A system of persistent slip bands in a steady-state cyclically-deformed crystal was treated as a dynamic structure which developed via self-organization. The wavelength of the dislocation structure which formed in the bands represented the intrinsic length-scale which controlled the average width and density of persistent slip bands. The model was described by the equation of motion for glide dislocations and the equations for an elasto-plastic continuum. The basic assumption which was made was that the glide properties of the dislocations on all of the active slip planes of the persistent slip band lamellae of localized shear were the same. The estimated ratio of the wavelength of the dislocation structure, in persistent slip bands, to the average width of the band was compared with measured values. The predicted proportionality of the density of persistent slip bands to the applied plastic strain amplitude was in agreement with observations.

Width and Density of Persistent Slip Bands as a Consequence of Deformation Mesostructure. V.Gregor, J.Kratochvil, M.Saxlova: Journal de Physique IV, 1998, 8[8], 181-8