A self-consistent distribution of the excess dislocation density for a finite domain in the disclination field was studied by numerical methods. The effective Airy stress function, the stress tensor, and the elastic energy of a screened disclination were calculated and analyzed as a function of the mutual arrangements of the disclination and the plastically deformed zone, the size and geometry of this zone, and the boundary conditions. It was shown that the elastic energy of the system in all cases decreased significantly if the disclination occurred in a plastically deformed region of the crystal.

Influence of the Free Surface and the Plastically Deformed Zone Size on the Screening of the Disclination Elastic Field. G.F.Sarafanov, V.N.Perevezentsev: Technical Physics Letters, 2006, 32[9], 795-8