Differential Models of Hysteresis
Author:   Augusto Visintin
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1994 ed.
Volume:   111
ISBN:  

9783540547938


Pages:   412
Publication Date:   28 December 1994
Format:   Hardback
Availability:   In Print   Availability explained
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Differential Models of Hysteresis


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Overview

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.

Full Product Details

Author:   Augusto Visintin
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1994 ed.
Volume:   111
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   1.710kg
ISBN:  

9783540547938


ISBN 10:   3540547932
Pages:   412
Publication Date:   28 December 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

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