Nonlinear Electromechanical Effects And Applications

Author : G A Maugin
Publisher : World Scientific Publishing Company
Page : 184 pages
File Size : 54,8 Mb
Release : 1986-01-01
Category : Electronic
ISBN : 9789813104006

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Nonlinear Electromechanical Effects and Applications by G A Maugin Pdf

The book develops a cross-disciplinary approach to the phenomenon of linear and nonlinear wave propagation in piezoelectric crystals. Based on the rigorous presentation of nonlinear continuum mechanics and electromechanical interactions in anisotropic bodies, the work starts from primary principles, is progressive and develops the subject matter by means of worked out examples up to the most recent applications in signal processing, introducing the most efficient methods of applied mathematics. The attention is especially focused on phenomena such as the formation of shocks, the generation harmonics, the anisochronism of resonators, nonlinear surface waves, the convolution of signals by means of surface-wave guides, the nonlinear couling between the crystal and deformations, the compensation between dispersion and nonlinearity. The work should be of pedagogical and practical interest to graduate students and research workers in various fields of applied science and engineering. Request Inspection Copy

Author : Gérard A. Maugin
Publisher : World Scientific
Page : 168 pages
File Size : 40,7 Mb
Release : 1985
Category : Computers
ISBN : 9971500965

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Nonlinear Electromechanical Effects and Applications by Gérard A. Maugin Pdf

The book develops a cross-disciplinary approach to the phenomenon of linear and nonlinear wave propagation in piezoelectric crystals.Based on the rigorous presentation of nonlinear continuum mechanics and electromechanical interactions in anisotropic bodies, the work starts from primary principles, is progressive and develops the subject matter by means of worked out examples up to the most recent applications in signal processing, introducing the most efficient methods of applied mathematics.The attention is especially focused on phenomena such as the formation of shocks, the generation harmonics, the anisochronism of resonators, nonlinear surface waves, the convolution of signals by means of surface-wave guides, the nonlinear couling between the crystal and deformations, the compensation between dispersion and nonlinearity. The work should be of pedagogical and practical interest to graduate students and research workers in various fields of applied science and engineering.

Author : G. A. Maugin
Publisher : Unknown
Page : 424 pages
File Size : 46,6 Mb
Release : 1992-10-13
Category : Science
ISBN : UCAL:B4406271

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Nonlinear Electromechanical Couplings by G. A. Maugin Pdf

Offers an updated and rigorous treatise on most manifestations of nonlinear electromechanical couplings in dielectric media with applications to piezoelectric and ferroelectric crystals, piezoelectric powders and solutions of electrodeformable macromolecules. Presents a variety of static and dynamic nonlinear effects which have important engineering applications. Contains an insight into the nonlinear behavior of such new substances as ceramics, powders and ferroelectrics. Rigorous mathematical treatment includes hyberbolic systems, asymptotic expansions, singular perturbations, convexity and soliton theory.

Author : J. Engelbrecht
Publisher : Springer Science & Business Media
Page : 197 pages
File Size : 53,5 Mb
Release : 2013-04-17
Category : Technology & Engineering
ISBN : 9789401588911

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Nonlinear Wave Dynamics by J. Engelbrecht Pdf

At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.

Author : Gérard A. Maugin
Publisher : Unknown
Page : 328 pages
File Size : 44,8 Mb
Release : 1999
Category : Mathematics
ISBN : 0198534841

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Nonlinear Waves in Elastic Crystals by Gérard A. Maugin Pdf

The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. Students are introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.

Author : Michele Rosso
Publisher : Springer Nature
Page : 141 pages
File Size : 54,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9783031510465

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Intentional and Inherent Nonlinearities in Piezoelectric Energy Harvesting by Michele Rosso Pdf

Author : A. Jeffrey,J. Engelbrecht
Publisher : Springer
Page : 385 pages
File Size : 53,5 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709124444

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Nonlinear Waves in Solids by A. Jeffrey,J. Engelbrecht Pdf

Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.

Author : Jean Chamberlain Chedjou
Publisher : Unknown
Page : 130 pages
File Size : 53,5 Mb
Release : 2005
Category : Electronic
ISBN : 383223750X

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On the Analysis of Nonlinear Electromechanical Systems with Applications by Jean Chamberlain Chedjou Pdf

Author : A.D. Boardman,M. Bertolotti,T. Twardowski
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468458985

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Nonlinear Waves in Solid State Physics by A.D. Boardman,M. Bertolotti,T. Twardowski Pdf

This book is based on the contributions to the 17th International School of Materials Sci ence and Technology, entitled Nonlinear Waves in Solid State Physics. This was held as a NATO Advanced Study Institute at the Ettore Majorana Centre in Erice, Sicily between the st th 1 and 15 July 1989, and attracted almost 100 participants from over 20 different countries. The book covers the fundamental properties of nonlinear waves in solid state materials, dealing with both theory and experiment. The aim is to emphasise the methods underpinning the important new developments in this area. The material is organised into subject areas that can broadly be classified into the following groups: the theory of nonlinear surface and guided waves in self-focusing magnetic and non-magnetic materials; nonlinear effects at in terfaces; nonlinear acoustoelectronic and surface acoustic waves; Lagrangian and Hamiltonian formulations of nonlinear problems; nonlinear effects in optical fibres; resonance phenomena; and nonlinear integrated optics. The chapters have been grouped together according to these classifications as closely as possible, but it should be borne in mind that although there is much overlap of ideas, each chapter is essentially independent of the others. We would like to acknowledge the sponsorship of the NATO Scientific Affairs Division, the European Physical Society, the National Science Foundation of the USA, the European Research Office, the Italian Ministry of Education, the Italian Ministry of Scientific and Technological Research, the Sicilian Regional Government and the Ugo Bordoni Foundation.

Author : P.L. Christiansen,J.C. Eilbeck,R.D. Parmentier
Publisher : Springer Science & Business Media
Page : 549 pages
File Size : 46,9 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489916099

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Future Directions of Nonlinear Dynamics in Physical and Biological Systems by P.L. Christiansen,J.C. Eilbeck,R.D. Parmentier Pdf

Early in 1990 a scientific committee was formed for the purpose of organizing a high-level scientific meeting on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, in honor of Alwyn Scott's 60th birthday (December 25, 1991). As preparations for the meeting proceeded, they were met with an unusually broad-scale and high level of enthusiasm on the part of the international nonlinear science community, resulting in a participation by 168 scientists from 23 different countries in the conference, which was held July 23 to August 11992 at the Laboratory of Applied Mathematical Physics and the Center for Modelling, Nonlinear Dynamics and Irreversible Thermodynamics (MIDIT) of the Technical University of Denmark. During the meeting about 50 lectures and 100 posters were presented in 9 working days. The contributions to this present volume have been grouped into the following chapters: 1. Integrability, Solitons, and Coherent Structures 2. Nonlinear Evolution Equations and Diffusive Systems 3. Chaotic and Stochastic Dynamics 4. Classical and Quantum Lattices and Fields 5. Superconductivity and Superconducting Devices 6. Nonlinear Optics 7. Davydov Solitons and Biomolecular Dynamics 8. Biological Systems and Neurophysics. AI Scott has made early and fundamental contributions to many of these different areas of nonlinear science. They form an important subset of the total number of the papers and posters presented at the meeting. Other papers from the meeting are being published in a special issue of Physica D Nonlinear Phenomena.

Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Publisher : Springer
Page : 328 pages
File Size : 54,5 Mb
Release : 2018-06-26
Category : Science
ISBN : 9783319775043

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Generalized Models and Non-classical Approaches in Complex Materials 2 by Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch Pdf

This book is the 2nd special volume dedicated to the memory of Gérard Maugin. Over 30 leading scientists present their contribution to reflect the vast field of scientific activity of Gérard Maugin. The topics of contributions employing often non-standard methods (generalized model) in this volume show the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro-macro aspects, computational efforts, possibilities to identify the constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Publisher : Springer
Page : 760 pages
File Size : 52,5 Mb
Release : 2018-03-24
Category : Science
ISBN : 9783319724409

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Generalized Models and Non-classical Approaches in Complex Materials 1 by Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch Pdf

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Author : W. Muschik
Publisher : Springer
Page : 336 pages
File Size : 45,5 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709143216

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Non-Equilibrium Thermodynamics with Application to Solids by W. Muschik Pdf

This book puts emphasis on developing the basic ideas behind the different approaches to non-equilibrium thermodynamics and on applying them to solids. After a survey about different approaches an introduction to their common fundamentals is given in the first part. In the second part the mechanical behavior of special materials such as viscoelasticity, viscoplasticity, viscoelastoplasticity, and thermoplasticity are discussed. The third part is devoted to extended thermodynamics. The basic ideas, phenomenological as well as microscopical, are reviewed and applied to thermo- and viscoelastic materials. Electromagnetic solids showing dielectric relaxation, such as ceramics, showing electromagneto-mechanical hysteresis and superconductivity are treated in the fourth part. In the last part stability with regard to constitutive equations is investigated. Especially stability of quasi-static processes and of elastic-plastic systems are discussed.

Author : G.A. Maugin
Publisher : Elsevier
Page : 621 pages
File Size : 52,6 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483290102

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Continuum Mechanics of Electromagnetic Solids by G.A. Maugin Pdf

This volume is a rigorous cross-disciplinary theoretical treatment of electromechanical and magnetomechanical interactions in elastic solids. Using the modern style of continuum thermomechanics (but without excessive formalism) it starts from basic principles of mechanics and electromagnetism, and goes on to unify these two fields in a common framework. It treats linear and nonlinear static and dynamic problems in a variety of elastic solids such as piezoelectrics, electricity conductors, ferromagnets, ferroelectrics, ionic crystals and ceramics. Chapters 1-3 are introductory, describing the essential properties of electromagnetic solids, the essentials of the thermomechanics of continua, and the general equations that govern the electrodynamics of nonlinear continua in the nonrelativistic framework (e.g. Maxwell's equations, the fundamental balance laws of continuum mechanics, basic thermodynamical inequalities for electromagnetic continua, jump relations for studying the propagation of shock waves, nonlinear constitutive equations for large classes of materials).The remainder of the text presents in detail special cases, applications, solved problems, and more complex schemes of electromagnetic matter. Chapters 4 and 5 examine material schemes whose description relies on the above-mentioned equations. Chapters 6 and 7 are more advanced, reporting on recent progress in the field.Suitable for graduate teaching, the volume will also be useful to research workers and engineers in the field of electromagnetomechanical interactions, and to those interested in the basic principles, mathematical developments and applications of electroelasticity and magnetoelasticity in a variety of solid materials, such as crystals, polycrystals, compounds and alloys.

Author : Deepam Maurya,Abhijit Pramanick,Dwight Viehland
Publisher : Woodhead Publishing
Page : 372 pages
File Size : 51,8 Mb
Release : 2020-10-14
Category : Technology & Engineering
ISBN : 9780081028797

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Ferroelectric Materials for Energy Harvesting and Storage by Deepam Maurya,Abhijit Pramanick,Dwight Viehland Pdf

The need to more efficiently harvest energy for electronics has spurred investigation into materials that can harvest energy from locally abundant sources. Ferroelectric Materials for Energy Harvesting and Storage is the first book to bring together fundamental mechanisms for harvesting various abundant energy sources using ferroelectric and piezoelectric materials. The authors discuss strategies of designing materials for efficiently harvesting energy sources like solar, wind, wave, temperature fluctuations, mechanical vibrations, biomechanical motion, and stray magnetic fields. In addition, concepts of the high density energy storage using ferroelectric materials is explored. Ferroelectric Materials for Energy Harvesting and Storage is appropriate for those working in materials science and engineering, physics, chemistry and electrical engineering disciplines. Reviews wide range of energy harvesting including solar, wind, biomechanical and more Discusses ferroelectric materials and their application to high energy density capacitors Includes review of fundamental mechanisms of energy harvesting and energy solutions, their design and current applications, and future trends and challenges