Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals - Softcover

Kiral, E.; Eringen, A.Cemal

 
9781461279631: Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals
Softcover
ISBN 10: 1461279631 ISBN 13: 9781461279631
Verlag: Springer, 2011

Inhaltsangabe

Continuum physics is concemed with the predictions of deformations, stress, temperature, and electromagnetic fields in deformable and fluent bodies. To that extent, mathematical formulation requires the establishment of basic balance laws and constitutive equations. Balance laws are the union of those of continuum thermomechanics and MaxweIl’s equations, as coIlected in Chapter 1. To dose the theory it is necessary to formulate equations for the material response to extemal stimuli. These equations bring into play the material properties of the media under consideration. In their simplest forms these are the constitutive laws, such as Hooke’s law of dassical elasticity, Stokes’ law of viscosity of viscous fluids, Fourier’s law of heat conduction, Ohm’s law of electric conduction, etc. For large deformations and fields in material media, the constitutive laws become very complicated, in vol ving all physical effects and material symmetry. The present work is concemed with the material symmetry regulations arising from the crystaIlographic symmetry of magnetic crystals. While there exist some works on the thirty-two conventional crystal dasses, exduding the linear case, there exists no study on the nonlinear constitutive equations for the ninty magnetic crystal dasses. Yet the interaction of strong electromagnetic fields with deformable solids cannot be explained without the material sym­ metry regulations relevant to magnetic crystals. In this monograph, we present a thorough discussion of magnetic symmetry by means of group theory. We consider onlyone scalar function which depends on one symmetric second-order tensor (e. g.

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Reseña del editor

Continuum physics is concemed with the predictions of deformations, stress, temperature, and electromagnetic fields in deformable and fluent bodies. To that extent, mathematical formulation requires the establishment of basic balance laws and constitutive equations. Balance laws are the union of those of continuum thermomechanics and MaxweIl's equations, as coIlected in Chapter 1. To dose the theory it is necessary to formulate equations for the material response to extemal stimuli. These equations bring into play the material properties of the media under consideration. In their simplest forms these are the constitutive laws, such as Hooke's law of dassical elasticity, Stokes' law of viscosity of viscous fluids, Fourier's law of heat conduction, Ohm's law of electric conduction, etc. For large deformations and fields in material media, the constitutive laws become very complicated, in vol ving all physical effects and material symmetry. The present work is concemed with the material symmetry regulations arising from the crystaIlographic symmetry of magnetic crystals. While there exist some works on the thirty-two conventional crystal dasses, exduding the linear case, there exists no study on the nonlinear constitutive equations for the ninty magnetic crystal dasses. Yet the interaction of strong electromagnetic fields with deformable solids cannot be explained without the material sym­ metry regulations relevant to magnetic crystals. In this monograph, we present a thorough discussion of magnetic symmetry by means of group theory. We consider onlyone scalar function which depends on one symmetric second-order tensor (e. g.

Reseña del editor

This monograph offers the first comprehensive treatment of the material properties of non-linear electromagnetic elastic crystals through constitutive equations. The lists and tables given in this volume are essential to the discussion of material properties of magnetic crystal classes and for research in the nonlinear electro-magnetic theory of elastic solids. Nonlinear optics, nonlinear magnetism, elastic solids subject to large fields, plasma physics are but a few areas where one needs nonlinear constitutive equations in their final forms. The method and materials provided here should be useful, therefore, to material scientists, engineers, and physicists working in these fields. Several examples of applications to demonstrate the use of the theory are included. The results have been verified by means of computer.

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
1461279631
ISBN 13 
9781461279631
Einband
Tapa blanda
Anzahl der Seiten
252
Kontakt zum Hersteller
Nicht verfügbar
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9780387971209: Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals

Vorgestellte Ausgabe

ISBN 10:  0387971203 ISBN 13:  9780387971209
Verlag: Springer-Verlag New York Inc., 1990
Hardcover