Driving forces for dislocation motion and nucleation in finite-deformation field dislocation mechanics were derived. The former establishes a rigorous analogue of the Peach–Koehler force of classical elastic dislocation theory in a non-linear non-equilibrium field-theoretic context; the latter was a prediction of the theory. The structure of the stress response and permanent distortion were also derived. Sufficient boundary and initial conditions were indicated, and invariance under superposed rigid motions was considered. Hyper-elasticity and finite-deformation elastic theory of dislocations were shown to be special cases of the framework.

Constitutive Analysis of Finite Deformation Field Dislocation Mechanics. A.Acharya: Journal of the Mechanics and Physics of Solids, 2004, 52[2], 301-16