It was noted that continuous dislocation theory had not found great practical applicability, due largely to the dislocation density tensor being an average quantity that included very limited information around dislocation structures and energetics at length scales which were smaller than the averaging volume. A straightforward method was presented here for including the effects of the underlying structure. It was based upon moments of the dislocation distribution, and showed that the addition of a small number of order parameters permitted accurate characterization of the energetics.

Incorporation of Local Structure in Continuous Dislocation Theory. R.LeSar, J.M.Rickman: Physical Review B, 2004, 69[17], 172105 (4pp)