%0 Journal Article %T Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks %J Scientia Iranica %I Sharif University of Technology %Z 1026-3098 %A Sourki, R. %A Ayatollahi, M. %A Monfared, M. M. %D 2018 %\ 10/01/2018 %V 25 %N 5 %P 2570-2581 %! Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks %K Interface cracks %K distributed dislocation technique %K functionally graded layer %K Volterra type screw dislocation %K Stress intensity factors %R 10.24200/sci.2017.4493 %X 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. %U https://scientiairanica.sharif.edu/article_4493_2e0fcd6cd97c8c3541d3d46882f1a574.pdf