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Format: 1 online resource (621 p.)

ISBN: 1-4832-9010-7

Series Statement: North-Holland Series in Applied Mathematics and Mechanics ; Volume 33

Content: 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 e

Note: Description based upon print version of record. , Front Cover; Continuum Mechanics of Electromagnetic Solids; Copyright Page; Foreword; Table of Contents; Introduction Continuum Mechanics and Electrodynamics; CHAPTER 1. ESSENTIAL PROPERTIES OF ELECTROMAGNETIC SOLIDS; 1.1. Introduction; 1.2. Polarizability of Dielectrics; 1.3. Ionic crystals; 1.4. Ferroelectric Crystals; 1.5. Electrostriction and piezoelectricity; 1.6. Paramagnetism and ferromagnetism; 1.7. Elementary excitations in magnetically ordered crystals; 1.8. Magnetostriction and piezomagnetism; 1.9. Electric conduction; 1.10. Electromagnetic waves; 1.11. Anisotropy inducement , 1.12. Polaritons and Solitons21.13. Uniformly polarized and magnetized bodies; Bibliography of Chapter 1; CHAPTER 2. ELEMENTS OF CONTINUUM MECHANICS; 2.1. The notion of material continuum; 2.2. - Motion and strains in a continuum; 2.3. Strainrates and objectivity; 2.4. Mechanical principles of continua; 2.5. The closure of the system of field equations : Formulation of constitutive equations; 2.6.Theprinciple of virtual power; 2.7. Mechanical field equations in the reference configuration; 2.8. Thermodynamics of continua , 2.9. Constitutive equations based on the theory of irreversible processes2.10. The rmoelasticity based on axiomatic thermodynamics; 2.11. Linear thermoelasticity15; 2.12. Wave propagation in an infinite is otropicel elastic continuum; 2.13. Wave propagation in an infinite cubic crystal; 2.14. Notions on surface acoustic waves; 2.15. Small motions superimposed on large static field s; Bibliography of Chapter 2; CHAPTER 3. GENERAL EQUATIONS OF NONLINEAR ELECTROMAGNETIC CONTINUA; 3.1. Electrodynamics of continua; 3.2. Electromagnetic fields in a deformable body in the Galilean approximation , 3.3.The bulk electromagnetic contributions3.4. The surface electromagnetic contributions; 3 . 5 . Global and l o c a l thermodynamical balance laws; 3.6. First example : nonmagnetizable elasticdiel ectrsina in abaticevolution evolution; 3 . 7 . Hugoniot equation f o r nonmagnetizable deformable dielectrics; 3.8. Second example : nonpolarizable magnetic elastic conductors; 3.9. The principle of virtual power for electromagnetic continua; Bibliography of Chapter 3; CHAPTER 4. ELASTIC DIELECTRICS AND PIEZOELECTRICITY; 4.1. Introduction; 4.2.Nonlinear field and constitutiv e equations , 4.3. Voigt's linear theory of piezoelectricity4.4. Electric field generated through the directpiezo electric effec t; 4.5. Inverse piezoelectric effect; 4.6 Quasi-electrostatic approximation; 4.7. Piezoelectrically excited thickness vibrations of a plate5; 4.8. Frequency dependence of the permitivity tensor; 6.9. Piezoelectrically excited extensional vibrations of rods6; 4.10. Piezoelectric Rayleigh waves; 4.11. Bleustein-Gulyaev surface waves; 4.12. Elements of nonlinear theory; 4.13. Note on piezoelectric semiconductors; Bibliography of Chapter 4; CHAPTER 5. ELASTIC ONDUCTORS , 5. 1 . Introduction , English

Additional Edition: ISBN 1-322-27729-X

Additional Edition: ISBN 0-444-70399-3

Language: English

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Format: 1 Online-Ressource

ISBN: 9781441956958

Series Statement: Advances in mechanics and mathematics 21

Additional Edition: Erscheint auch als Druckausgabe ISBN 978-1-4419-5694-1

Language: English

Subjects: Physics

DOI: 10.1007/978-1-4419-5695-8

URL: Volltext

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Format: 1 online resource (266 pages).

ISBN: 9789811024344 (e-book)

Series Statement: Advanced Structured Materials, Volume 51

Additional Edition: Print version: Maugin, Gerard A. Non-classical continuum mechanics : a dictionary. Singapore : Springer, c2017 ISBN 9789811024337

Language: English

Keywords: Electronic books.

URL: Click to View

URL: Volltext  (URL des Erstveröffentlichers)

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Format: 1 Online-Ressource (VIII, 290 p)

ISBN: 9781461302438 , 9781461379577

Series Statement: Advances in Mechanics and Mathematics 3

Note: The mechanics of electromagnetic materials and structures has been developing rapidly with extensive applications in, e. g. , electronics industry, nuclear engineering, and smart materials and structures. Researchers in this interdisciplinary field are with diverse background and motivation. The Symposium on the Mechanics of Electromagnetic Materials and Structures of the Fourth International Conference on Nonlinear Mechanics in Shanghai, China in August 13-16, 2002 provided an opportunity for an intimate gathering of researchers and exchange of ideas. This volume contains papers based on most of the presentations at the symposium, and articles from a few invited contributors. These papers reflect some of the recent activities in the mechanics of electromagnetic materials and structures. The first twelve papers are in the order in which they were listed in the program of the conference. These are followed by six invited papers in alphabetical order of the last names of the first authors. We would like to extend our sincere thanks to Professor David Y. Gao of Virginia Tech for suggesting the symposium, and to the authors for their time and effort invested in preparing their manuscripts. We are also grateful to Professor Daining Fang of Tsinghua University for co-chairing the symposium with J. S. Yang. Our special thanks belong to Kluwer for preparing this book for publication. J. S. Yang G. A. Maugin PIEZOELECTRIC VIBRATORY GYROSCOPES J. S.

Language: English

DOI: 10.1007/978-1-4613-0243-8

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: Cover

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Format: 1 online resource (xix, 350 pages) : , digital, PDF file(s).

ISBN: 9781139172400 (ebook)

Series Statement: Cambridge texts in applied mathematics ; 7

Content: This book concentrates upon the mathematical theory of plasticity and fracture as opposed to the physical theory of these fields, and is presented in the thermomechanical framework. It follows the macroscopic, phenomenological approach which proposes equations abstracted from generally accepted experimental facts, studies the adequacy of the consequences drawn from these equations to those facts and then provides useful tools for designers and engineers. The material is drawn from the author's graduate course in Europe and the United States and may be used to form the basis for similar graduate courses on plasticity and fracture. Many worked examples are presented and each chapter concludes with problems for students. The book will thus undoubtedly establish itself as a core text for both students and researchers.

Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Additional Edition: Print version: ISBN 9780521394765

Language: English

URL: https://doi.org/10.1017/CBO9781139172400

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Format: 246 S , graph. Darst

ISBN: 3798315264

Series Statement: TUB-Dokumentation 61

Note: Literaturangaben

Language: English

Subjects: General works , Mathematics

Keywords: Thermodynamik ; Nichtlinearer Prozess ; Thermodynamik ; Nichtlineares System ; Thermodynamik ; Nichtlinearer Prozess ; Konferenzschrift ; Konferenzschrift

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Format: 1 Online-Ressource (X, 351p. 139 illus)

ISBN: 9783642835087 , 9783642835100

Series Statement: Springer Series on Wave Phenomena 7

Note: The topic of surface waves lies at the interface between a number of disciplines - physics, theoretical and applied mechanics, electroacoustics, applied mathematics, surface science and seismology. This volume, based on papers delivered at European Mechanics Colloquium 226, reflects this diversity in approach and background, while showing strong links between phenomena arising from different fields. The emphasis is on recent developments such as nonlinear and other nonclassical effects,which have great importance for both pure science and for applications such as signal processing, nondestructive evaluation and seismic studies. In recent years there has been considerable progress in the mathematical treatment of nonlinear effects, of viscoelastic and of more novel constitutive effects which modify the predictions of linear elastic and piezo­electric theory for surface acoustic wave (SAW) propagation. A number of these themes serve to group the contents of this volume. Part I contains recent advances in the rigorous mathematical treatment of nonlinearity, together with a paper giving experimental results showing the need for further theoretical development. Part II deals with anisotropic elasticity, showing that even the linear theory presents many possible behaviours, which are still not fully categorized

Language: English

DOI: 10.1007/978-3-642-83508-7

URL: Volltext

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Format: 1 Online Ressource (xii, 306 Seiten)

ISBN: 9783319265933

Series Statement: Solid mechanics and its applications volume 23 (2016)

Additional Edition: Erscheint auch als Druckausgabe ISBN 978-3-319-26591-9

Language: English

Subjects: Physics

Keywords: Kontinuumsphysik ; Strömungsmechanik ; Plastizität ; Bruchfestigkeit ; Geschichte

DOI: 10.1007/978-3-319-26593-3

URL: Volltext  (URL des Erstveröffentlichers)

URL: Inhaltsverzeichnis

URL: Abstract

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Format: 1 Online-Ressource

ISBN: 9783319053745

Series Statement: Solid mechanics and its applications 214

Additional Edition: Erscheint auch als Druckausgabe ISBN 978-331-90537-3-8

Language: English

Subjects: Physics

Keywords: Kontinuumsmechanik ; Geschichte ; Kontinuumsmechanik ; Geschichte 1727-1914

DOI: 10.1007/978-3-319-05374-5

URL: Volltext

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Format: 1 Online-Ressource (XIII, 363p. 56 illus)

ISBN: 9781461232360 , 9781461279280

Note: This is the second volume of a two-volume set presenting a unified approach to the electrodynamics of continua, based on the principles of contemporary continuum of physics. The first volume was devoted mainly to the development of the theory and applications to deformable solid media. This volume extends the developments of the first volume to richer and newer grounds. It contains discussions on fluid media, magnetohydrodynamics, eletrohydrodynamics and media with more complicated structures. With the discussion, in the last two chapters, of memory-dependent materials and non-local E-M theory, the authors account for the nonlocal effects arising from motions and fields of material points at past times and at spatially distant points. This discussion is included here to stimulate further research in these important fields, which are presently in development stages. The second volume is self-contained and can be studied without the help of volume I. A section summarizing the constitutive equations and the underlying physical ideas, which were presented in more detail in the first volume, is included. This volume may be used as a basis for several graduate courses in engineering schools, applied mathematics and physics departments. It also contains fresh ideas and will stimulate further research in the directions the authors outline

Language: English

DOI: 10.1007/978-1-4612-3236-0

URL: Volltext