Department of Mechanical and Aerospace Engineering
On the Non-Uniqueness of Solutions of Screw Dislocation
in Multiply Connected Regions
Abstract
Solution for screw dislocation in multiply connected
regions is not unique, but depends on the cut along which
displacement discontinuity is imposed. This is illustrated
by considering dislocation in a hollow cylinder, for which
there are two possible solutions. Screw dislocation between a
cavity and the free surface of a half-space is considered, as
well as a dislocation between two cavities in an infinite
space. Three different solutions are derived in the latter case.
Location of an equilibrium dislocation position is determined
in each case.
