Pinning and minor loops in an inclusive model of ferromagnetic hysteresis

Pinning and minor loops are treated in an inclusive macroscopic model of fe rromagnetic hysteresis. The model is developed from a Stoner-Wohlfarth appr oach and includes pinning effects, like the Jiles-Atherton model. Complicat ed sets of field turning points, typical of the Preisach model, are include d, 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 corres pond to the behavior of known magnetic materials. Computational approaches to two-dimensional calculations are outlined and results are given, The min or loops are seen to exhibit incongruenc and eventual closure.