The distribution function for misorientation angles across dislocation boundaries was calculated by taking account of the random accumulation of excess dislocations. A Gaussian distribution for the misorientation angles could be obtained for a single set of straight and parallel dislocations. In the case of an equivalent contribution from 2 inclined sets, with a Gaussian distribution for each of the elementary dislocation systems, a universal function was derived which depended only slightly upon the inclination of the contributing dislocation sets. The resultant theoretical misorientation distributions were in good agreement with experimentally determined histograms, and supported the experimentally observed scaling behaviour.

On the Evolution of Disorientations in Dislocation Cell Structures During Plastic Deformation. W.Pantleon: Materials Science and Engineering A, 1997, 234-236, 567-70