Elastic Media with Microstructure II
Elastic Media with Microstructure II

Author: I. A. Kunin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 279

ISBN-13: 3642819605

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Crystals and polycrystals, composites and polymers, grids and multibar systems can be considered as examples of media with microstructure. A characteristic feature of all such models is the existence of scale parameters which are con nected with microgeometry or long-range interacting forces. As a result the cor responding theory must essentially be a nonlocal one. This treatment provides a systematic investigation of the effects of micro structure, inner degrees of freedom and non locality in elastic media. The prop agation of linear and nonlinear waves in dispersive media, static, deterministic and stochastic problems, and the theory of local defects and dislocations are considered in detail. Especial attention is paid to approximate models and lim iting transitions to classical elasticity. The book forms the second part of a revised and updated edition of the author's monograph published under the same title in Russian in 1975. The first part (Vol. 26 of Springer Series in Solid-State Sciences) presents a self contained theory of one-dimensional models. The theory of three-dimensional models is considered in this volume. I would like to thank E. Kroner and A. Seeger for supporting the idea of an English edition of my original Russian book. I am also grateful to E. Borie, H. Lotsch and H. Zorski who read the manuscript and offered many sugges tions. Houston, Texas Isaak A. Kunin January, 1983 Contents 1. Introduction ...

Elastic Media with Microstructure I
Elastic Media with Microstructure I

Author: I. A. Kunin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 301

ISBN-13: 3642817483

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Crystals and polycrystals,composites and polymers, grids and multibar systems can be considered as examples of media with microstructure. A characteristic feature of all such models is the existence of scale parameters which are connected with micro geometry or long-range interacting forces. As a result the corresponding theory must essentially be a nonlocal one. The book is devoted to a systematic investigation of effects of microstructure, inner degrees of freedom and nonlocality in elastic media. The propagation of linear and nonlinear waves in dispersive media, static problems, and the theory of defects are considered in detail. Much attention is paid to approximate models and limiting tran sitions to classical elasticity. The book can be considered as a revised and updated edition of the author's book under the same title published in Russian in 1975. The frrst volume presents a self-con tained theory of one-dimensional models. The theory of three-dimensional models will be considered in a forthcoming volume. The author would like to thank H. Lotsch and H. Zorsky who read the manuscript and offered many suggestions.

Classical and Generalized Models of Elastic Rods
Classical and Generalized Models of Elastic Rods

Author: D. Iesan

Publisher: CRC Press

Published: 2008-11-14

Total Pages: 386

ISBN-13: 1420086502

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Reflecting new developments in the study of Saint-Venant's problem, Classical and Generalized Models of Elastic Rods focuses on the deformation of elastic cylinders for three models of continuum: classical elastic continuum, Cosserat elastic body, and porous elastic material. The author presents a method to construct Saint-Venant's solutions, minim

Non-Classical Elastic Solids
Non-Classical Elastic Solids

Author: Michele Ciarletta

Publisher: CRC Press

Published: 1993-10-18

Total Pages: 364

ISBN-13: 9780582227163

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Problems concerning non-classical elastic solids continue to attract the attention of mathematicians, scientists and engineers. Research in this area addresses problems concerning many substances, such as crystals, polymers, composites, ceramics and blood. This comprehensive, accessible work brings together recent research in this field, and will be of great interest to mathematicians, physicists and other specialists working in this area.

Statistical Physics II
Statistical Physics II

Author: Morikazu Toda

Publisher: Springer Science & Business Media

Published: 1991

Total Pages: 304

ISBN-13: 9783540538332

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Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem. Emphasis is placed on the relaxation from nonequilibrium to equilibrium states, the response of a system to an external disturbance, and general problems involved in deriving a macroscopic physical process from more basic underlying processes. Fundamental concepts and methods are stressed, rather than the numerous individual applications.

Electron Liquids
Electron Liquids

Author: Akira Isihara

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 310

ISBN-13: 3642973035

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Press, Gordon & Breach Science Publishers, Inc. , and lOP Publishing Ltd. The author's original work in this book was supported by the National Science Foundation and the Office of Naval Research. Buffalo, NY A. Isihara July 1992 Preface The study of electronic properties reveals a common basis for a variety of systems, including gaseous plasmas, ionic solutions, metals, and semiconduc tors. This study started with one-electron properties in free space, as discussed in solid-state books. However, significant progress has been made recently in more realistic and complicated cases with interactions, confinements, im purities, and fields. Moreover, the recent discoveries of the quantum Hall ef fect, high-Tc superconductors, and localization phenomena, along with the in troduction of low-dimensional materials have opened new areas and have led to a tremendous number of articles in existing journals and even new specialized journals. This book has been written to provide a new, comprehen sive review on electronic properties in such diverse areas and materials. The title indicates emphasis on electron correlations. Chapter 1 starts with an introductory description of electron systems, including classification, characterization, and models. It provides the reader with a general account of the amazingly diverse electron systems. It is followed by discussions on strong ly coupled gaseous plasmas, electron-hole liquids, magnetic response, low dimensional systems, heavy Fermions, high-Tc superconductivity, localization, and the quantum Hall effect.

Electron Correlations in Molecules and Solids
Electron Correlations in Molecules and Solids

Author: Peter Fulde

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 428

ISBN-13: 3642973094

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Quantum chemistry and solid-state theory are two important related fields of research that have grown up with almost no cross communication. This book bridges the gap between the two. In the first half, new concepts for treating weak and strong correlations are developed, and standard quantum-chemical methods, as well as density functional, Green's function, functional integral, and Monte Carlo methods are discussed. The second half discusses applications of the theory to molecules, semiconductors, homogeneous metallic systems, transition metals, and strongly correlated systems such as heavy-fermion systems and the new high-Tc superconducting materials.