Approximation and numerical realization of 3D contact problems with Coulomb friction and a solution‐dependent coefficient of friction | Zendy

Ligurský T. | Zendy; Haslinger J. | Zendy; Kučera R. | Zendy

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Approximation and numerical realization of 3D contact problems with Coulomb friction and a solution‐dependent coefficient of friction

Author(s) -

Ligurský T.,

Haslinger J.,

Kučera R.

Publication year - 2010

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.2806

Subject(s) - lipschitz continuity , coulomb friction , uniqueness , bounded function , coulomb , realization (probability) , friction coefficient , mathematics , modulus , mathematical analysis , function (biology) , physics , materials science , geometry , nonlinear system , statistics , quantum mechanics , composite material , electron , evolutionary biology , biology

This paper analyzes 3D discrete contact problems with Coulomb friction and a coefficient of friction ℱ depending on the solution. The formulation of this problem is based on a fixed‐point approach. Existence of at least one discrete solution is guaranteed for any continuous, non‐negative and bounded function ℱ. The uniqueness result is established for ℱ small enough and Lipschitz continuous with a sufficiently small modulus of Lipschitz continuity. Results of several numerical experiments are shown. Copyright © 2009 John Wiley & Sons, Ltd.

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