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Dislocation theory as a 3-dimensional translation gauge theory

Markus Lazar
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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.

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Markus Lazar. 2000-06-19. Dislocation theory as a 3-dimensional translation gauge theory. https://doi.org/10.1002/1521-3889(200006)9%3A6%3C461%3A%3Aaid-andp461%3E3.0.co%3B2-b

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