New lattice models for dynamic fracture problems of anisotropic materials

Abstract

In this paper we present a two-dimensional lattice model to simulate dynamic fracture problems in anisotropic materials. The model is based on the equivalence of strain energy stored in a representative unit cell to its counterpart continuum structure in the case of in-plane elasticity. A major advantage of this model is that the underlying lattice structure inherently incorporates the crack path preference of anisotropic materials. A numerical example is included to show the capability of these methods for modeling dynamic fracture problems in anisotropic materials. The results obtained are in agreement with the numerical results obtained with a finite element method. Discussions and future work are presented according to this research.