Elastic Stress Analysis of a Three-Dimensional Crack Using the Layer Potential : (Indirect Boundary Integral Method)

Abstract

The elastic stress analysis of a three-dimensional crack is carried out by the use of the indirect boundary integral method. The fundamental solutions of this method are simple- and double-layer potentials. This method has the advantage that the discontinuity of a layer potential across the crack surface is related to that of displacement, i.e., crack opening displacements of penny- and ring-shaped cracks are obtained. Also, the usefulness of this method in solving crack problem is shown by comparing the present results with other results.