Differential Models of Hysteresis
(Sprache: Englisch)
Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. Modelling and mathematical analysis of hysteresis phenomena have been addressed by mathematicians only recently, but are now in full...
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Klappentext zu „Differential Models of Hysteresis “
Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. Modelling and mathematical analysis of hysteresis phenomena have been addressed by mathematicians only recently, but are now in full development. This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field. First the classical models of Prandtl, Ishlinskii, Preisach and Duhem are formulated and studied, using the concept of "hysteresis operator". A new model of discontinuous hysteresis is introduced. Several partial differential equations containing hysteresis operators are studied in the framework of Sobolev spaces.
Inhaltsverzeichnis zu „Differential Models of Hysteresis “
Reader's Guide.- Historical Notes.- I. Genesis of Hysteresis.- II. Rheological and Circuital Models.- III. Plays, Stops and Prandtl-Ishlinski? Models.- IV. The Preisach Model.- V. The Duhem Model.- VI. Discontinuous Hysteresis.- VII. P.D.E. Models of Elasto-Plasticity.- VIII. Hysteresis and Semigroups.- IX. Quasilinear P.D.E.s with Memory.- X. Semilinear P.D.E.s with Memory.- XI. P.D.E.s with Discontinuous Hysteresis.- XII. Some Tools.- Conclusion.
Bibliographische Angaben
- Autor: Augusto Visintin
- 2010, Softcover reprint of hardcover 1st ed. 1994, XII, 412 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3642081320
- ISBN-13: 9783642081323
Sprache:
Englisch
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