Phase field microelasticity theory and modeling of multiple dislocation dynamics

The phase field theory and model of a multidislocation dynamics in an elast ically anisotropic crystal under applied stress is developed. The proposed three-dimensional (3D) model is a particular case of our phase field microe lasticity model of the stress-induced martensitic transformations. A sponta neous self-organization of dislocations in the evolving ensemble, which inv olves multiplication/annihilation and movement of dislocations controlled b y their elastic interaction, is described by the Ginzburg-Landau kinetic eq uation. Examples of 3D computer simulation of dislocation dynamics are cons idered. (C) 2001 American Institute of Physics.