Formulae were found, for calculating internal stresses which were generated in a material by continuously distributed dislocations, on the basis of the gauge theory of defects. It was shown that the internal stresses were self-balancing and that they satisfied equilibrium equations and boundary conditions in the absence of external loads.
Internal Stresses in a Solid with Dislocations. S.P.Kiselev: Journal of Applied Mechanics and Technical Physics, 2004, 45[4], 567-71