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Archive for Rational Mechanics and Analysis

, Volume 213, Issue 3, pp 887–929 | Cite as

Existence and Stability of a Screw Dislocation under Anti-Plane Deformation

  • Thomas Hudson
  • Christoph Ortner
Article

Abstract

We formulate a variational model for a geometrically necessary screw dislocation in an anti-plane lattice model at zero temperature. Invariance of the energy functional under lattice symmetries renders the problem non-coercive. Nevertheless, by establishing coercivity with respect to the elastic strain and a concentration compactness principle, we prove the existence of a global energy minimizer and thus demonstrate that dislocations are globally stable equilibria within our model.

Keywords

Short Path Burger Vector Stable Equilibrium Screw Dislocation Dislocation Core 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Mathematical InstituteUniversity of OxfordOxfordUK
  2. 2.Mathematics InstituteZeeman Building University of WarwickCoventryUK

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