The distribution of dislocations in stacked linear arrays

Abstract

Approximate distributions for dislocations in linear arrays have previously been found by a method in which discrete dislocations are replaced by a continuous distribution of elementary dislocations. This method is now extended to cases where screw-type arrays are stacked one above the other in infinite sequences. When the ratio of the separation to the length of an array is small the number of dislocations in each is determined by the stress and separation and the associated strain by the applied stress alone.