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.


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 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


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 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:


Mathematical and Computational Techniques for Multilevel Adaptive Methods

Mathematical and Computational Techniques for Multilevel Adaptive Methods

Author: Ulrich Ruede

Publisher: SIAM

Published: 1993-01-01

Total Pages: 152

ISBN-13: 089871320X

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This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures.


Book Synopsis Mathematical and Computational Techniques for Multilevel Adaptive Methods by : Ulrich Ruede

Download or read book Mathematical and Computational Techniques for Multilevel Adaptive Methods written by Ulrich Ruede and published by SIAM. This book was released on 1993-01-01 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures.


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


Advanced Methods of Continuum Mechanics for Materials and Structures

Advanced Methods of Continuum Mechanics for Materials and Structures

Author: Konstantin Naumenko

Publisher: Springer

Published: 2016-05-12

Total Pages: 558

ISBN-13: 9811009597

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This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.


Book Synopsis Advanced Methods of Continuum Mechanics for Materials and Structures by : Konstantin Naumenko

Download or read book Advanced Methods of Continuum Mechanics for Materials and Structures written by Konstantin Naumenko and published by Springer. This book was released on 2016-05-12 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.


Fabrication and Machining of Advanced Materials and Composites

Fabrication and Machining of Advanced Materials and Composites

Author: Subhash Singh

Publisher: CRC Press

Published: 2022-10-21

Total Pages: 311

ISBN-13: 1000755851

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This reference text discusses processing, structure, and properties of metal matrix composites, polymer matrix composites, and ceramic matrix composites for applications in high end engineering equipment, biomedical and nano-biotechnology areas. The text begins by discussing fundamentals, classification, designing and fabrication of composite materials, followed by ultrasonic vibration assisted machining of advanced materials, fabrication of transparent advanced composites, fabrication of composites via microwave sintering, and hybrid machining of metal-matrix composites. It covers important topics including fabrication of shape-memory polymers, additive manufacturing for the fabrication of composites, 3D printing processes for biomedical applications, and ultrasonic vibration assisted machining of advanced materials. The text will be useful for undergraduate, graduate students, and academic researchers in areas including materials science, mechanical engineering, manufacturing science, aerospace engineering, electronics and communication engineering The book- Covers processing, structure, and properties of metal matrix composites, polymer matrix composites, and ceramic matrix composites. Discusses nano materials and their potential applications in the area of biomedical and nano-biotechnology. Provides modern processing techniques to synthesize advance materials. Explores applicability of the materials using mechanical, chemical, thermal and electrical tests. Discussing advanced materials, their manufacturing techniques and applications in diverse areas including automotive, aerospace engineering, biomedical, this text will be useful for undergraduate, graduate students, and academic researchers in areas including materials science, mechanical engineering, manufacturing science, aerospace engineering, electronics and communication engineering. It will further discuss electro discharge machining of steels using chromium alloy-based electrodes, and advanced machining techniques for hard materials.


Book Synopsis Fabrication and Machining of Advanced Materials and Composites by : Subhash Singh

Download or read book Fabrication and Machining of Advanced Materials and Composites written by Subhash Singh and published by CRC Press. This book was released on 2022-10-21 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference text discusses processing, structure, and properties of metal matrix composites, polymer matrix composites, and ceramic matrix composites for applications in high end engineering equipment, biomedical and nano-biotechnology areas. The text begins by discussing fundamentals, classification, designing and fabrication of composite materials, followed by ultrasonic vibration assisted machining of advanced materials, fabrication of transparent advanced composites, fabrication of composites via microwave sintering, and hybrid machining of metal-matrix composites. It covers important topics including fabrication of shape-memory polymers, additive manufacturing for the fabrication of composites, 3D printing processes for biomedical applications, and ultrasonic vibration assisted machining of advanced materials. The text will be useful for undergraduate, graduate students, and academic researchers in areas including materials science, mechanical engineering, manufacturing science, aerospace engineering, electronics and communication engineering The book- Covers processing, structure, and properties of metal matrix composites, polymer matrix composites, and ceramic matrix composites. Discusses nano materials and their potential applications in the area of biomedical and nano-biotechnology. Provides modern processing techniques to synthesize advance materials. Explores applicability of the materials using mechanical, chemical, thermal and electrical tests. Discussing advanced materials, their manufacturing techniques and applications in diverse areas including automotive, aerospace engineering, biomedical, this text will be useful for undergraduate, graduate students, and academic researchers in areas including materials science, mechanical engineering, manufacturing science, aerospace engineering, electronics and communication engineering. It will further discuss electro discharge machining of steels using chromium alloy-based electrodes, and advanced machining techniques for hard materials.


Smart Materials and Structures

Smart Materials and Structures

Author: Peter L. Reece

Publisher: Nova Publishers

Published: 2007

Total Pages: 306

ISBN-13: 9781600211072

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"Smart" materials respond to environmental stimuli with particular changes in some variables. For that reason they are often also called responsive materials. Depending on changes in some external conditions, "smart" materials change either their properties (mechanical, electrical, appearance), their structure or composition, or their functions. Mostly, "smart" materials are embedded in systems whose inherent properties can be favourably changed to meet performance needs. Smart materials and structures have widespread applications in: 1. Materials science: composites, ceramics, processing science, interface science, sensor/actuator materials, chiral materials, conducting and chiral polymers, electrochromic materials, liquid crystals, molecular-level smart materials, biomaterials. 2. Sensing and actuation: electromagnetic, acoustic, chemical and mechanical sensing and actuation, single-measurand sensors, multiplexed multimeasurand distributed sensors and actuators, sensor/actuator signal processing, compatibility of sensors and actuators with conventional and advanced materials, smart sensors for materials and composites processing. 3. Optics and electromagnetics: optical fibre technology, active and adaptive optical systems and components, tunable high-dielectric phase shifters, tunable surface control. 4. Structures: smart skins for drag and turbulence control, other applications in aerospace/hydrospace structures, civil infrastructures, transportation vehicles, manufacturing equipment, repairability and maintainability. 5. Control: structural acoustic control, distributed control, analogue and digital feedback control, real-time implementation, adaptive structure stability, damage implications for structural control. 6. Information processing: neural networks, data processing, data visualisation and reliability. This book presents leading new research from around the globe in this field.


Book Synopsis Smart Materials and Structures by : Peter L. Reece

Download or read book Smart Materials and Structures written by Peter L. Reece and published by Nova Publishers. This book was released on 2007 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Smart" materials respond to environmental stimuli with particular changes in some variables. For that reason they are often also called responsive materials. Depending on changes in some external conditions, "smart" materials change either their properties (mechanical, electrical, appearance), their structure or composition, or their functions. Mostly, "smart" materials are embedded in systems whose inherent properties can be favourably changed to meet performance needs. Smart materials and structures have widespread applications in: 1. Materials science: composites, ceramics, processing science, interface science, sensor/actuator materials, chiral materials, conducting and chiral polymers, electrochromic materials, liquid crystals, molecular-level smart materials, biomaterials. 2. Sensing and actuation: electromagnetic, acoustic, chemical and mechanical sensing and actuation, single-measurand sensors, multiplexed multimeasurand distributed sensors and actuators, sensor/actuator signal processing, compatibility of sensors and actuators with conventional and advanced materials, smart sensors for materials and composites processing. 3. Optics and electromagnetics: optical fibre technology, active and adaptive optical systems and components, tunable high-dielectric phase shifters, tunable surface control. 4. Structures: smart skins for drag and turbulence control, other applications in aerospace/hydrospace structures, civil infrastructures, transportation vehicles, manufacturing equipment, repairability and maintainability. 5. Control: structural acoustic control, distributed control, analogue and digital feedback control, real-time implementation, adaptive structure stability, damage implications for structural control. 6. Information processing: neural networks, data processing, data visualisation and reliability. This book presents leading new research from around the globe in this field.