Mathematical Models and Methods for Smart Material PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematical Models and Methods for Smart Material PDF full book. Access full book title Mathematical Models and Methods for Smart Material by Mauro Fabrizio. Download full books in PDF and EPUB format.
Author: Mauro Fabrizio
Publisher: World Scientific
ISBN: 9789812776273
Category : Mathematics
Languages : en
Pages : 404
Get Book Here
Book Description
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."
Author: Mauro Fabrizio
Publisher: World Scientific
ISBN: 9789812776273
Category : Mathematics
Languages : en
Pages : 404
Get Book Here
Book Description
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."
Author: Ralph C. Smith
Publisher: SIAM
ISBN: 0898715830
Category : Technology & Engineering
Languages : en
Pages : 522
Get Book Here
Book Description
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.
Author: C. T. Kelley
Publisher: SIAM
ISBN: 0898714338
Category : Mathematics
Languages : en
Pages : 184
Get Book Here
Book Description
a carefully selected group of methods for unconstrained and bound constrained optimization problems is analyzed in depth both theoretically and algorithmically. The book focuses on clarity in algorithmic description and analysis rather than generality, and also provides pointers to the literature for the most general theoretical results and robust software,
Author: Anne Greenbaum
Publisher: SIAM
ISBN: 9781611970937
Category : Mathematics
Languages : en
Pages : 235
Get Book Here
Book Description
Much recent research has concentrated on the efficient solution of large sparse or structured linear systems using iterative methods. A language loaded with acronyms for a thousand different algorithms has developed, and it is often difficult even for specialists to identify the basic principles involved. Here is a book that focuses on the analysis of iterative methods. The author includes the most useful algorithms from a practical point of view and discusses the mathematical principles behind their derivation and analysis. Several questions are emphasized throughout: Does the method converge? If so, how fast? Is it optimal, among a certain class? If not, can it be shown to be near-optimal? The answers are presented clearly, when they are known, and remaining important open questions are laid out for further study. Greenbaum includes important material on the effect of rounding errors on iterative methods that has not appeared in other books on this subject. Additional important topics include a discussion of the open problem of finding a provably near-optimal short recurrence for non-Hermitian linear systems; the relation of matrix properties such as the field of values and the pseudospectrum to the convergence rate of iterative methods; comparison theorems for preconditioners and discussion of optimal preconditioners of specified forms; introductory material on the analysis of incomplete Cholesky, multigrid, and domain decomposition preconditioners, using the diffusion equation and the neutron transport equation as example problems. A small set of recommended algorithms and implementations is included.
Author: Klaus Hollig
Publisher: SIAM
ISBN: 0898716993
Category : Mathematics
Languages : en
Pages : 152
Get Book Here
Book Description
An exploration of the new weighted approximation techniques which result from the combination of the finite element method and B-splines.
Author: Richard E. Ewing
Publisher: SIAM
ISBN: 0898716624
Category : Science
Languages : en
Pages : 195
Get Book Here
Book Description
This book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.
Author: Beatrice Riviere
Publisher: SIAM
ISBN: 089871656X
Category : Mathematics
Languages : en
Pages : 201
Get Book Here
Book Description
Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.
Author: P. Ponte Castaneda
Publisher: Springer Science & Business Media
ISBN: 1402026234
Category : Technology & Engineering
Languages : en
Pages : 371
Get Book Here
Book Description
Although several books and conference proceedings have already appeared dealing with either the mathematical aspects or applications of homogenization theory, there seems to be no comprehensive volume dealing with both aspects. The present volume is meant to fill this gap, at least partially, and deals with recent developments in nonlinear homogenization emphasizing applications of current interest. It contains thirteen key lectures presented at the NATO Advanced Workshop on Nonlinear Homogenization and Its Applications to Composites, Polycrystals and Smart Materials. The list of thirty one contributed papers is also appended. The key lectures cover both fundamental, mathematical aspects of homogenization, including nonconvex and stochastic problems, as well as several applications in micromechanics, thin films, smart materials, and structural and topology optimization. One lecture deals with a topic important for nanomaterials: the passage from discrete to continuum problems by using nonlinear homogenization methods. Some papers reveal the role of parameterized or Young measures in description of microstructures and in optimal design. Other papers deal with recently developed methods – both analytical and computational – for estimating the effective behavior and field fluctuations in composites and polycrystals with nonlinear constitutive behavior. All in all, the volume offers a cross-section of current activity in nonlinear homogenization including a broad range of physical and engineering applications. The careful reader will be able to identify challenging open problems in this still evolving field. For instance, there is the need to improve bounding techniques for nonconvex problems, as well as for solving geometrically nonlinear optimum shape-design problems, using relaxation and homogenization methods.
Author: Zhilin Li
Publisher: SIAM
ISBN: 0898716098
Category : Mathematics
Languages : en
Pages : 343
Get Book Here
Book Description
"This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--BOOK JACKET.
Author: H.S. Tzou
Publisher: Springer Science & Business Media
ISBN: 9401719039
Category : Science
Languages : en
Pages : 460
Get Book Here
Book Description
In recent years, "intelligent (sm. o. rt) structures antlllJ/stems" has become an emerging new research area that is multi-disciplinary in nature, requiring technical expertise from mechanical engineering, structural engineering, electrical engineering, applied mechanics, engineering mathematics, material science, computer science, biological science, etc. This technology is quite likely to contribute significant advancements in the design of high-performance structures, adaptive structures, high-precision systems, micro-systems, etc. Although this emerging area has been rapidly gathering momentum in the last few years, researchers are aware that to some extent only initial, but highly feasible studies of the concepts proposed have been conducted. It is obvious that many important, pertinent fundamental research subjects must yet be investigated and resolved in the near future. We have the privilege to invite a number of highly regarded research scientists and engineers to summarize and contribute the results of their years of research experience with the evolution of intelligent (smart) structures and systems to the collection of chapters contained in this book. Their research topics include current intelligent (smart) structures research activities, piezoelectric structures, shape memory alloy reinforced composites, applications of electrorheological fluids, intelligent sensor systems, adaptive precision trusses, damage detection, model refinement, control of axial moving continua, distributed transducers, etc. These subjects represent only a small portion of the complete picture; indeed, the fundamentally important development of smart or intelligent materials is not addressed in detail here.
