The anti-plane shear problem of debonding of two solids made of power law hardening materials

Debonding of two different solids made of power law hardening materials is studied for the case of anti-plane shear loading mode by using an interface crack model. The stresses and the stress intensity factor at the interface crack are determined analytically. Using these analytical results, the constitutive equations by Hencky-Ilyushin and the general equation of energy in the neighborhood of the crack tip, the adhesion energy for the loading mode under consideration is found analytically. It can be observed that for the particular case of two linearly elastic materials and a homogeneous linearly elastic material the solution found here is in excellent agreement with the solutions found in the literature.