Studies of Bimaterial Interface Fracture with Peridynamics

The peridynamic is a kind of unique theory which can deal with continuous models, defect of crack and particles in a single framework. It does this by formulating problems in terms of integro-differential equation rather than partial differential equations. This theory can be used to investigate the dynamic mechanical behavior of the discontinuous material, such as the propagation, bifurcation, unstability process of crack. However, there is no reasonable force function for the interface of bimaterial. In this paper, we utilize a weight function method to establish the force function of the bimaterial interface. We discussed crack propagation along the interface in a pre-notch bimaterial model by peridynamics, and analyzed the influence of different mesh shapes on the deflection angle of crack path. By comparing the peridynamic solution for these problems with the results published in the literature, we concluded that peridynamics with the proposed method is a reliable formulation for modeling the interfacial dynamic fracture of bimaterial.