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.

On a Reciprocal Relationship between the Deformation Fields of a Line Force and a Straight Dislocation. Y.T.Chou, D.M.Barnett: Philosophical Magazine Letters, 1997, 76[3], 139-41