Abstract

We study an axially symmetric frictionless contact problem between a nonhomogeneous elastic half-space and a rigid base that has a small axisymmetric surface recess. We reduce the problem to solving Fredholm integral equations, solve these equations numerically, and establish a relationship between the applied pressure and the gap radius. We find and graph the effects of nonhomogeneity on the normal pressure, critical pressure and on the surface displacement.

Keywords

Hankel transform, dual integral equation, Fredholm integral equation, elastic nonhomogeneity

Authors