Eshelby's classic work (Eshelby, 1953) on a screw dislocation in an elastic rod was extended to the corresponding piezoelectric case. Here, the screw dislocation suffered a displacement jump and an electric potential jump across the slip plane, and the surface of the piezoelectric cylinder was traction-free and charge-free. The results demonstrated that this extension was not trivial because, under some conditions, the screw dislocation could not be ejected from the piezoelectric cylinder by applying an external torque to the cylinder, and the stress–strain curve in torsion possessed a non-linear region due to the movement of the screw dislocation. These observations were quite different than those predicted by Eshelby (1953) for the elastic rod case, and were expected to be particularly interesting with regard to piezoelectric nanowire structures involving Eshelby twist.

Screw Dislocations in Piezoelectric Nanowires. X.Wang, E.Pan: Mechanics Research Communications, 2010, 37[8], 707-11