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Harald Garcke, Robert Nurnberg, Vanessa Styles,Stress and Diffusion Induced Interface Motion: Modelling and numerical simulationsWe propose a phase field model for stress and diffusion induced interface motion. This model in particular can be used to describe diffusion induced grain boundary motion (DIGM) and generalizes a model of Cahn, Fife and Penrose as it more accurately incorporates stress effects. In this paper we will demonstrate that the model can also be used to describe other stress driven interface motion As an example interface motion resulting from interactions of interfaces with dislocations is studied.Bibliographical note: To be submitted to the European Journal of Applied Mathematics |