Papkovich-Neuber potential function solutions were derived for circular Somigliana dislocations with Burgers vectors in the radial (edge dislocation) and axial (glide dislocation) directions. The solutions for each case were expressed in terms of a single harmonic function which was given by a Lipschitz-Hankel type of integral. The asymptotic behaviors of the resultant stresses in the vicinity of the dislocation line, and a large distance away it, were deduced.

Somigliana Ring Dislocation – I. Papkovich Potential Solutions for Dislocations in an Infinite Space. A.M.Korsunsky: Journal of Elasticity, 1996, 44[2], 97-114