Mathematical Models And Methods For Smart Material

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Mathematical Models and Methods for Smart Materials

Author : Mauro Fabrizio
Publisher : World Scientific
ISBN 13 : 9814487007
Total Pages : 396 pages
Book Rating : 4.8/5 (144 download)

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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. 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 Schrödinger Operators (S Graffi)Fractional Diffusion and Wave Equations (A Hanyga)Recovering a Memory Kernel in an Integrodifferential Stefan Problem (L Lorenzi)Balance Equations in Two-Fluid Models of Helium II (A Morro & M Fabrizio)A Non-Stationary Model in Superconductivity (R Nibbi & M Fabrizio)Some Remarks on the Conserved Penrose-Fife Phase Field Model with Memory Effects (E Rocca)Longterm Dynamics of a Conserved Phase-Field System with Memory (F M Vegni)and other papers Readership: Researchers and academics in mathematical modeling, mathematical physics, thermodynamics, low temperature physics and classical mechanics. Keywords:Materials with Fading Memory;Thermodynamics;PDE;Phase Transitions;Smart Materials

Smart Material Systems

Author : Ralph C. Smith
Publisher : SIAM
ISBN 13 : 0898715830
Total Pages : 522 pages
Book Rating : 4.8/5 (987 download)

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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

Author : Mauro Fabrizio
Publisher : World Scientific
ISBN 13 : 9789812776273
Total Pages : 404 pages
Book Rating : 4.7/5 (762 download)

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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

Author : Mauro Fabrizio
Publisher : World Scientific
ISBN 13 : 9812382356
Total Pages : 396 pages
Book Rating : 4.8/5 (123 download)

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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

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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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

Author : Victor Goldade
Publisher : CRC Press
ISBN 13 : 1498716202
Total Pages : 277 pages
Book Rating : 4.4/5 (987 download)

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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 277 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 describing smart materials.

Nonlinear Science and Complexity

Author :
Publisher :
ISBN 13 : 9814476331
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonlinear Science and Complexity by :

Download or read book Nonlinear Science and Complexity written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Mathematical Modeling and Experimental Methods for Materials and Structures

Author : Rivka Gilat
Publisher : Springer Science & Business Media
ISBN 13 : 9048134676
Total Pages : 329 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Advances in Mathematical Modeling and Experimental Methods for Materials and Structures by : Rivka Gilat

Download or read book Advances in Mathematical Modeling and Experimental Methods for Materials and Structures written by Rivka Gilat and published by Springer Science & Business Media. This book was released on 2009-12-18 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of cutting-edge papers, written by leading authors in honor of Professor Jacob Aboudi, covers a wide spectrum of topics in the field, presents both theoretical and experimental approaches, and suggests directions for possible future research.

Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure

Author : Carlo Cattani
Publisher : World Scientific
ISBN 13 : 9812709762
Total Pages : 473 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure by : Carlo Cattani

Download or read book Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure written by Carlo Cattani and published by World Scientific. This book was released on 2007 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three. All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials. Sample Chapter(s). Chapter 1: Introduction (121 KB). Contents: Wavelet Analysis; Materials with Micro- or Nanostructure; Waves in Materials; Simple and Solitary Waves in Materials; Solitary Waves and Elastic Waves. Readership: Advanced undergraduate and graduate students as well as experts in mathematical modeling, engineering mechanics and mechanics, physics; specialists in wavelet and wave analysis as tools for mathematical modeling.

Mathematical Methods And Models In Composites (Second Edition)

Author : Vladislav Mantic
Publisher : World Scientific
ISBN 13 : 1800611897
Total Pages : 731 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Mathematical Methods And Models In Composites (Second Edition) by : Vladislav Mantic

Download or read book Mathematical Methods And Models In Composites (Second Edition) written by Vladislav Mantic and published by World Scientific. This book was released on 2023-03-10 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods and Models in Composites (Second Edition) provides an in-depth treatment of modern and rigorous mathematical methods and models applied to composites modeling on the micro-, meso-, and macro scale. There has been a steady growth in the diversity of such methods and models that are used in the analysis and characterization of composites, their behavior, and their associated phenomena and processes. This second edition expands upon the success of the first edition, and has been substantially revised and updated.Written by well-known experts in different areas of applied mathematics, physics, and composite engineering, this book is mainly focused on continuous fiber reinforced composites and their ever increasing range of applications (for example, in the aerospace industry), though it also covers other kind of composites. The chapters cover a range of topics including, but not limited to: scaling and homogenization procedures in composites, thin plate and wave solutions in anisotropic materials, laminated structures, fiber-reinforced nonlinearly elastic solids, buckling and postbuckling, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing such as resin transfer molding. The results presented are useful for the design, fabrication, testing and industrial applications of composite components and structures.This book is an essential reference for graduate and doctoral students, as well as researchers in mathematics, physics and composite engineering. Explanations and references in the book are sufficiently detailed so as to provide the necessary background to further investigate the fascinating subject of composites modeling and explore relevant research literature. It is also suitable for non-experts who wish to have an overview of the mathematical methods and models used for composites, and of the open problems in this area that require further research.

Thermodynamics of Materials with Memory

Author : Giovambattista Amendola
Publisher : Springer Science & Business Media
ISBN 13 : 1461416922
Total Pages : 576 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Thermodynamics of Materials with Memory by : Giovambattista Amendola

Download or read book Thermodynamics of Materials with Memory written by Giovambattista Amendola and published by Springer Science & Business Media. This book was released on 2011-11-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is an introduction to Continuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and non-linear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored. The new concept of a minimal state is also introduced. Formulae derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimal state is analyzed in detail. Finally, free energies for examples of non-simple materials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing the dynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of minimal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems.

Motor Vehicle Dynamics: Modelling And Simulation

Author : Giancarlo Genta
Publisher : World Scientific
ISBN 13 : 9814497991
Total Pages : 552 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Motor Vehicle Dynamics: Modelling And Simulation by : Giancarlo Genta

Download or read book Motor Vehicle Dynamics: Modelling And Simulation written by Giancarlo Genta and published by World Scientific. This book was released on 1997-04-19 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book starts with an historical overview of road vehicles. The first part deals with the forces exchanged between the vehicle and the road and the vehicle and the air with the aim of supplying the physical facts and the relevant mathematical models about the forces which dominate the dynamics of the vehicle.The second part deals with the dynamic behaviour of the vehicle in normal driving conditions with some extensions towards conditions encountered in high-speed racing driving.

Advanced Mathematical and Computational Tools in Metrology VII

Author :
Publisher :
ISBN 13 : 9814478504
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Advanced Mathematical and Computational Tools in Metrology VII by :

Download or read book Advanced Mathematical and Computational Tools in Metrology VII written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied and Industrial Mathematics in Italy

Author :
Publisher :
ISBN 13 : 9814480126
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Applied and Industrial Mathematics in Italy by :

Download or read book Applied and Industrial Mathematics in Italy written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

Author : Pierluigi Colli
Publisher : Springer
ISBN 13 : 3319644890
Total Pages : 571 pages
Book Rating : 4.3/5 (196 download)

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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.

The Fermi-Pasta-Ulam Problem

Author : Giovanni Gallavotti
Publisher : Springer
ISBN 13 : 354072995X
Total Pages : 301 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Fermi-Pasta-Ulam Problem by : Giovanni Gallavotti

Download or read book The Fermi-Pasta-Ulam Problem written by Giovanni Gallavotti and published by Springer. This book was released on 2007-11-28 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews the current understanding of the Fermi-Pasta-Ulam (FPU) Problem without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions lead the interested but inexperienced reader through gradual understanding, starting from general analysis and proceeding towards more specialized topics. The volume also includes a reprint of the original Fermi-Pasta-Ulam paper.

Smart Material Systems and MEMS

Author : Vijay K. Varadan
Publisher : John Wiley & Sons
ISBN 13 : 0470093625
Total Pages : 418 pages
Book Rating : 4.4/5 (7 download)

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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.