A dislocation based gradient plasticity model

Y. Estrin, B. Sluys, Y. Brechet, A. Molinari

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A crystal plasticity model including gradient terms was suggested for a double slip geometry. The dislocation densities for the two slip systems were considered as internal variables of the model. Diffusion-like second derivative terms were attributed to dislocation cross-slip. A relation between the 'diffusion coefficient' and the micromechanical quantities, such as the dislocation cross-slip probability and the cross-slip distance was established. To demonstrate that a model of this type can be successfully used in conjunction with finite element analysis, a simplified case of a shear layer, with two slip systems sharing a common slip plane, was studied.

Original languageEnglish
Pages (from-to)135-141
Number of pages7
JournalJournal de Physique IV
Issue number8
Publication statusPublished - 1998
Externally publishedYes

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