Solutions of the dislocation equation were explored by extracting the core component from the total displacement field. The core component, which described the core structure of dislocation, could be given by a set of localized functions which were orthogonal each other. The displacement field with both the edge and screw components were studied simultaneously by introducing an intrinsic frame which was given by directions parallel and perpendicular to the Burger’s vector. From application to the dislocations in the materials YCu, it was found that the method was efficient in solving the dislocation equation in particular for the dislocation with a complex core.

Solving Dislocation Equation for the Dislocation with Complex Core. S.F.Wang, S.R.Li, R.Wang: The European Physical Journal B, 2011, 83[1], 15-22