Magnetization curves for non-elliptic cylindrical samples in a transverse field

摘要

Using recent results for the surface current density on cylindrical surfaces of arbitrary cross-section producing uniform interior magnetic field and an assumed set of flux-fronts, solutions of Bean's critical state model for cylindrical samples with non-elliptic cross-section are presented. Magnetization hysteresis loops for two cross-sections with different aspect rations are obtained. A Comparison with some exact results shows the limitations of this approach.