Electrodynamics of Continua: Foundations and Solid Media: 001 - Tapa dura

Eringen, A. Cemal; Maugin, Gerard A.

9780387969367: Electrodynamics of Continua: Foundations and Solid Media: 001

Tapa dura

ISBN 10: 0387969365 ISBN 13: 9780387969367

Editorial: Springer-Verlag New York Inc., 1989

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Rese�a del editor

The electrodynamics of continua is a branch ofthe physical sciences concerned with the interaction of electromagnetic fields with deformable bodies. De� formable bodies are considered to be continua endowed with continuous distributions of mass and charge. The theory of electromagnetic continua is concerned with the determination of deformations, motions, stress, and elec� tromagnetic fields developed in bodies upon the applications of external loads. External loads may be of mechanical origin (e.g., forces, couples, constraints placed on the surface of the body, and initial and boundary conditions arising from thermal and other changes) and/or electromagnetic origin (e.g., electric, magnetic, and current fields). Because bodies of different constitutions respond to external stimuli in a different way, it is imperative to characterize properly the response functions relevant to a given class of continua. This is done by means of the constitutive theory. For example, an elastic dielectric responds to electromagnetic fields in a totally different way than a magnetic fluid. The present book is intended to present a unified approach to the subject matter, based on the principles of contemporary continuum physics.

Rese�a del editor

This book presents a unified approach to the electrodynamics of continua, based on the principles of contemporary continuum of physics. This interdisciplinary approach is unique for the treatment of the subject matter, and much of the material is new or newly composed. No other treatise similar in content and composition to this one exists at this time. The authors present a self-contained, finite deformation and finte electro-magnetic field theory from a unified viewpoint, providing ample critical illustrations by way of applications. The constitution of the book is as follows: (1) development of the ten basic balance laws in order to establish the macroscopic electromagnetic theory; (2) establishment of the general constitutive theory. By means of eight axioms, the local nonlinear theory is developed for finite deformations and E-M (electromagnetic) fields. In this way, for the first time, it has been possible to express the nonlinear constitutive equations for the ninety magnetic groups relevant to magnetic crystals. (3) discussion of special theories and applications. Various special topics are explored and solutions presented to several nonlinear problems in order to demonstrate the uses of the basic theory. The book is intended primarily as a guide and reference for researchers, although selected chapters can well be used as a textbook for graduate studies.

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