Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 58, pp. 1-9.

Title: A quasistatic bilateral contact problem with friction for 
       nonlinear elastic materials
       
Author: Arezki Touzaline (Faculte de Math., USTHB, Algerie)

Abstract: 
   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.