It was recalled that the solution for a screw or edge dislocation in a multiply-connected region was not unique, in the sense that it depended upon the cut along which the displacement discontinuity was imposed. Given a connectivity, n, for the region, there were then n different solutions. This was demonstrated by considering a screw dislocation in a hollow cylinder and near a cavity in an infinite medium.
On the Non-Uniqueness of Solution for Screw Dislocations in Multiply Connected Regions. V.A.Lubarda: Journal of Elasticity, 1999, 52[3], 289-92