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arXiv · 1410.6306

Dynamics for Systems of Screw Dislocations

Timothy Blass·Irene Fonseca·Giovanni Leoni·Marco Morandotti
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Abstract

The goal of this paper is the analytical validation of a model of Cermelli and Gurtin 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.

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Timothy Blass, Irene Fonseca, Giovanni Leoni, Marco Morandotti. 2014-10-23. Dynamics for Systems of Screw Dislocations. https://arxiv.org/abs/1410.6306

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