The singular integral equation method in the analysis of a crack perpendicular to the interface. The hypersingular integral equation method and the body force method.

Abstract

In this paper, the plane problem of two bonded elastic half planes containing a crack perpendicular to and going through the interface is considered. The problem is formulated as a system of singular integral equations by using the stress field induced by "the displacement discontinuity". In solving the equations, the hypersingular integral equation method (HIEM) and the body force method (BFM) are compared. The calculation shows that the HIEM, in which the unknown function is approximated by the product of the weight function and chebychev polynominals, gives rapidly converging numerical results in this analysis.