Augusto Visintin

Differential Models of Hysteresis

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Applied Mathematical Sciences 111
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-08132-3
• Softcover reprint of hardcover 1st ed. 1994
• Seitenzahl: 428
• Erscheinungstermin: 1. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 24mm
• Gewicht: 676g
• ISBN-13: 9783642081323
• ISBN-10: 3642081320
• Artikelnr.: 32058203

Inhaltsangabe

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.