Analysis of plastic slip lines at the tip of a crack terminating at the interface of different media

Abstract

The slip lines at the tip of a mode I crack are analyzed by using the Wiener–Hopf technique within the scope of a plane (plane-strain) static problem of elastic theory. The crack terminates at the interface with a corner point between two isotropic media. The slip lines are located at the interface. They simulate the plastic zone near the crack tip in a piecewise-homogeneous quasibrittle body in the case where the contacting materials are much stiffer than the more plastic bonding material.