Variational evolution of dislocations in single crystals
Résumé
In this paper we provide an existence result for the energetic evolution of a set of dislocation lines in a three-dimensional single crystal. The variational problem consists of a polyconvex stored-elastic energy plus a dislocation energy and some higher-order terms. The dislocations are modeled by means of integral one-currents and the dissipation distance is chosen to be the flat distance.
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