Abstract
This chapter discusses different scalar magnetic hysteresis models that are valid for isotropic soft ferri- and ferromagnetic materials subjected to uniaxial magnetic excitations and uniaxial elastic stresses. Hereditary model that is preisach model, is described in the chapter. The Preisach model is currently recognized as a static scalar hysteresis model with well-defined properties and the more accurate prediction of minor loops. In addition, the mechanical state and in particular the stress state of the material have a great influence on its magnetic properties. Two different approaches are proposed to build a scalar Preisach-type hysteresis model that accounts for the influence of a uniaxial stress, which are explained in the chapter.
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