Non-Symmetrical Plane Contact of a Wedge Indenter

Abstract

Different parameters of the asymmetric contact problem between an elastic wedge and a half-plane have been introduced in this paper. These parameters include the distribution of contact pressure and length of contact zones due to frictionless normal loading. For each parameter, the results have been compared with the results of the symmetric problem and numerical solution, which show excellent agreement. The method of approach is a completely analytical method based on singular integral equations. In this method, the boundary conditions of the problem are stated as some singular integrals, and distribution of the contact pressure is specified. Then, with use of the equilibrium equations and the consistency conditions of the singular integral solution, the lengths of the contact zones are specified.