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Publication 14-CNA-025

Dynamics for Systems of Screw Dislocations

Timothy Blass
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
tblass@andrew.cmu.edu

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

Marco Morandotti
Instituto Superior Técnico
Portugal
marco.morandotti@tecnico.ulisboa.pt

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 differential inclusions. Short time existence, uniqueness, cross-slip, and fine cross-slip of solutions are proved.

Get the paper in its entirety as 14-CNA-025.pdf

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