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
Published on 27. October 1994
Book
Paperback/Softback
VIII, 296 pages
978-3-540-58386-8 (ISBN)
Description
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.
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.
More details
Series
Edition
1994 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 296 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
464 gr
ISBN-13
978-3-540-58386-8 (9783540583868)
DOI
10.1007/BFb0073393
Schweitzer Classification
Persons
Content
Hysteresis operators.- Systems of nonlinear PDEs arising from dynamical phase transitions.- Quasiplasticity and pseudoelasticity in shape memory alloys.- Variational methods in the stefan problem.- Numerical aspects of parabolic free boundary and hysteresis problems.