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

In this paper, the mode III crack problem of a nonhomogenous layer bonded to an elastic halfplane is considered. It is assumed that the half plane is homogeneous and the layer is nonhomogeneous in which the elastic properties are continuous throughout the layer. The stress field in a nonhomogeneous 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 nonhomogeneity 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 nonhomogenous coating.