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2009•ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikRequires access

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

F. Schmid

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Abstract

Abstract 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.

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Abstract 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.

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Available abstract

Abstract 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.

Key concepts: Coulomb friction, Dry friction, Discontinuity (linguistics), Degrees of freedom (physics and chemistry), Nonlinear system, Unilateral contact, Coulomb, Anisotropy

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