SIAM Review · 1993 · 493 citations · 37 references
Applied Mathematical ModellingEngineeringContemporary WorkersModern TreatmentsNumerical SimulationMechanical SystemsClassical ModelsHysteresisNonlinear Mechanical SystemMathematical Models
The various existing classical models for hysteresis, Preisach, Ishlinskii, Duhem–Madelung, are surveyed, as well a more modern treatments by contemporary workers. The emphasis is on a clear mathematical description of the formulation and properties of each model. In addition the authors try to make the reader aware of the many open questions in the study of hysteresis.
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