An elastoplastic theory of dislocations as a physical field theory with torsion

Details An elastoplastic theory of dislocations as a physical field theory with torsion An elastoplastic theory of dislocations as a physical field theory with torsion

2001-05-14

arxiv.org/abs/cond-mat/0105270v3

J.Phys.A35:1983-2004,2002

Physics

Condensed Matter

38 pages, 6 figures, RevTex

Scientific paper

10.1088/0305-4470/35/8/313

We consider a static theory of dislocations with moment stress in an anisotropic or isotropic elastoplastical material as a T(3)-gauge theory. We obtain Yang-Mills type field equations which express the force and the moment equilibrium. Additionally, we discuss several constitutive laws between the dislocation density and the moment stress. For a straight screw dislocation, we find the stress field which is modified near the dislocation core due to the appearance of moment stress. For the first time, we calculate the localized moment stress, the Nye tensor, the elastoplastic energy and the modified Peach-Koehler force of a screw dislocation in this framework. Moreover, we discuss the straightforward analogy between a screw dislocation and a magnetic vortex. The dislocation theory in solids is also considered as a three-dimensional effective theory of gravity.

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