Cohesive Model of the Process Zone Near the Tip of a Crack Originating from a Corner Point of the Broken Interface

Abstract

Within the framework of a cohesive model, we determine the parameters of the process zone in the binding material at the tip of an interface crack originating from the corner point of the broken interface of two different homogeneous isotropic materials. The indicated zone is modeled by the line of discontinuity of displacements where the stresses satisfy the Mises–Hill fracture criterion. By the Mellin integral transformation, we reduce the problem to the Wiener–Hopf vector equation whose analytic solution is found by the method of successive approximations. We deduce the equations for the length of the process zone and the phase length of stresses in this zone, as well as the expression for the crack-tip opening displacement. Finally, we perform the numerical analysis of parameters of the process zone.