Abstract
In this paper, generalized geometrically necessary (GN) dislocation density and GN incompatibility are newly defined by extending Kroner’s dislocation density and incompatibility tensors. A new model of dislocation-crystal plasticity coupling a deformation field with a dislocation field is developed by introducing these dislocation densities into the hardening modulus matrix of crystal plasticity through the Bailey-Hirsch relation. The corrected Seeger model for the dislocation mean free path is extended to the third stage of strain hardening. Moreover, a finite element simulation is carried out for an f.c.c. single crystal under plane strain tension. It is numerically predicted that the shear band can be regarded as a subgrain.
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