Elastic Media with Microstructure I

Elastic Media with Microstructure I
Title Elastic Media with Microstructure I PDF eBook
Author I. A. Kunin
Publisher Springer Science & Business Media
Pages 301
Release 2012-12-06
Genre Science
ISBN 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.

Elastic Media with Microstructure II

Elastic Media with Microstructure II
Title Elastic Media with Microstructure II PDF eBook
Author I. A. Kunin
Publisher Springer Science & Business Media
Pages 279
Release 2012-12-06
Genre Science
ISBN 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: Three-dimensional models

Elastic Media with Microstructure: Three-dimensional models
Title Elastic Media with Microstructure: Three-dimensional models PDF eBook
Author Isaak Abramovich Kunin
Publisher
Pages 296
Release 1982
Genre Elasticity
ISBN

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Microstructures in Elastic Media

Microstructures in Elastic Media
Title Microstructures in Elastic Media PDF eBook
Author Nhan Phan-Thien
Publisher Oxford University Press
Pages 257
Release 1994-08-25
Genre Science
ISBN 0195358074

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This monograph describes various methods for solving deformation problems of particulate solids, taking the reader from analytical to computational methods. The book is the first to present the topic of linear elasticity in mathematical terms that will be familiar to anyone with a grounding in fluid mechanics. It incorporates the latest advances in computational algorithms for elliptic partial differential equations, and provides the groundwork for simulations on high performance parallel computers. Numerous exercises complement the theoretical discussions, and a related set of self-documented programs is available to readers with Internet access. The work will be of interest to advanced students and practicing researchers in mechanical engineering, chemical engineering, applied physics, computational methods, and developers of numerical modeling software.

Random Heterogeneous Materials

Random Heterogeneous Materials
Title Random Heterogeneous Materials PDF eBook
Author Salvatore Torquato
Publisher Springer Science & Business Media
Pages 720
Release 2013-04-17
Genre Mathematics
ISBN 1475763557

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This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.

Elastic Media with Microstructure II

Elastic Media with Microstructure II
Title Elastic Media with Microstructure II PDF eBook
Author Isaak Abramovich Kunin
Publisher
Pages 272
Release 1983
Genre Elasticity
ISBN

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Elastic Media with Microstructure II

Elastic Media with Microstructure II
Title Elastic Media with Microstructure II PDF eBook
Author I. A. Kunin
Publisher Springer
Pages 296
Release 1983-07-01
Genre Science
ISBN 9783540120780

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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 ............................................ .