  The present paper extends the thermodynamic dislocation theory initiated by
Langer, Bouchbinder and Lookman [2010] to non-uniform finite plastic
deformations. The equations of motion are derived from the variational equation
involving the free energy density and the positive definite dissipation
function. We also consider the simplified theory by neglecting the excess
dislocations. For illustration, the problem of finite strain constrained shear
of single crystals with one active slip system is solved within the proposed
theory.
