Dynamics for Systems of Screw Dislocations

Timothy Blass; Irene Fonseca; Giovanni Leoni; Marco Morandotti

Dynamics for Systems of Screw Dislocations

Dynamical Systems 2014-10-24 v1

Authors: 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 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.

Keywords

elasticity

Cite

@article{arxiv.1410.6306,
  title  = {Dynamics for Systems of Screw Dislocations},
  author = {Timothy Blass and Irene Fonseca and Giovanni Leoni and Marco Morandotti},
  journal= {arXiv preprint arXiv:1410.6306},
  year   = {2014}
}