Elsevier Plane stress elastoplastic solutions of interface cracks with contact zones

An elastoplastic solution for the plane stress problem of an interface crack with contact zones is presented. The problem of a crack lying along the interface of an elastoplastic medium and a rigid substrate is analyzed in detail. Any contact between the crack surface and the substrate isassumed to be frictionless. The J2 deformation theory with power-law hardening is used to describe the constitutive behavior of the deformable medium and a two-term elastoplastic asymptotic solution is developed. Large scale yielding finite element solutions for a Griffith interface crack with contact zones are also presented. The numerical solutions are used to verify the elastoplastic solutions developed. The possible application of the rigid substrate solutions to the problem of a crack along the interface of two deformable media is also discussed. 1