Coupling the dynamical behavior of compatible/incompatible dislocation distributions

Physics – Condensed Matter – Statistical Mechanics

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Scientific paper

Modeling the self-organization and collective behavior of dislocation ensembles is of primary concern in this work. Two dislocation species are considered: excess dislocations seen as a man- ifestation of lattice incompatibility, and statistically distributed dislocations, which induce com- patible deformation. Conventional slip-based crystal plasticity is used to model the behavior and dynamics of the latter, while Field Dislocation Mechanics is employed to account for the former. Coupling the dynamics of both species proceeds along two reciprocal ways: spatial gradients in slip produced by mobile statistical dislocations leads to nucleation of excess dislocations, while excess dislocations contribute to forest hardening. Illustration is given to the evolution of mobile and excess dislocation density. Dislocation arrangements resulting from the model are presented.

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