Motion of a bandage and an inlay with acute and smooth edges on the boundary between viscoelastic cylinder and domain with a cylindrical cavity

Abstract

We consider a contact problem about the interaction of the rigid bandage and inlay and boundaries of the viscoelastic cylinder and domain with a cylindrical cavity. It is assumed that the bandage and inlay move over the boundaries at a constant velocity. Friction in the zone of contact is neglected. At the first stage we determine displacement of the boundaries of the viscoelastic cylinder and the domain with a cylindrical cavity as a function of applied normal load. At the second stage the integral equation of the contact problem for the contact pressure is derived. At the thirst stage integral equation is solved approximately using the Multopp-Kalandia method for the bandage and inlay with acute edges, and in the case when the bandage and inlay have smooth edges we use one of the modifications of the method of orthogonal polynomials.