The gauge theory of dislocations: a uniformly moving screw dislocation

Details The gauge theory of dislocations: a uniformly moving screw dislocation The gauge theory of dislocations: a uniformly moving screw dislocation

2009-04-29

arxiv.org/abs/0904.4578v2

Proc. R. Soc. A (2009) 465, 2505-2520

Physics

Condensed Matter

Materials Science

16 pages, 5 figures

Scientific paper

In this paper we present the equations of motion of a moving screw dislocation in the framework of the translation gauge theory of dislocations. In the gauge field theoretical formulation, a dislocation is a massive gauge field. We calculate the gauge field theoretical solutions of a uniformly moving screw dislocation. We give the subsonic and supersonic solutions. Thus, supersonic dislocations are not forbidden from the field theoretical point of view. We show that the elastic divergences at the dislocation core are removed. We also discuss the Mach cones produced by supersonic screw dislocations.

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