This paper presents a method for calculating geometrically necessary dislocation densities in dislocation dynamics simulations. Evolution of suitably defined averages of geometrically necessary dislocation density as well as maps showing the spatial non-uniform distribution of geometrically necessary dislocation densities were analyzed under uniaxial loading. Attention was focussed on the resolution dependence of the very notion of geometrically necessary dislocation density, its dependence upon physical dimensions of plastically deformed specimens and its sensitivity to initial conditions.

Evolution of Geometrically Necessary Dislocation Density from Computational Dislocation Dynamics. P.J.Guruprasad, A.A.Benzerga: IOP Conference Series - Materials Science and Engineering, 2009, 3[1], 012008