Abstract: With two-dimensional elastic model,this paper studied the mechanism of the interaction between a matrix crack and weak interfaces in fiber-reinforced composites. The basic solutions of edge dislocations embedded in an anisotropic multi-layered medium were first derived. Then, by using them as kernels,a set of singular integral equations was established for a typical H-shaped defect in weak-interface composites. Finally,the effects of various microstructural parameters, such as interfacial bonding strength,r...