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.

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."

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.

Smart Material Structures
Smart Material Structures

Author: H. T. Banks

Publisher: Wiley

Published: 1997-03-13

Total Pages: 310

ISBN-13: 9780471970248

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Smart Material Structures addresses modeling parameter estimation and control in smart material systems. This has applications in structural systems, structural acoustics, fluid/structure interactions, vibration absorbers in machine, helicopter rotor design, and many other areas. This monograph discusses implementation and experimental changes with rigorous mathematical presentation. The authors provide a mathematical frame to be used when designing controllers, focusing on systems in which structural vibrations or interactions with adjacent fields are controlled using surface-mounted Piezoceramic actuators and sensors are correct in detail.

Smart Material Structures
Smart Material Structures

Author: H. Thomas Banks

Publisher: Elsevier Masson

Published: 1996

Total Pages: 328

ISBN-13:

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In this monograph, mathematical and computational investigations pertinent to scientific and engineering issues in the emerging field of smart materials are presented. A brief survey of basic mechanisms and questions related to various components (piezoelectric and electrostrictive elements, magnetostrictive transducers, ER fluids, shape memory alloys, fiber optics) of smart material structures is given. Attention is then focused on piezoceramic actuators and sensors. Care is given to the precise modeling of piezoceramic patch contributions (passive and active) in structures such as thin shells, plates and beams. Mathematical foundations for well-posedness, approximation, inverse problem and parameter estimation, and feedback control methodologies are discussed. Applications, including experimental validation of the efficacy of the ideas, are presented in the context of damage detection and characterization in structures, and in active control of structural vibrations and structure-borne noise.

Smart Modeling for Engineering Systems
Smart Modeling for Engineering Systems

Author: Igor B. Petrov

Publisher: Springer

Published: 2019-01-08

Total Pages: 348

ISBN-13: 3030062287

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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.

Mechanics and Model-Based Control of Smart Materials and Structures
Mechanics and Model-Based Control of Smart Materials and Structures

Author: Hans Irschik

Publisher: Springer Science & Business Media

Published: 2009-09-30

Total Pages: 222

ISBN-13: 321199484X

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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.

New Advances in Materials Technologies
New Advances in Materials Technologies

Author: Hossein Hariri Asli

Publisher: Apple Academic Press

Published: 2024-03

Total Pages: 0

ISBN-13: 9781003459262

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"This new volume examines the mathematical models and experimental methods for advanced engineering materials and structures. It also helps to determine practical applications under a wide range of conditions, helping to set up what is needed to produce a new generation of new materials. The diversity of such mathematical models and experimental methods applied for different types of advanced materials and structures and their behavior is highlighted in this volume. The subjects of the chapters in this book include geospatial information systems (GIS) and networked sensors modeling, mathematical modeling in fluid and solid mechanics, deformations in a nonlocal isotropic thermoelastic materials, optical properties of solid materials, nano-scale and modern energy materials and devices, and smart materials-based E-nose technology. New Advances in Materials Technologies: Experimental Characterizations, Theoretical Modeling and Field Practices is an essential reference that will be useful for researchers who specialize in advanced materials and structures, experimental mechanics of materials, mathematical modeling, and related fields of applied mathematics. This book is also suitable for post-graduate engineering students who need to have an overview on applied in mechanics of materials."--