Application of phase field microelasticity theory of phase transformationsto dislocation dynamics: model and three-dimensional simulations in a single crystal

A three-dimensional (3D) multi-dislocation system in an elastically anisotr opic crystal under applied stress is considered as a particular case of the phase field microelasticity theory of multivariant stress-induced martensi tic transformations. This approach reduces the problem of evolution of a di slocation system to a solution of the nonlinear integrodifferential Ginzbur g-Landau equation. In this formalism, the elastic interaction between dislo cations is taken into account through exact analytical solution of the elas ticity problem. The dislocation reactions, such as multiplication/annihilat ion, are taken into account automatically. The dislocations are 'free' to c hoose the optimal evolution path. Examples of 3D computer simulation of dis location dynamics are considered.