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

Date

2006-11-16

Authors

Touzaline, Arezki

Journal Title

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Publisher

Texas State University-San Marcos, Department of Mathematics

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.

Description

Keywords

Existence, Quasistatic, Nonlinear elasticity, Slip-dependent friction, Incremental, Variational inequality

Citation

Touzaline, A. (2006). A Quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials. <i>Electronic Journal of Differential Equations, 2006</i>(144), pp. 1-14.

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Attribution 4.0 International

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