WIAS Preprint No. 1336, (2008)

Quasi-static contact problem with finitely many degrees of freedom and dry friction


  • Schmid, Florian

2010 Mathematics Subject Classification

  • 74M10 74M15 74H20 74B20


  • Coulomb friction, varying friction coefficient, unilateral contact, quasi-static, energetic formulation, nonlinear elasticity, existence, finite-dimensional, time-incremental approximation


A quasi-static contact problem is considered for a non-linear elastic system with finitely many degrees of freedom. Coulomb's law 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.

Appeared in

  • ZAMM, Volume 89, Issue 5, 2009, pp. 383-398

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