Issues of Magnetoelastic Interactions in Spherical Shells

Basic equations and surface conditions, describing the behavior of both superconducting and finitely conducting closed spherical shells in an inhomogeneous magnetic field are derived. Based on them, mathematical modeling of the problem of static stability of superconducting closed spherical shell in magnetic field is done, when magnetic field is created by two parallel ring constant currents. Issues of non-contact holding of the shell by specified magnetic field and stability of the shell in this state are considered. The problem of dynamic stability of superconducting shell under the influence of uniform non-stationary magnetic field is formulated and solved.