Contact problems with nonmonotone friction: discretization and numerical realization

The paper deals with the formulation, approximation and numerical realization of a constrained hemivariational inequality describing the behavior of two elastic bodies in mutual contact, taking into account a nonmonotone friction law on a contact surface. The original hemivariational inequality is transformed into a problem of finding substationary points of a nonconvex, locally Lipschitz continuous function representing the discrete total potential energy functional. The resulting discrete problem is solved by using a nonsmooth variant of the Newton method. Numerical results of a model example are shown.