An evolution equation was derived, for a curved glide dislocation, by using the concept of line tension and a parametric description of the dislocation line. A numerical method was used to solve the equation under general conditions. Beginning with an initial configuration, the temporal evolution of the gliding dislocation was computed for 2 simple cases.
Viscous Glide of a Curved Dislocation R.Sedlácek: Philosophical Magazine Letters, 1997, 76[4], 275-80