Stress Intensity Factors of an Inclined Elliptical Crack near a Bimaterial Interface

Abstract

In this paper the stress intersity factors of an inclined elliptical crack near a bimaterial interface are descussed. 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 inclined crack can be approtimated by models of vertical and parallel cracks with the error 24% even in the case of very close cracks neer an interface