Interaction magnet - superconductor modelling: Coupled problem magnetodynamic - mechanic

Evolution of free‐boundaries conduction into a superconductor sphere in magnetic variable field

“…Unfortunately, three-dimensional eddy currents pose complex problems in solid superconductors, especially when the macroscopic Ohm's law is not well established (Bossavit, 1994). However, in an axisymmetrical system as for bearings, preliminary studies (You and Rhim, 1999;Ho Tam Fou and Bouillault, 2001), have shown the common directionw of the current densityj ¼ j •w and the electric fieldẽ ¼ e •w; j(e) is known as the Bean's law j ¼ j c •ẽ jej with constant critical current density associated (Bossavit, 1994;Sugiura et al, 1991) for e ¼ 0 to ›j=›t ¼ 0 (infinite conductivity) and is a well adapted Ohm's law (Figure 1). In Figure 1, the five conduction states are used in the following parts.…”