Various forms for the interactions between dislocations were given in the literature. While arising from the same basic expression, they differ in terms that vanish when integrating over an entire dislocation loop and thus yielded the same value for the interaction energy between distinct dislocations. It was shown here however that, when applied to dislocation self-energies, which because of a core cut-off did not involve integration over the entire loop, these expressions might not yield equivalent results.

Ambiguities in the Calculation of Dislocation Self Energies. R.LeSar: Physica Status Solidi B, 2004, 241[13], 2875-80