Abstract

A microstructural approach to the incorporation of gradient terms in a single crystal plasticity theory is discussed. A diffusion term that represents cross-slip of dislocations is included in the evolution equations for dislocation densities. A coupling between microscale and macroscale is provided by the dislocation based gradient plasticity model. An algorithmic treatment of the model is given. The effect of the diffusion-like term in the constitutive relation on the resulting formation of localized shear modes is studied. An analysis of a plane strain strip in tension oriented for multiple slip is presented. The effect of the dislocation `diffusivity' on the shear band thickness is analysed.

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