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Publication 60

Dynamics for Systems of Screw Dislocations

Authors:

CMUTimothy Blass
Department of Mathematical Sciences, Carnegie Mellon University


CMUIrene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213


CMUGiovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213


CMUMarco Morandotti
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA


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
14-CNA-025.pdf

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