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Continuum mechanics of electromagnetic solids /
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 g...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
North-Holland,
1988.
|
| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 33. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Maugin, G. A. |q (G�erard A.), |d 1944- | |
| 245 | 1 | 0 | |a Continuum mechanics of electromagnetic solids / |c G�erard A. Maugin. |
| 264 | 1 | |a Amsterdam ; |a New York : |b North-Holland, |c 1988. | |
| 264 | 2 | |a New York, N.Y., U.S.A. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. | |
| 300 | |a 1 online resource (xxii, 598 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland series in applied mathematics and mechanics ; |v volume 33 | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 650 | 0 | |a Continuum mechanics. | |
| 650 | 0 | |a Electromagnetic interactions. | |
| 650 | 0 | |a Elastic solids. | |
| 650 | 6 | |a M�ecanique des milieux continus. |0 (CaQQLa)201-0022033 | |
| 650 | 6 | |a Interactions �electromagn�etiques. |0 (CaQQLa)201-0044323 | |
| 650 | 6 | |a Solides �elastiques. |0 (CaQQLa)201-0018974 | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a Continuum mechanics. |2 fast |0 (OCoLC)fst00876787 | |
| 650 | 7 | |a Elastic solids. |2 fast |0 (OCoLC)fst00904201 | |
| 650 | 7 | |a Electromagnetic interactions. |2 fast |0 (OCoLC)fst00906549 | |
| 650 | 7 | |a Festk�orper |2 gnd |0 (DE-588)4016918-2 | |
| 650 | 7 | |a Elektromagnetische Wechselwirkung |2 gnd |0 (DE-588)4014300-4 | |
| 650 | 7 | |a Kontinuumsmechanik |2 gnd |0 (DE-588)4032296-8 | |
| 650 | 7 | |a Elektrodynamik |2 gnd |0 (DE-588)4014251-6 | |
| 650 | 7 | |a �Electrodynamique. |2 ram | |
| 650 | 7 | |a Milieux continus, M�ecanique des. |2 ram | |
| 650 | 7 | |a Interactions �electromagn�etiques. |2 ram | |
| 650 | 7 | |a Solides �elastiques. |2 ram | |
| 653 | |a Solids |a Electromagnetic interactions | ||
| 776 | 0 | 8 | |i Print version: |a Maugin, G.A. (G�erard A.), 1944- |t Continuum mechanics of electromagnetic solids |z 0444703993 |w (DLC) 88003673 |w (OCoLC)17548973 |
| 830 | 0 | |a North-Holland series in applied mathematics and mechanics ; |v v. 33. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444703996 |z Texto completo |