Phase Transitions and Hysteresis
Brokate, M.
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 / [electronic resource] : by M. Brokate, Yong Zhong Huo, Noboyuki Kenmochi, Ingo Müller, José F. Rodriguez, Claudio Verdi ; edited by Augusto Visintin. - VIII, 296 p. online resource. - C.I.M.E. Foundation Subseries ; 1584 . - C.I.M.E. Foundation Subseries ; 1584 .
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.
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.
9783540486787
10.1007/BFb0073393 doi
Mathematics.
Numerical analysis.
Global analysis (Mathematics).
Mechanics.
Applications of Mathematics.
Condensed Matter Physics.
Numerical Analysis.
Analysis.
Theoretical, Mathematical and Computational Physics.
Classical Mechanics.
T57-57.97
519
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 / [electronic resource] : by M. Brokate, Yong Zhong Huo, Noboyuki Kenmochi, Ingo Müller, José F. Rodriguez, Claudio Verdi ; edited by Augusto Visintin. - VIII, 296 p. online resource. - C.I.M.E. Foundation Subseries ; 1584 . - C.I.M.E. Foundation Subseries ; 1584 .
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.
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.
9783540486787
10.1007/BFb0073393 doi
Mathematics.
Numerical analysis.
Global analysis (Mathematics).
Mechanics.
Applications of Mathematics.
Condensed Matter Physics.
Numerical Analysis.
Analysis.
Theoretical, Mathematical and Computational Physics.
Classical Mechanics.
T57-57.97
519