  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.
