%0 Journal Article
%T Dynamics for Systems of Screw Dislocations
%A Timothy Blass
%A Irene Fonseca
%A Giovanni Leoni
%A Marco Morandotti
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1410.6306v1