We consider a mathematical model describing the bilateral contact between a deformable body and a foundation. We use a nonlinear elastic constitutive law. The contact takes into account the effects of friction, which are modelled with the regularized friction law. We derive a variational formulation of the problem and establish the existence of a weak solution under a smallness assumption of the friction coefficient. The proof is based on arguments of compactness, lower semicontinuity and time discretization.
Submitted December 26, 2005. Published May 1, 2006.
Math Subject Classifications: 35J85, 49J40, 47J20, 58E35.
Key Words: Nonlinear elasticity; bilateral contact; friction; variational inequality; weak solution.
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| Arezki Touzaline |
Faculté de Mathématiques, USTHB
BP 32 EL ALIA, Bab-Ezzouar, 16111, Algérie
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