Stresses in coated solids due to normal and shear tractions on an elliptical region

Abstract

This paper is aimed at calculating stresses in coated-solids produced by normal and shear tractions applied over an elliptical region using Fourier transform methods. Stress fields due to Hertz contact pressure in an elliptical region are studied as a function of ellipticity b/ a (where b and a are the major and minor axes of the contact ellipse), coating–substrate material combination and coating thickness. Differences in stress distributions due to an applied load moving along the long axis and the short axis of contact ellipse are discussed. It is shown that when the contact pressure moves along the short axis of ellipse, coating–substrate interface shear stress calculated with the plane–strain model is an upper bound. It is also shown that in low friction contact, the surface flexure tensile stresses calculated with the plane strain model are lower.