Micromechanics of screw dislocations in elastic solids with inner and outer cylindrical boundaries

Abstract

Boundary-value problems in the isotropic theory of elasticity for a screw dislocation in the wall of a hollow cylinder and in a solid with two cylindrical voids have been solved rigorously by means of the method of virtual image dislocations. The elastic stress fields, energies and image forces on the dislocation have been analyzed in detail. In a special limiting case, the stress fields of a screw dislocation in a half-space containing a cylindrical void have been derived. The solutions obtained may be used for theoretical investigation of dislocation nucleation and behavior in hollow nanotubes as well as for a study of the formation and dynamics of cylindrical voids in plastically deformed crystals.