Stress Analysis of the Vicinity of an Elliptical Crack at the Interface of Two Bonded Elastic Half Spaces

Abstract

This paper is concerned with the stress analysis of an elliptical crack at the interface of two bonded, dissimilar elastic half spaces when the upper and lower faces of the crack are subjected to internal pressure. By using the generalized Abel transform, we reduce the problem to the Hilbert problem with infinite unknown functions. The general method used to solve the problem is shown. As a numerical example, we apply the method to a case in which the crack faces are subjected to constant pressure.