Dynamic dislocation modeling by combining Peierls Nabarro and Galerkin methods

A dislocation model combining Peierls Nabarro and Galerkin methods is formulated within the framework of the finite element technique. Complex boundary conditions, dynamic problems, as well as complex dislocation structures can be addressed without any loss in the dislocation core structure description. It is shown that the model reduces to the Peierls Nabarro and phase field techniques under specific limits. An example of a fast moving dislocation dissociated into Shockley partials is given.