Numerical solution of contact problem for elastic bodies under the action of normal and tangential loadings

Abstract

The quasistatic contact problem of two identically elastic bodies’ interaction with Coulomb
friction under the action of normal and tangential forces is considered. The problem is reduced to
a series of similar systems of nonlinear boundary integral equations. Each of the systems in this
series corresponds to a step of bodies loading. A method of an approximate solution of the integral
equations is applied to obtaining the contact stresses at the each step of loading. This method consists in discretization of the system of equations and the use of an iterative process for solving
discretized system. The influence of loading history on the distribution of tangential contact
stresses is studied for a problem of the interaction of an elastic sphere and an elastic half-space.