Title: A Quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials
Abstract: Existence of a weak solution under a smallness assumption of the coecient 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 coecient and a nonlocal and regularized contact pressure. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments. has been made in its modelling and numerical simulations. An early attempt to study frictional contact problems within the framework of variational inequalities was made in (8). The mathematical, mechanical and numerical state of the art can be found in (12). In this paper we investigate a mathematical model for the process of unilateral frictional contact of a nonlinear elastic body with a rigid foundation. We assume that slowly varying time-dependent volume forces and surface tractions act on it, and as a result its mechanical state evolves quasistatically. The contact is modelled with the Signorini condition and the friction is described by a slip-dependent friction and a nonlocal and regularized contact pressure. The model of slip-dependent is considered in geophysics and solid mechanics corresponding to a smooth dependence of the friction coecient
Publication Year: 2006
Publication Date: 2006-11-01
Language: en
Type: article
Indexed In: ['doaj']
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Cited By Count: 3
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