Analysis of an Elliptical Crack Parallel to a Bimaterial Interface under Tension.

Abstract

In this paper an elliptical crack parallel to a bimaterial interface is considered. The solution utilizes the body force method and requires Green's functions for perfectly bonded semi-infinite bodies. The formulation leads to a system of hypersingular integral equations whose unknowns are three modes of crack opening displacements. In the numerical calculation, unknown body force densities are approximated by using fundamental density functions and polynomials. The results show that the present method yields smooth variations of stress intensity factors along the crack front accurately. Distributions of stress intensity factors are indicated in tables and figures with varying the shape of crack, distance from the interface, and elastic constants. It is found that the stress intensity factors are mainly controlled by the root area parameter almost independent of the crack shape.