Solutions were obtained, for the problems of circular prismatic and glide dislocation loops in an infinitely extended linear isotropic non-local elastic medium, by assuming an appropriate three-dimensional non-local modulus. It was found that the stress fields had no singularities at the dislocation lines; in contrast to the classical elastic solutions. The stored elastic energy was also estimated.

Circular Dislocation Loops in Non-Local Elasticity. J.Z.Povstenko: Journal of Physics D, 1995, 28[1], 105-11