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

• Main Author: Arezki Touzaline
• Format: Article
• Language: English
• Published: Texas State University 2006-11-01
• Series: Electronic Journal of Differential Equations
• Subjects: Existence; quasistatic; nonlinear elastic; slip-dependent friction; incremental; variational inequality.
• Online Access: http://ejde.math.txstate.edu/Volumes/2006/144/abstr.thml

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.