A continuum model was presented here, for dislocation dynamics in a slip-plane, which accurately incorporated both the long-range interaction and the local line tension effect of dislocations. Unlike the continuum models in the literature using dislocation densities, the disregistry across the slip plane was used to represent the continuous distribution of dislocations in the slip plane, which had the advantage of including the orientation dependence of dislocations in a very simple way. The continuum dislocation dynamics model was validated by linear instability analysis of a uniform dislocation array to small perturbations and comparisons of the results with those of the discrete dislocation dynamics model. Numerical examples for the evolution of distributions of dislocations and plastic slips in a slip plane were presented.

Continuum Model for Dislocation Dynamics in a Slip Plane. X.Zhu, X.Yang: Philosophical Magazine, 2010, 90[33], 4409-28