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Electromagnetism of Continuous MediaMathematical Modelling and Applications$
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Mauro Fabrizio and Angelo Morro

Print publication date: 2003

Print ISBN-13: 9780198527008

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198527008.001.0001

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Magnetic hysteresis

Magnetic hysteresis

(p.581) Chapter 12 Magnetic hysteresis
Electromagnetism of Continuous Media

Mauro Fabrizio

Morro Angelo

Oxford University Press

Hysteresis is a phenomenon where nonlinearity and memory effects occur at the same time. This chapter describes a few models of magnetic hysteresis with particular emphasis on these two features. After a brief review of approaches within micromagnetics (Landau-Lifshitz equation) and domain wall motion (Langevin function), the general requirements for a model are established. Two rate-type bilinear models are examined in detail, which generalize a class of models named after Duhem. The connection with the models by Bouc and Preisach is also presented.

Keywords:   rate-type models, hysteresis loop, Preisach model, Duhem model, magnetic dipole

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