A kinetic model was proposed for slip band formation, and was used to analyze the nucleation and propagation of slip bands from the point of view of non-linear dislocation ensemble dynamics. The slip band was treated as a wave of reversal of the total dislocation density and dislocation charge. A self-similar regime of slip-band evolution was predicted, and its formation was found to be highly anisotropic in that it occurred mainly in the direction of dislocation slip.

Kinetic Mechanism of Slip Band Formation in Deformable Crystals. I.L.Maksimov, G.F.Sarafanov, S.N.Nagornykh: Fizika Tverdogo Tela, 1995, 37[10], 3169-78 (Physics of the Solid State, 1995, 37[10], 1745-9)