A quasistatic unilateral contact problem with friction for nonlinear elastic materials

Abstract

The aim of this paper is to prove the existence of a solution to the quasistatic unilateral contact problem with a modified version of Coulomb's law of dry friction for nonlinear elastic materials. We derive a variational incremental problem which admits a solution if the friction coefficient is sufficiently small and then by passing to the limit with respect to time we obtain the existence of a solution.

Key words:

• nonlinear elasticity
• quasistatic frictional process
• incremental problems
• variational inequality