Finite element formulation of large deformation impact-contact problems with friction

Impact-contact problems including frictional effects appear in many technical applications. For these problems a finite element formulation is presented which is based on a new frictional interface law and fully implicit algorithmic treatment for the integration of the constitutive relations and the dynamics. The first is performed via radial return schemes, which are well established in computational plasticity. As radial return methods are amenable to consistent linearizations, a full Newton-type algorithm can be constructed within a time step. This leads, however, to non-symmetric tangent matrices. Several examples compare this method with other formulations and shows its efficiency.