Covariant description of contact interfaces considering anisotropy for adhesion and friction.: Part 2. Linearization, finite element implementation and numerical analysis of the model Original Research Article

A covariant description for contact problems including anisotropy for both adhesion and sliding domains is proposed. The principle of maximum dissipation is used to obtain a computational model in the case of quasi-static motions. This second part is first focusing on the linearization of the nonlinear equations necessary for the solution process. Then the finite element implementation for various contact elements is developed. In addition, a mechanical interpretation via a rheological model is discussed. Finally, different cases including curvilinear anisotropy on arbitrary surfaces are considered. The numerical examples are chosen to show the influence of the orthotropy type on the development of the sticking-sliding zone as well as on the kinematical behavior of the contact bodies.