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Publication 14-CNA-025
Dynamics for Systems of Screw Dislocations Timothy Blass Irene Fonseca Giovanni Leoni Marco Morandotti Abstract: The goal of this paper is the analytical validation of a model of Cermelli and Gurtin [12] for an evolution law for systems of screw dislocations under the assumption of antiplane shear. The motion of the dislocations is restricted to a discrete set of glide directions, which are properties of the material. The evolution law is given by a "maximal dissipation criterion", leading to a system of di_erential inclusions. Short time existence, uniqueness, cross-slip, and fine cross-slip of solutions are proved. Get the paper in its entirety as |
