The use of the method of successive approximations to calculate an elastic contact in the presence of molecular adhesion

The contact of indenters with an elastic composition consisting of a coating and a substrate when there is intermolecular interaction (adhesion) is considered. The method of successive approximations is used to solve the non-linear integral equation of the problem. The verification of the convergence of this method, as applied to the case of an intermolecular interaction described by the Lennard-Jones potential, is given. The results of a numerical solution of the problem for an indenter of rectangular cross section with a contact surface of parabolic-wave shape are presented.