A phenomenological polycrystalline version of a non-local crystal plasticity model was formulated. The presence of geometrically necessary dislocations at, or near, grain boundaries was modelled as an elastic lattice curvature via a curl of the elastic part of the deformation gradient. This spatial gradient of an internal state variable introduced a length scale which turned the local form of the model (an ordinary differential equation) into a non-local form (a partial differential equation requiring boundary conditions). A small lattice elastic stretching resulted from the presence of dislocations, and from macroscopic external loading. Finite deformation resulted from extensive plastic slip and large rotations.

A Non-Local Phenomenological Anisotropic Finite Deformation Plasticity Model Accounting for Dislocation Defects. R.A.Regueiro, D.J.Bammann, E.B.Marin, K.Garikipati: Journal of Engineering Materials and Technology, 2002, 124[3], 380-7