Mathematical models and methods for smart materials: Cortona, Italy, 25-29 June 2001
This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials", held in Italy in 2001. The papers are divided into four parts: "Methods in Materials Science" deals mainly with mathematical techniques for the investigation of phy...
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| Körperschaft: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2002
|
| Schriftenreihe: | Series on advances in mathematics for applied sciences
v. 62 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials", held in Italy in 2001. The papers are divided into four parts: "Methods in Materials Science" deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems. "Modelling of Smart Materials" is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties. "Well-Posedness in Materials with Memory" deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations. "Analytic Problems in Phase Transitions" discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition |
| Beschreibung: | xv, 374 p. ill., port |
| ISBN: | 9789812776273 |
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| 245 | 1 | 0 | |a Mathematical models and methods for smart materials |b Cortona, Italy, 25-29 June 2001 |c editors, Mauro Fabrizio, Barbara Lazzari, Angelo Morro |
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| 520 | |a This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials", held in Italy in 2001. The papers are divided into four parts: "Methods in Materials Science" deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems. "Modelling of Smart Materials" is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties. "Well-Posedness in Materials with Memory" deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations. "Analytic Problems in Phase Transitions" discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition | ||
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| id | DE-604.BV044635055 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9789812776273 |
| language | English |
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| spelling | INdAM Meeting Mathematical Models and Methods for Smart Materials <2001, Cortona, Italy> Verfasser aut Mathematical models and methods for smart materials Cortona, Italy, 25-29 June 2001 editors, Mauro Fabrizio, Barbara Lazzari, Angelo Morro Singapore World Scientific Pub. Co. c2002 xv, 374 p. ill., port txt rdacontent c rdamedia cr rdacarrier Series on advances in mathematics for applied sciences v. 62 This book contains the papers presented at the conference on "Mathematical Models and Methods for Smart Materials", held in Italy in 2001. The papers are divided into four parts: "Methods in Materials Science" deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems. "Modelling of Smart Materials" is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties. "Well-Posedness in Materials with Memory" deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations. "Analytic Problems in Phase Transitions" discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition Smart materials / Mathematical models / Congresses Fabrizio, Mauro 1940- Sonstige oth Lazzari, Barbara Sonstige oth Morro, Angelo 1946- Sonstige oth Erscheint auch als Druck-Ausgabe 9789812382351 Erscheint auch als Druck-Ausgabe 9812382356 http://www.worldscientific.com/worldscibooks/10.1142/5162#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Mathematical models and methods for smart materials Cortona, Italy, 25-29 June 2001 Smart materials / Mathematical models / Congresses |
| title | Mathematical models and methods for smart materials Cortona, Italy, 25-29 June 2001 |
| title_auth | Mathematical models and methods for smart materials Cortona, Italy, 25-29 June 2001 |
| title_exact_search | Mathematical models and methods for smart materials Cortona, Italy, 25-29 June 2001 |
| title_full | Mathematical models and methods for smart materials Cortona, Italy, 25-29 June 2001 editors, Mauro Fabrizio, Barbara Lazzari, Angelo Morro |
| title_fullStr | Mathematical models and methods for smart materials Cortona, Italy, 25-29 June 2001 editors, Mauro Fabrizio, Barbara Lazzari, Angelo Morro |
| title_full_unstemmed | Mathematical models and methods for smart materials Cortona, Italy, 25-29 June 2001 editors, Mauro Fabrizio, Barbara Lazzari, Angelo Morro |
| title_short | Mathematical models and methods for smart materials |
| title_sort | mathematical models and methods for smart materials cortona italy 25 29 june 2001 |
| title_sub | Cortona, Italy, 25-29 June 2001 |
| topic | Smart materials / Mathematical models / Congresses |
| topic_facet | Smart materials / Mathematical models / Congresses |
| url | http://www.worldscientific.com/worldscibooks/10.1142/5162#t=toc |
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