Multiscale material modeling and its application to a dynamic crack propagation problem

Here we present a multiscale field theory for modeling and simulation of multi-grain material system which consists of several different kinds of single crystals and a large number of different kinds of discrete atoms. The theoretical construction of the multiscale field theory is briefly introduced. The interatomic forces are used to formulate the governing equations for the system. A compact tension specimen made of magnesium oxide is modeled by discrete atoms in front of the crack tip and finite elements in the far field. Results showing crack propagation through the atomic region are presented.