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  • Book
  • © 1994

Phase Transitions and Hysteresis

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 13 - 21, 1993

Editors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1584)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VII
  2. Hysteresis operators

    • Martin Brokate
    Pages 1-38
  3. Quasiplasticity and pseudoelasticity in shape memory alloys

    • Y. Huo, I. Müller, S. Seelecke
    Pages 87-146
  4. Variational methods in the stefan problem

    • José-Francisco Rodrigues
    Pages 147-212
  5. Back Matter

    Pages 286-295

About this book

1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques.
2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate.
3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.

Keywords

  • Numerical approximations
  • Phase Transition
  • Phase Transitions
  • free boundary problems
  • hysteresis
  • memory effects
  • numerical analysis
  • pahse transitions

Bibliographic Information

Buying options

eBook USD 44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions