Flux-pinning-induced stresses in a hollow superconducting cylinder with flux creep and viscosity properties

• Magnetoelastic problem for a superconducting cylinder with a hole is investigated.
• The effects of both flux creep and viscous flux flow on stresses are analyzed.
• For the FC case, the maximal hoop tensile stress always occurs at hole edge.
• For the ZFC case, the maximal hoop stress is not certain to occur at hole edge.

The magnetoelastic problem for a superconducting cylinder with a concentric hole placed in a magnetic field is investigated, where the flux creep and viscous flux flow have been considered. The stress distributions are derived and numerical calculated for the descending field in both the zero-field cooling (ZFC) and field cooling (FC) processes. The effects of applied magnetic field, flux creep and viscous flux flow on the maximal radial and hoop stresses are discussed in detail, and some novel phenomena are found. Among others, for the FC case, the maximal hoop tensile stress always occurs at the hole edge, whist for the ZFC case, the maximal stresses including both hoop and radial stresses either occur in the vicinity of the hole or occur at the position of flux frontier in the remagnetization process. For the descending field, in general, both the flux creep and viscosity parameters have important effects on the maximal radial and hoop stresses. All these phenomena are perhaps of vital importance for the application of superconductors.