Phase field microelasticity theory and modeling of multiple dislocation dynamics

The phase field theory and model of a multidislocation dynamics in an elastically anisotropic crystal under applied stress is developed. The proposed three-dimensional (3D) model is a particular case of our phase field microelasticity model of the stress-induced martensitic transformations. A spontaneous self-organization of dislocations in the evolving ensemble, which involves multiplication/annihilation and movement of dislocations controlled by their elastic interaction, is described by the Ginzburg-Landau kinetic equation. Examples of 3D computer simulation of dislocation dynamics are considered. (C) 2001 American Institute of Physics.