Fields of displacements of polygonal dislocational structures

Formulae are derived for calculating the displacement field of a prismatic hexagonal vacancy-type dislocation loop with the Burgers vector b vector=a/3 (111) with a radius of a circumference r0. In the case of an arbitrary dislocation structure (fracture, dislocation bend, nonplane polygon, dislocation grid) the field of such a structure is derived from summing up the contribution of its segments taking the orientation and the Burgers vector value b vector sub(i) for every segment into account