A linear non-singular solution was presented for the edge dislocation in the translational gauge theory of defects. The stress function method was used, and a modified stress function was obtained. All of the field quantities were globally defined, and the solution agreed with the classical solution for the edge dislocation in the far-field. The components of the stress, strain, distortion and displacement fields were also defined in the dislocation core region and had no singularity there. The dislocation density, moment and couple stress for an edge dislocation were calculated. The present solutions for the stress and strain fields were in agreement with those obtained by analysis of the edge dislocation in strain gradient elasticity. The relationship between gauge theory and the Eringen non-local theory of dislocations was pointed out.

A Non-Singular Solution of the Edge Dislocation in the Gauge Theory of Dislocations. M.Lazar: Journal of Physics A, 2003, 36[5], 1415-37