation algorithm which allows to follow such branches of solutions is proposed.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2010.09.010