An Approximation of Solutions for the Problem with Quasistatic Contact in the Case of Dry Friction

In this paper, we discuss the question of finding an optimal control for solutions problem with dry friction quasistatic contact, in case that law is modeled by a nonlocal version Coulomb’s law. order to get necessary optimality conditions, use some regularization techniques, and leads us inequality variational type. The consists, our case, minimizing sequence problems, where variable given Neumann-type boundary condition. state system represented limit sequence, whose terms are obtained from discretization, time finite difference space element method regularized contact Coulomb friction. purpose traction force (the variable) acting on one side Neumann condition) elastic body produces displacement field solution) close enough imposed field, remains small enough.