“…Classical methods based on the integral equations aimed at the solution of contact problems for infinite bodies with thin coatings were developed in [1-4, 10, 11, 16, 24, 25]. The numerical methods proposed for solving the problems of contact interaction between finite bodies in the presence of thin coatings and surface layers on the basis of the theory of variational equations and inequalities and finite-element approximations were investi-gated in [5,6,14,20,28,35,42,48,52].…”