This work is focused on the development of novel concepts for a direct integration of three-dimensional plasticity models into a contact formulation which can be applied to different kinds of contact discretizations. These generic concepts are applied to the investigation of soil structure interactions where the new friction laws are implemented into the Mortar method. Within the Mortar framework for the first time a pure Lagrange multiplier method and new mixed version are presented and compared to standard Mortar formulations. At the end a concept to integrate the contact fomulations into the eXtended-Finite-Element-Method is presented which is based on the Hu-Washizu principle and which needs additional stabilization schemes.
