  The present paper extends the thermodynamic dislocation theory developed by
Langer, Bouchbinder, and Lookmann to non-uniform plastic deformations. The free
energy density as well as the positive definite dissipation function are
proposed. The governing equations are derived from the variational equation. As
illustration, the problem of plane strain constrained shear of single crystal
deforming in single slip is solved within the proposed theory.
