A micromechanical model of a dislocation cell structure was proposed that accounted for material inhomogeneity and incorporated internal stresses in a physically-based manner. A composite model was used to describe the material with its dislocation cell structure. The internal stress was obtained as a natural result of plastic deformation incompatibility and incorporated into the composite model. Application of this model permitted the prediction of the mechanical behaviour of metals under various non-uniform deformations. The use of the model was relatively straightforward, and permitted easy incorporation into macroscopic engineering computations.

Modelling of the Internal Stress in Dislocation Cell Structures. E.M.Viatkina, W.A.M.Brekelmans, M.G.D.Geers: European Journal of Mechanics A, 2007, 26[6], 982-98