Solving dislocation equation for the dislocation with complex core

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