Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks

Abstract

In this paper, the mode III crack problem of a non-homogenous layer bonded to an elastic half-plane is considered. It is assumed that the half plane is homogeneous and the layer is non-homogeneous in which the elastic properties are continuous throughout the layer. The stress field in a non-homogeneous layer and in an elastic half plane with Volterra type screw dislocation is obtained. Fourier transforms was applied to governing equations to derive a system of singular integral equations with simple Cauchy kernel. Then, the integral equations are solved numerically by converting to a system of linear algebraic equations and by using a collocation technique. The results given include the effect of the non-homogeneity parameters, interaction between the multiple cracks and distance of the cracks on the stress intensity factors for the purpose of gaining better understanding of the mechanical behavior of non-homogenous coating.