Electrodynamics Of Continua I

Author : A. Cemal Eringen,Gerard A. Maugin
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461232261

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Electrodynamics of Continua I by A. Cemal Eringen,Gerard A. Maugin Pdf

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.

Author : Ahmed Cemal Eringen,Gérard A. Maugin
Publisher : Unknown
Page : 782 pages
File Size : 45,7 Mb
Release : 1990
Category : Continuum mechanics
ISBN : 3540969365

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Electrodynamics of Continua by Ahmed Cemal Eringen,Gérard A. Maugin Pdf

Author : Gérard A. Maugin,A. Cemal Eringen
Publisher : Unknown
Page : 118 pages
File Size : 54,5 Mb
Release : 1990
Category : Electronic
ISBN : LCCN:89021880

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Electrodynamics of Continua by Gérard A. Maugin,A. Cemal Eringen Pdf

Author : A.Cemal Eringen,Gerard A. Maugin
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461232360

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Electrodynamics of Continua II by A.Cemal Eringen,Gerard A. Maugin Pdf

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.

Author : A.Cemal Eringen,Gerard A. Maugin
Publisher : Springer
Page : 392 pages
File Size : 52,7 Mb
Release : 1989-12-11
Category : Science
ISBN : 0387970053

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Electrodynamics of Continua II by A.Cemal Eringen,Gerard A. Maugin Pdf

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.

Author : A.Cemal Eringen,Gerard A. Maugin
Publisher : Springer
Page : 363 pages
File Size : 42,6 Mb
Release : 2011-11-25
Category : Science
ISBN : 1461232376

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Electrodynamics of Continua II by A.Cemal Eringen,Gerard A. Maugin Pdf

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.

Author : Ribaric Marijan,Luka Sustersic
Publisher : World Scientific
Page : 349 pages
File Size : 52,5 Mb
Release : 1990-04-02
Category : Science
ISBN : 9789814525404

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Conservation Laws And Open Questions Of Classical Electrodynamics by Ribaric Marijan,Luka Sustersic Pdf

The monograph reflects the current standard of knowledge about the open questions considered, taking care to collect and collate all the revelant ideas, facts and formulae which have been until now widely scattered throughout the literature. For the first time, these aspects are collated in book form. Care is taken to clarify the issues, give a systematic collection of conditions which prospective solutions of these open questions have to meet, and gather and collate various useful theoretical concepts and results.

Author : Bernd Markert
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 50,9 Mb
Release : 2011-07-15
Category : Science
ISBN : 9783642227387

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Advances in Extended and Multifield Theories for Continua by Bernd Markert Pdf

Modern computational techniques, such as the Finite Element Method, have, since their development several decades ago, successfully exploited continuum theories for numerous applications in science and technology. Although standard continuum methods based upon the Cauchy-Boltzmann continuum are still of great importance and are widely used, it increasingly appears that material properties stemming from microstructural phenomena have to be considered. This is particularly true for inhomogeneous load and deformation states, where lower-scale size effects begin to affect the macroscopic material response; something standard continuum theories fail to account for. Following this idea, it is evident that standard continuum mechanics has to be augmented to capture lower-scale structural and compositional phenomena, and to make this information accessible to macroscopic numerical simulations.

Author : Holm Altenbach,Samuel Forest,Anton Krivtsov
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 43,9 Mb
Release : 2014-07-08
Category : Science
ISBN : 9783642363948

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Generalized Continua as Models for Materials by Holm Altenbach,Samuel Forest,Anton Krivtsov Pdf

This volume presents contributions describing the micro- and macro-behaviours, new existence and uniqueness theorems, the formulation of multi-scale problems, etc. and now it is time to ponder again the state of matter and to discuss new trends and applications. The main focus is directed on the following items - Modelling and simulation of materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, and - Comparison with discrete modelling approaches

Author : Harry F. Tiersten
Publisher : Springer Science & Business Media
Page : 158 pages
File Size : 44,9 Mb
Release : 2013-03-07
Category : Science
ISBN : 9781461396796

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A Development of the Equations of Electromagnetism in Material Continua by Harry F. Tiersten Pdf

This tract is based on lecture notes for a course in mechanics that has been offered at Rensselaer Polytechnic Institute on and off for the past twenty years. The course is intended to provide graduate students in mechanics with an understanding of electromagnetism and prepare them for studies on the interaction of the electric and magnetic fields with deformable solid continua. As such, it is imperative that the distinction between particle and continuum descriptions of matter be carefully made and that the distinction between that which is inherently linear and that which is intrinsically nonlinear be clearly delineated. Every possible effort has been made on my part to achieve these ends. I wish to acknowledge the contributions of a number of students and faculty who attended the lectures over the years and who, by their questions and suggestions, significantly improved some of the sections. This preface would not be complete if I did not point out that my interest in electromagnetism was initiated and my attitude towards the development of the equations was influenced by lectures given by the late Professor R.D. Mindlin at Columbia University in the late nineteen fifties. I would like to thank Professor C. Truesdell for his helpful suggestions, which I feel significantly improved the clarity and readability of the Introduction, and Dr. M.G. Ancona for his comment concerning the clarity of an important point in Sec. 1.1.

Author : Gerard A Maugin
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 53,8 Mb
Release : 2013-04-08
Category : Science
ISBN : 9789400763531

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Continuum Mechanics Through the Twentieth Century by Gerard A Maugin Pdf

This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,8 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 9789814464123

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Introduction to Relativistic Statistical Mechanics by Anonim Pdf

Author : Kolumban Hutter,Alfons A.F. Ven,Ana Ursescu
Publisher : Springer
Page : 382 pages
File Size : 54,7 Mb
Release : 2007-02-22
Category : Science
ISBN : 9783540372400

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Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids by Kolumban Hutter,Alfons A.F. Ven,Ana Ursescu Pdf

This book delivers a thorough derivation of nonrelativistic interaction models of electromagnetic field theories with thermoelastic solids and viscous fluids, the intention being to derive unique representations for the observable field quantities. This volume is intended for and will be useful to students and researchers working on all aspects of electromagneto-mechanical interactions in the materials sciences of complex solids and fluids.

Author : Jörg Schröder,Doru C. Lupascu
Publisher : Springer
Page : 285 pages
File Size : 47,8 Mb
Release : 2017-11-23
Category : Technology & Engineering
ISBN : 9783319688831

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Ferroic Functional Materials by Jörg Schröder,Doru C. Lupascu Pdf

The book covers experiments and theory in the fields of ferroelectrics, ferromagnets, ferroelastics, and multiferroics. Topics include experimental preparation and characterization of magnetoelectric multiferroics, the modeling of ferroelectric and ferromagnetic materials, the formation of ferroic microstructures and their continuum-mechanical modeling, computational homogenization, and the algorithmic treatment in the framework of numerical solution strategies.

Author : D.A. Siginer,D. De Kee,R.P. Chhabra
Publisher : Elsevier
Page : 895 pages
File Size : 41,5 Mb
Release : 1999-05-07
Category : Technology & Engineering
ISBN : 9780080540559

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Advances in the Flow and Rheology of Non-Newtonian Fluids by D.A. Siginer,D. De Kee,R.P. Chhabra Pdf

These two volumes contain chapters written by experts in such areas as bio and food rheology, polymer rheology, flow of suspensions, flow in porous media, electrorheological fluids, etc. Computational as well as analytical mathematical descriptions, involving appropriate constitutive equations deal with complex flow situations of industrial importance. This work is unique in that it brings together state of the art reviews and recent advances in a variety of areas, involving viscoelastic materials, in a desirable and timely manner.