On Field Induced Diaelastic Effect in a Small Josephson Contact
  An analog of the diaelastic effect is predicted to occur in a small Josephson contact with Josephson vortices manifesting itself as magnetic field induced softening of the contact shear modulus C(T,H). In addition to Fraunhofer type field oscillations, C(T,H) is found to exhibit pronounced flux driven temperature oscillations near T_C. 
S. Sergeenkov and F.M. Araujo-Moreira
cond-mat.supr-con