Electron. J. Diff. Eqns., Vol. 2006(2006), No. 144, pp. 1-14.

A Quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials

Arezki Touzaline

Abstract:
Existence of a weak solution under a smallness assumption of the coefficient of friction for the problem of quasistatic frictional contact between a nonlinear elastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip dependent friction coefficient and a nonlocal and regularized contact pressure. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments.

Submitted May 5, 2006. Published November 16, 2006.
Math Subject Classifications: 35J85, 49J40, 47J20, 74M15.
Key Words: Existence; quasistatic; nonlinear elastic; slip-dependent friction; incremental; variational inequality.

A corrigendum was posted on February 8, 2007. Some misprints are corrected. Please see the last page of this manuscript.

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Arezki Touzaline
Faculté de Mathématiques, USTHB
BP 32 El Alia, Bab-Ezzouar, 16111, Algérie
email: atouzaline@yahoo.fr

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