A self consistent generalized model for the calculation of minor loop excursions in the theory of hysteresis
In the previous work it has been shown that the magnetization curves of a wide range of ferromagnetic materials can be calculated from a simple theory which invokes a constant energy loss per unit change in magnetization. The energy loss, which is therefore proportional to the change in magnetization, leads to hysteresis loops which are obtained from first principles. In the paper it will be shown how the model has been generalized to provide completely self consistent minor hysteresis loop excursions. By minor loop we mean any excursion for which either the range of magnetization {Delta}M or the range of magnetic field {Delta}H is not symmetric about zero. The resulting model solutions show that both crossing and partially coincident minor loops emerge naturally form the theory. This is known to occur in experimental observations and has been noted by Mayergoyz. The generalization of the theory of hysteresis to cover the minor loop excursions has resulted from the use of an effective volume fraction of active domains determined from the location of the minor loop reversal points on the M,H plane. Such a concept is well known in the use of Preisach models for describing hysteresis. This paper describes a generalization of the theory of hysteresis to cover asymmetric, or minor hysteresis loop excursions. The original description of the model was found to be particularly useful because it enabled hysteresis loops of magnetic materials to be successfully modelled with a limited set of only five physically based parameters. The extension of the model presented here is completely self consistent with the original formulation and requires no additional parameters to describe the minor loops. 7 refs.
- Research Organization:
- Ames Lab., IA (United States)
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-82
- OSTI ID:
- 5170450
- Report Number(s):
- IS-M-711; CONF-920408-2; ON: DE92014394
- Resource Relation:
- Conference: International magnetics conference, St. Louis, MO (United States), 13-16 Apr 1992
- Country of Publication:
- United States
- Language:
- English
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