Pinning and minor loops in an inclusive model of ferromagnetic hysteresis

Pinning and minor loops are treated in an inclusive macroscopic model of ferromagnetic hysteresis. The model is developed from a Stoner-Wohlfarth approach and includes pinning effects, like the Jiles-Atherton model, Complicated sets of field turning points, typical of the Preisach model, are included. The extensions made here to the Stoner-Wohlfarth model, particularly the pinning effects, constitute a hypothetical study of ferromagnetism within the confines of an idealized numerical model, and do not necessarily correspond to the behavior of known magnetic materials. Computational approaches to two-dimensional calculations are outlined and results are given. The minor loops are seen to exhibit incongruence and eventual closure.