Abstract

The present paper starts form the original Ginzburg-Landau-equations of superconductivity and the linear theory of elasticity for internal stresses as well as the experimental fact that the specific volume and the elastic constants vary throughout the superconducting phase. With the aid of phenomenological expressions for the free energy and the spontaneous deformation (superconductive magnetostriction) of a deformable type II superconductor, a general method is given for the determination of the interaction between the field of the order parameter, the magnetic field, and the field of the elastic deformations. For an isolated straight vortex-line and for a straight vortex-line in the neighbourhood of a dislocation of arbitrary character, formulas for the internal stresses are derived using first order perturbation theory (corresponding to first powers in the changes of specific volume and elastic constants).