Mathematical Models And Methods For Smart Material
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Mathematical Models And Methods For Smart Materials
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Author : Mauro Fabrizio
language : en
Publisher: World Scientific
Release Date : 2002-12-16
Mathematical Models And Methods For Smart Materials written by Mauro Fabrizio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-16 with Science categories.
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
Mathematical Models And Methods For Smart Material
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Author :
language : en
Publisher:
Release Date : 2002
Mathematical Models And Methods For Smart Material written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematical models categories.
Mathematical Models And Methods For Smart Material
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Author : Mauro Fabrizio
language : en
Publisher: World Scientific
Release Date : 2002
Mathematical Models And Methods For Smart Material written by Mauro Fabrizio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
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."
Smart Material Systems
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Author : Ralph C. Smith
language : en
Publisher: SIAM
Release Date : 2005-03-01
Smart Material Systems written by Ralph C. Smith and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-01 with Technology & Engineering categories.
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
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Author : Mauro Fabrizio
language : en
Publisher: World Scientific
Release Date : 2002
Mathematical Models And Methods For Smart Materials written by Mauro Fabrizio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
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
Advanced Thermal Stress Analysis Of Smart Materials And Structures
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Author : Zengtao Chen
language : en
Publisher: Springer Nature
Release Date : 2019-09-03
Advanced Thermal Stress Analysis Of Smart Materials And Structures written by Zengtao Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-03 with Science categories.
This is the first single volume monograph that systematically summarizes the recent progress in using non-Fourier heat conduction theories to deal with the multiphysical behaviour of smart materials and structures. The book contains six chapters and starts with a brief introduction to Fourier and non-Fourier heat conduction theories. Non-Fourier heat conduction theories include Cattaneo-Vernotte, dual-phase-lag (DPL), three-phase-lag (TPL), fractional phase-lag, and nonlocal phase-lag heat theories. Then, the fundamentals of thermal wave characteristics are introduced through reviewing the methods for solving non-Fourier heat conduction theories and by presenting transient heat transport in representative homogeneous and advanced heterogeneous materials. The book provides the fundamentals of smart materials and structures, including the background, application, and governing equations. In particular, functionally-graded smart structures made of piezoelectric, piezomagnetic, and magnetoelectroelastic materials are introduced as they represent the recent development in the industry. A series of uncoupled thermal stress analyses on one-dimensional structures are also included. The volume ends with coupled thermal stress analyses of one-dimensional homogenous and heterogeneous smart piezoelectric structures considering different coupled thermopiezoelectric theories. Last but not least, fracture behavior of smart structures under thermal disturbance is investigated and the authors propose directions for future research on the topic of multiphysical analysis of smart materials.
Smart Materials Taxonomy
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Author : Victor Goldade
language : en
Publisher: CRC Press
Release Date : 2015-10-22
Smart Materials Taxonomy written by Victor Goldade and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-22 with Technology & Engineering categories.
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.
Mechanics And Model Based Control Of Smart Materials And Structures
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Author : Hans Irschik
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-30
Mechanics And Model Based Control Of Smart Materials And Structures written by Hans Irschik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-30 with Technology & Engineering categories.
Mechanics and model-based control are both rapidly expanding scientific fields and fundamental disciplines of mechatronics, sharing demanding mathematical and system-theoretic formulations and methods. The papers in this volume deal with smart materials, which allow the design and implementation of new types of actuator/sensor fields and networks. Main topics treated are fundamental studies on laminated, composite and functionally graded materials, thermal and piezoelectric actuation, active and passive damping, as well as vibrations and waves in smart structures. The book is based on the 1st Japanese-Austrian Workshop which took place in Linz in Fall 2008.
Topics On Mathematics For Smart Systems
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Author : Bernadette Miara
language : en
Publisher: World Scientific
Release Date : 2007
Topics On Mathematics For Smart Systems written by Bernadette Miara and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This volume gathers articles presented at a prominent European conference on smart systems and summarizes the activities carried out by a research and training network supported by the European community. The contributions aim to exhibit new research topics in the areas of materials science, advanced mathematical tools, and elements of control and numerical algorithms relevant to the design and optimization of smart systems.
Smart Modeling For Engineering Systems
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Author : Igor B. Petrov
language : en
Publisher: Springer
Release Date : 2019-01-08
Smart Modeling For Engineering Systems written by Igor B. Petrov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-08 with Technology & Engineering categories.
This book highlights the work of several world-class researchers on smart modeling of complex systems. The contributions are grouped into the four main categories listed below. · Numerical schemes construction for the solution of partial differential equations. · Numerical methods in continuum media mechanics problems. · Mathematical modeling in aerodynamics, plasma physics, deformable body mechanics, and geological hydrocarbon exploration. · Mathematical modeling in medical applications. The book offers a valuable resource for theoreticians and application scientists and engineers, as well as postgraduate students, in the fields of computational methods, numerical experiments, parallel algorithms, deformable solid bodies, seismic stability, seismic prospecting, migration, elastic and acoustic wave investigation, gas dynamics, astrophysics, aerodynamics, fluid dynamics, turbulent flows, hypersonic flows, detonation waves, composite materials, fracture mechanics, melting of metals, mathematical economics, medicine, and biology.