Based upon Eringen’s model of non-local anisotropic elasticity, new solutions for the stress fields of screw dislocations in anisotropic materials were derived. In the theory of non-local anisotropic elasticity the anisotropy was twofold. The anisotropic material behaviour was not only included in the anisotropy of the elastic stiffness properties, but also in the anisotropy of the non-locality which was expressed by the anisotropy of the length scale parameters, which was incorporated in the anisotropy of the nonlocal kernel function. Particularly, a new two-dimensional anisotropic kernel which was the Green function of a linear differential operator with three length scale parameters was derived analytically. New solutions for the stresses of straight screw dislocations in anisotropic (monoclinic and hexagonal) materials were found. The stresses do not have singularities and possess interesting features of anisotropy, which were presented and discussed.

Screw Dislocation in Nonlocal Anisotropic Elasticity. M.Lazar, E.Agiasofitou: International Journal of Engineering Science, 2011, 49[12], 1404-14