Existence and Convergence Results for an Elastic Frictional Contact Problem with Nonmonotone Subdifferential Boundary Conditions

The goal of this paper is to study a mathematical model nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by combination Signorini unilateral frictionless condition, and nonmonotone multivalued contact, friction laws subdifferential form. First, under suitable assumptions, we deliver weak formulation model, which an elliptic system Lagrange multipliers, consists hemivariational inequality variational inequality. Then, prove solvability problem. Finally, employing notion H-convergence tensors, provide result on convergence solutions perturbations appear operator, body forces, surface tractions.