A thermodynamically admissible constitutive theory of elastic superconductors is constructed in which the internal variable presenting a weak non-locality is none other than the complex-valued wave function of the microscopic theory of superconductivity. Material indifference and gauge-invariance are the imposed invariances.

The balance law of pseudomomentum and some of its direct consequences such as a J-integral for ductile fracture are derived on the basis of the general theory of material inhomogeneities for finitely deformable bodies and the thermomechanics of elastoplastic materials with hardening. The latter uses the notions of dissipation potential and internal variables of state for plastic-like rate-independent processes. The small-strain approximation is also given.