Solving the Elasto-Plastic Behaviour of Two Bodies in Contact Using the Mortar Method

This paper focuses on the Mortar method employing a segment-to-segment approach, utilized for connecting non-conforming and non-overlapping meshes and for handling contact between two elasto-plastic bodies.We provide a brief overview of the theory, present our implementation in Matlab, and conduct numerical results.We use the vectorized aproach for assembling tangential stiffness matrices and the semi-smooth Newton method for linearizing the material nonlinearities.