Complementary Eigenvalue Problem in Systems with Frictional Contact: The Stiffness Matrix for the Contact Nodes between Different Materials

This work addresses a numerical study of static equilibrium states of finite dimensional systems with frictional contact and its application to the particular problem of friction between two geological layers with different viscosity. Its formulation as a complementarity eigenproblem requires the building up of mass M and stiffness K matrices to solve the eigenvalue equations for the relative deformation of two contacting materials.