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Books > Science & Mathematics > Physics > Electricity, magnetism & electromagnetism
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Hysteresis and Phase Transitions (Hardcover, 1996 ed.)
Loot Price: R2,987
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Hysteresis and Phase Transitions (Hardcover, 1996 ed.)
Series: Applied Mathematical Sciences, 121
Expected to ship within 10 - 15 working days
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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.
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