An explicit linear relationship between the stress field of a line force, and the displacement gradients of a straight dislocation, was based upon Stroh's formalism of anisotropic plane linear elastostatics. This reciprocal relationship had previously been deduced from arguments which were based upon thermostatics (Moutier's theorem) and Betti's theorem for linear elasticity.

Y.T.Chou, D.M.Barnett: Philosophical Magazine Letters, 1997, 76[3], 139-41