Qualitative analysis of 3D elastostatic contact problems with orthotropic Coulomb friction and solution-dependent coefficients of friction

Authors:
Jaroslav Haslinger;Radek Kučera;Tomáš Ligurský
Affiliations:
Department of Numerical Mathematics, Charles University, Prague, Sokolovská 83, 18675 Prague 8, Czech Republic;Department of Mathematics and Descriptive Geometry, VŠB-Technical University of Ostrava, 17. Listopadu 15, 70833 Ostrava-Poruba, Czech Republic;Department of Numerical Mathematics, Charles University, Prague, Sokolovská 83, 18675 Prague 8, Czech Republic
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

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Abstract

This paper analyzes a discrete form of 3D contact problems with local orthotropic Coulomb friction and coefficients of friction which may depend on the solution itself. The analysis is based on the fixed-point reformulation of the original problem. Conditions guaranteeing the existence and uniqueness of discrete solutions are established. Finally, numerical results of a model example are presented.