Asymptotic Distributions of Stresses and Displacements Near the Edge of a Contact Zone

Abstract

We find the asymptotic distributions of stresses and displacements near the edge point of a contact zone for problems of friction contact and contact with complete adhesion of an elastic body with a die, as well as for the problems of friction contact of two elastic bodies and contact of the faces of interface cracks. The distributions of elastic fields are obtained by using one of the Kolosov–Muskhelishvili complex potentials in the form of a Cauchy-type integral whose density is given by a complex function of contact forces.