A wedge dislocation was analyzed within the framework of elasticity theory and the geometrical theory of defects. It was shown that the geometrical theory quantitatively reproduced all of the results of elasticity theory within the linear approximation. Coincidence was achieved by introducing the postulate that the entity which satisfied the Einstein equations also had to satisfy the gauge condition; which, in the linear approximation, led to the elasticity equations for the displacement vector field. The gauge condition depended upon the experimentally measurable Poisson ratio.

Wedge Dislocation in the Geometric Theory of Defects. M.O.Katanaev: Theoretical and Mathematical Physics, 2003, 135[2], 733-44