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Quasi‐static contact problem with finitely many degrees of freedom and dry friction
Author(s) -
Schmid F.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200800119
Subject(s) - coulomb friction , dry friction , discontinuity (linguistics) , degrees of freedom (physics and chemistry) , nonlinear system , unilateral contact , coulomb , anisotropy , friction coefficient , obstacle , static friction , mathematics , classical mechanics , mechanics , mathematical analysis , physics , materials science , law , engineering , structural engineering , finite element method , composite material , quantum mechanics , political science , electron
A quasi‐static contact problem is considered for a nonlinear elastic system with finitely many degrees of freedom. The friction law of Coulomb is used to model friction and the friction coefficient may be anisotropic and may vary along the surface of the rigid obstacle. Existence is established following a time‐incremental minimization problem. Friction is artificially decreased to resolve the discontinuity arising from making and losing contact.