Dislocation theory as a 3-dimensional translation gauge theory
Condensed Matter
2016-10-26 v1 General Relativity and Quantum Cosmology
Abstract
We consider the static elastoplastic theory of dislocations in an elastoplastic material. We use a Yang-Mills type Lagrangian (the teleparallel equivalent of Hilbert-Einstein Lagrangian) and some Lagrangians with anisotropic constitutive laws. The translational part of the generalized affine connection is utilized to describe the theory of elastoplasticity in the framework of a translation gauge theory. We obtain a system of Yang-Mills field equations which express the balance of force and moment.
Cite
@article{arxiv.cond-mat/0006280,
title = {Dislocation theory as a 3-dimensional translation gauge theory},
author = {Markus Lazar},
journal= {arXiv preprint arXiv:cond-mat/0006280},
year = {2016}
}
Comments
to appear in Annalen der Physik (2000)