On the durability prediction for an elastic cylinder-elastic layer pair reinforced by thin coating according to the wear criterion

Abstract

The plane (plane-deformation) wear contact problem of elasticity theory concerning the interaction of a cylinder and a thick layer reinforced by a thin coating along the boundary is considered. The cylinder glides on the coating surface with a low speed (sufficient for neglecting inertia effects of the contacting bodies), which leads to the wear of their surfaces. The problem is traced to the solution of a nonlinear integral equation relative to the unknown contact pressure and size of the contact area depended on the cylinder pressing force. In case of the soft coating in relation to the cylinder and coating layer and the abrasive character of wear, actual solutions of the problem in quadrature are developed. Variants of the low and high wear of the coating are discussed. It is noted that the proposed method may be used for the investigation of the contact problem concerning pressing a smooth indenter into the thin viscoelastic coating on a rigid base.