Elastic Media With Microstructure I

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Elastic Media With Microstructure Ii

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Author : I. A. Kunin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Elastic Media With Microstructure Ii written by I. A. Kunin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

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

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Author : I. A. Kunin
language : en
Publisher: Springer
Release Date : 1982-07-01

Elastic Media With Microstructure I written by I. A. Kunin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-07-01 with Science categories.

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.

Elastic Media With Microstructure

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Author : Isaak A. Kunin
language : en
Publisher:
Release Date : 1982

Elastic Media With Microstructure written by Isaak A. Kunin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Elastic Media With Microstructure I One Dimensional Models Volume 26

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Author : IA. Kunin
language : en
Publisher:
Release Date : 1982

Elastic Media With Microstructure I One Dimensional Models Volume 26 written by IA. Kunin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Classical And Generalized Models Of Elastic Rods

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Author : D. Iesan
language : en
Publisher: CRC Press
Release Date : 2008-11-14

Classical And Generalized Models Of Elastic Rods written by D. Iesan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-14 with Mathematics categories.

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

Elastic Media With Microstructure Ii

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Author : Isaak Abramovich Kunin
language : en
Publisher:
Release Date : 1983

Elastic Media With Microstructure Ii written by Isaak Abramovich Kunin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Elasticity categories.

Elastic Media With Microstructure Three Dimensional Models

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Author : Isaak Abramovich Kunin
language : en
Publisher:
Release Date : 1982

Elastic Media With Microstructure Three Dimensional Models written by Isaak Abramovich Kunin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Elasticity categories.

Elastic Media With Microstructure

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Author :
language : en
Publisher:
Release Date : 1982

Elastic Media With Microstructure written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Elastic Media With Microstructure

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Author : Isaak A. Kunin
language : it
Publisher:
Release Date : 1982

Elastic Media With Microstructure written by Isaak A. Kunin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Wave Processes In Solids With Microstructure

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Author : Vladimir I. Erofeyev
language : en
Publisher: World Scientific
Release Date : 2003

Wave Processes In Solids With Microstructure written by Vladimir I. Erofeyev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.

1. The fundamental hypothesis of microstructured elastic solids. Structural-phenomenological model. 1.1. Mathematical models of solids with microstructure. 1.2. Definition of material constants -- 2. Gradient elasticity media. Dispersion. Dissipation. Non-linearity. 2.1. Dynamic equations. Energy and momentum variation law. 2.2. Dispersion properties of longitudinal and shear waves. Surface Rayleigh waves. 2.3. Dissipative properties. 2.4. Nonlinear plain stationary waves. 2.5. Quasi-plain wave beams. 2.6. Self-modulation of quasi-harmonic shear waves. 2.7. Resonant interaction of quasi-harmonic waves. 2.8. Noise waves -- 3. Gradient elasticity media. Damaged medium. Magnetoelasticity. 3.1. Waves in damaged medium with microstructure. 3.2. Magneto-elastic waves in the medium with microstructure -- 4. Cosserat continuum. 4.1. Basic equations of micropolar elasticity theory. 4.2. Dispersion properties of volume waves. 4.3. Wave reflection from the free interface of micropolar halfspace. Rayleigh surface waves. 4.4. Normal waves in a micropolar layer. 4.5. Nonlinear resonant interaction of longitudinal and rotation waves. 4.6. Waves in Cosserat pseudocontinuum. 4.7. Waves in the Cosserat continuum with symmetric stress tensor -- 5. Waves in two-component mixture of solids. 5.1. Dispersion properties. 5.2. Some nonlinear wave effects -- 6. Waves in micromorphic solids. 6.1. Dynamics equations. 6.2. Different types of volume waves and their dispersion properties. 6.3. Surface shear waves in the gradient-elastic half-space with surface energy -- 7. Elasto-plastic waves in the medium with dislocations. 7.1. Equations of dynamics. 7.2. Dispersion properties. 7.3. Some nonlinear problems. 7.4. Correlation of elasto-plastic continuum and Cosserat continuum. 7.5. Example of research of the influence of dislocations on dispersion and damping of ultrasound in solid body -- 8. Wave problems of micropolar hydrodynamics. 8.1. Rotational waves in micropolar liquids. 8.2. Shear surface wave at the interface of elastic body and micropolar liquid. 8.3. Shear surface wave at the interface between elastic half-space and conducting viscous liquid in a magnetic field.