It was shown that consideration of the screw dislocation within the framework of gradient elasticity indicated a zero value for the elastic strain at the dislocation line, and a maximum value of about 12% at a distance away from it that was approximately equal to c, where c was the gradient coefficient. Two characteristic distances, 4c and 10c arose naturally. The first distance was regarded as being the radius of the dislocation core, while the second could be viewed as being the radius of strong short-range interaction between dislocations. It was suggested that the first distance would normally be equal to 1 lattice spacing, while the second distance was equal to 2 lattice spacings.
Screw Dislocation in Gradient Elasticity. M.J.Gutkin, E.C.Aifantis: Scripta Materialia, 1996, 35[11], 1353-8