Mathematical Models And Methods For Smart Materials

Mathematical Models And Methods For Smart Materials

Author: Mauro Fabrizio

Publisher: World Scientific

Published: 2002-12-16

Total Pages: 396

ISBN-13: 9814487007

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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.


Book Synopsis Mathematical Models And Methods For Smart Materials by : Mauro Fabrizio

Download or read book Mathematical Models And Methods For Smart Materials written by Mauro Fabrizio and published by World Scientific. This book was released on 2002-12-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Material Systems

Smart Material Systems

Author: Ralph C. Smith

Publisher: SIAM

Published: 2005-03-01

Total Pages: 522

ISBN-13: 0898715830

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This book describes several novel applications currently under investigation that exploit the unique actuator and sensor capabilities of smart material compounds. In addition to present and projected applications, this book provides comprehensive coverage of both linear and nonlinear modeling techniques necessary to characterize materials in a manner that facilitates transducer design and control development. The author focuses on ferroelectric, magnetic, and shape memory compounds and also addresses applications exploiting amorphous and ionic polymers, magnetorheological compounds, and fiber optic sensors. By providing a unified treatment of both linear and nonlinear characterization frameworks, Smart Material Systems: Model Development encompasses both low to moderate drive levels, which constitute the primary focus of most present texts, and the high drive regimes dictated by present and future applications. This will significantly enhance the design of transducers and control systems which exploit the unique actuator and sensor capabilities provided by smart material compounds.


Book Synopsis Smart Material Systems by : Ralph C. Smith

Download or read book Smart Material Systems written by Ralph C. Smith and published by SIAM. This book was released on 2005-03-01 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes several novel applications currently under investigation that exploit the unique actuator and sensor capabilities of smart material compounds. In addition to present and projected applications, this book provides comprehensive coverage of both linear and nonlinear modeling techniques necessary to characterize materials in a manner that facilitates transducer design and control development. The author focuses on ferroelectric, magnetic, and shape memory compounds and also addresses applications exploiting amorphous and ionic polymers, magnetorheological compounds, and fiber optic sensors. By providing a unified treatment of both linear and nonlinear characterization frameworks, Smart Material Systems: Model Development encompasses both low to moderate drive levels, which constitute the primary focus of most present texts, and the high drive regimes dictated by present and future applications. This will significantly enhance the design of transducers and control systems which exploit the unique actuator and sensor capabilities provided by smart material compounds.


Mathematical Models and Methods for Smart Materials

Mathematical Models and Methods for Smart Materials

Author: Mauro Fabrizio

Publisher: World Scientific

Published: 2002

Total Pages: 396

ISBN-13: 9812382356

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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 fo 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. Contents: Automatic Control Problems for Integrodifferential Parabolic Equations (C Cavaterra);Phase Relaxation Problems with Memory and Their Optimal Control (P Colli); Unified Dynamics of Particles and Photons (G Ferrarese); Solid-Solid Phase Transition in a Mechanical System (G Gilardi); KAM Methods for Nonautonomous


Book Synopsis Mathematical Models and Methods for Smart Materials by : Mauro Fabrizio

Download or read book Mathematical Models and Methods for Smart Materials written by Mauro Fabrizio and published by World Scientific. This book was released on 2002 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 fo 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. Contents: Automatic Control Problems for Integrodifferential Parabolic Equations (C Cavaterra);Phase Relaxation Problems with Memory and Their Optimal Control (P Colli); Unified Dynamics of Particles and Photons (G Ferrarese); Solid-Solid Phase Transition in a Mechanical System (G Gilardi); KAM Methods for Nonautonomous


Mathematical Models and Methods for Smart Material

Mathematical Models and Methods for Smart Material

Author: Mauro Fabrizio

Publisher: World Scientific

Published: 2002

Total Pages: 404

ISBN-13: 9789812776273

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This book contains the papers presented at the conference on OC Mathematical Models and Methods for Smart MaterialsOCO, held in Italy in 2001. The papers are divided into four parts: OCOMethods in Materials ScienceOCO 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.OCOModelling of Smart MaterialsOCO 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.OCOWell-Posedness in Materials with MemoryOCO 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.OCOAnalytic Problems in Phase TransitionsOCO 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."


Book Synopsis Mathematical Models and Methods for Smart Material by : Mauro Fabrizio

Download or read book Mathematical Models and Methods for Smart Material written by Mauro Fabrizio and published by World Scientific. This book was released on 2002 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers presented at the conference on OC Mathematical Models and Methods for Smart MaterialsOCO, held in Italy in 2001. The papers are divided into four parts: OCOMethods in Materials ScienceOCO 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.OCOModelling of Smart MaterialsOCO 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.OCOWell-Posedness in Materials with MemoryOCO 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.OCOAnalytic Problems in Phase TransitionsOCO 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."


Mathematical Models and Methods for Smart Material

Mathematical Models and Methods for Smart Material

Author:

Publisher:

Published: 2002

Total Pages: 0

ISBN-13:

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Book Synopsis Mathematical Models and Methods for Smart Material by :

Download or read book Mathematical Models and Methods for Smart Material written by and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Smart Materials Taxonomy

Smart Materials Taxonomy

Author: Victor Goldade

Publisher: CRC Press

Published: 2015-10-22

Total Pages: 266

ISBN-13: 1498716202

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Smart materials have been categorized employing taxonomical methods used in classification of cybernetics systems. This approach has allowed the systematization of the variety of smart materials (both developed and conceptualized) as well to substantiate the three-stage process of the materials' making. This book proposes a phenomenological model d


Book Synopsis Smart Materials Taxonomy by : Victor Goldade

Download or read book Smart Materials Taxonomy written by Victor Goldade and published by CRC Press. This book was released on 2015-10-22 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smart materials have been categorized employing taxonomical methods used in classification of cybernetics systems. This approach has allowed the systematization of the variety of smart materials (both developed and conceptualized) as well to substantiate the three-stage process of the materials' making. This book proposes a phenomenological model d


Nonlinear Science And Complexity - Proceedings Of The Conference

Nonlinear Science And Complexity - Proceedings Of The Conference

Author: Albert C J Luo

Publisher: World Scientific

Published: 2006-12-09

Total Pages: 556

ISBN-13: 9814476331

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This volume provides useful tools in Lie group analysis to solve nonlinear partial differential equations. Many of important issues in nonlinear wave dynamics and nonlinear fluid mechanics are presented: Homotopy techniques are used to obtain analytical solutions; fundamental problems and theories in classic and quantum dynamical systems are discussed; and numerous interesting results about dynamics and vibration in sensor and smart systems are presented. Interval computation and nonlinear modeling in dynamics and control are also briefly included.


Book Synopsis Nonlinear Science And Complexity - Proceedings Of The Conference by : Albert C J Luo

Download or read book Nonlinear Science And Complexity - Proceedings Of The Conference written by Albert C J Luo and published by World Scientific. This book was released on 2006-12-09 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides useful tools in Lie group analysis to solve nonlinear partial differential equations. Many of important issues in nonlinear wave dynamics and nonlinear fluid mechanics are presented: Homotopy techniques are used to obtain analytical solutions; fundamental problems and theories in classic and quantum dynamical systems are discussed; and numerous interesting results about dynamics and vibration in sensor and smart systems are presented. Interval computation and nonlinear modeling in dynamics and control are also briefly included.


Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

Author: Pierluigi Colli

Publisher: Springer

Published: 2017-11-03

Total Pages: 571

ISBN-13: 3319644890

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This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.


Book Synopsis Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs by : Pierluigi Colli

Download or read book Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs written by Pierluigi Colli and published by Springer. This book was released on 2017-11-03 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.


Mathematical Reviews

Mathematical Reviews

Author:

Publisher:

Published: 2005

Total Pages: 1084

ISBN-13:

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Smart Material Systems and MEMS

Smart Material Systems and MEMS

Author: Vijay K. Varadan

Publisher: John Wiley & Sons

Published: 2006-11-02

Total Pages: 418

ISBN-13: 0470093625

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Presenting unified coverage of the design and modeling of smart micro- and macrosystems, this book addresses fabrication issues and outlines the challenges faced by engineers working with smart sensors in a variety of applications. Part I deals with the fundamental concepts of a typical smart system and its constituent components. Preliminary fabrication and characterization concepts are introduced before design principles are discussed in detail. Part III presents a comprehensive account of the modeling of smart systems, smart sensors and actuators. Part IV builds upon the fundamental concepts to analyze fabrication techniques for silicon-based MEMS in more detail. Practicing engineers will benefit from the detailed assessment of applications in communications technology, aerospace, biomedical and mechanical engineering. The book provides an essential reference or textbook for graduates following a course in smart sensors, actuators and systems.


Book Synopsis Smart Material Systems and MEMS by : Vijay K. Varadan

Download or read book Smart Material Systems and MEMS written by Vijay K. Varadan and published by John Wiley & Sons. This book was released on 2006-11-02 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting unified coverage of the design and modeling of smart micro- and macrosystems, this book addresses fabrication issues and outlines the challenges faced by engineers working with smart sensors in a variety of applications. Part I deals with the fundamental concepts of a typical smart system and its constituent components. Preliminary fabrication and characterization concepts are introduced before design principles are discussed in detail. Part III presents a comprehensive account of the modeling of smart systems, smart sensors and actuators. Part IV builds upon the fundamental concepts to analyze fabrication techniques for silicon-based MEMS in more detail. Practicing engineers will benefit from the detailed assessment of applications in communications technology, aerospace, biomedical and mechanical engineering. The book provides an essential reference or textbook for graduates following a course in smart sensors, actuators and systems.