Dislocation theory as a 3-dimensional translation gauge theory

We consider the static elastoplastic theory of dislocations in an elastopla stic material. We use a Yang-Mills type Lagrangian (the teleparallel equiva lent of Hilbert-Einstein Lagrangian) and some Lagrangians with anisotropic constitutive laws. The translational part of the generalized affine connect ion is utilized to describe the theory of elastoplasticity in the framework of a translation gauge theory We obtain a system of Yang-Mills field equat ions which express the balance of force and moment.