Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials

Abstract

This paper shows the existence of a solution of the quasi-static unilateral contact problem with nonlocal friction law for nonlinear elastic materials. We set up a variational incremental problem which admits a solution, when the friction coefficient is small enough, and then by passing to the limit with respect to time we obtain a solution.

Keywords

• Nonlinear elasticity
• nonlocal friction
• incremental
• variational inequality
• monotone