Axisymmetric Frictional Contact Problem for Elastic Half-Space with Surface Layer.

Abstract

An axisymmetric contact problem between a rigid punch and an elastic layer bonded on an elastic half-space is solved. Coulomb-type friction is assumed on the contact surface. Using Boussinesq's stress functions for the layer and the half-space, the problem is reduced to solving simultaneous integral equations with respect to the tractions and displacements on the contact surface. The integral equations are discretized into a system of algebraic equations to obtain the numerical solution of the problem. Contact stresses and displacements have been computed for the case of rigid flat-ended punch. The stick-slip boundaries have also been determined for various combinations of parameters, namely, thickness of the layer, rigidity of the layer, and coefficient of friction.