Formulae for calculating internal stresses in a material, generated by continuously distributed dislocations, were found on the basis of the gauge theory of defects. It was shown that internal stresses were self-balanced and satisfy the 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], 567-571