Elastic behavior of screw dislocations in porous solids

Dislocation behavior in porous solids with different 2D arrangements of closed cylindrical voids is discussed. It is suggested that in many cases important for practice, the approximation of two closest voids may be quite effective. The stress field and strain energy of a screw dislocation in an elastically isotropic solid containing two cylindrical voids are rigorously derived by the technique of infinite ensembles of image dislocations and analyzed in detail. The image force exerted by the voids on such a dislocation is also calculated and studied. As a limiting case of the solution obtained, we derive the stress field of a screw dislocation in a half-space containing a cylindrical void.