Modeling and Numerical Simulation of a Unilateral Contact Problem with Slip-dependent Friction

We construct a mathematical model which describes the contact between an elastic body and an obstacle, the so-called foundation. The contact is frictional and is modelled with normal compliance and unilateral constraint, associated to a slip- dependent version of Coulomb’s law of dry friction. We present a detailed description Of the model, then we provide numerical simulations in the study of a two-dimensional Example. Our aim is to underline the influence of the parameters involved in the boundary conditions, which could give rise to different status of the material points c>n the contact surface.