Hysteresis and Phase Transitions (Hardcover, 1996 ed.)

This monograph contributes to the mathematical analysis of systems exhibiting hysteresis effects and phase transitions. Its main part begins with a detailed study of models for scalar rate independent hysteresis in the form of hysteresis operators. Applications to ferromagnetism, elastoplasticity and fatigue analysis are presented, and two representative distributed systems with hysteresis operator are discussed. The attention then shifts to the mechanisms of energy dissipation and transformation that induce a hysteretic behavior in continuous media undergoing phase transitions. After an introduction to phenomenological thermodynamic theories of phase transitions, in particular, the Landau-Ginzburg theory and phase field models, several specific models are discussed in detail. These include Falk's model for the hysteresis in shape memory alloys and the phase field models due to Caginalp and Penrose-Fife. The latter are studied both for conserved and non-conserved order parameters. A chapter presenting a mathematical model for the austenite-pearlite and austenite-martensite phase transitions in eutectoid carbon steels concludes the book.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Applied Mathematical Sciences, 121
Release date:	June 1996
First published:	1996
Authors:	Martin Brokate • Jurgen Sprekels
Dimensions:	234 x 156 x 22mm (L x W x T)
Format:	Hardcover
Pages:	358
Edition:	1996 ed.
ISBN-13:	978-0-387-94763-1
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Physics > Electricity, magnetism & electromagnetism Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	0-387-94763-9
Barcode:	9780387947631

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