Microstructures In Elastic Media
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Microstructures In Elastic Media
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Author : Nhan Phan-Thien
language : en
Publisher: Oxford University Press
Release Date : 1994-08-25
Microstructures In Elastic Media written by Nhan Phan-Thien and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-25 with Science categories.
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.
Elastic Media With Microstructure I
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Author : I. A. Kunin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elastic Media With Microstructure I 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 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
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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 ...
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 Technology & Engineering categories.
Wave Processes in Solids with Microstructure is useful for undergraduates, graduate students, researchers and practitioners in the mechanics of solids as well as in physical and technical acoustics.
Crystals Defects And Microstructures
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Author : Rob Phillips
language : en
Publisher: Cambridge University Press
Release Date : 2001-02-22
Crystals Defects And Microstructures written by Rob Phillips and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-22 with Mathematics categories.
Examines the advances made in the field in recent years and looks at the various methods now used; ideal for graduate students and researchers.
Stochastic Modeling Of Microstructures
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Author : Kazimierz Sobczyk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic Modeling Of Microstructures written by Kazimierz Sobczyk 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 Mathematics categories.
A major challenge in applied mathematics and mechanics of materials is to describe various types of material microstructures. The details of the microstructure of most natural and engineered materials are usually obscure; uncertainty and randomness are the inherent features. This complexity due to material heterogeneity has not been A major challenge in applied mathematics and mechanics of materials is to describe various types of material microstructures. The details of the microstructure of most natural and engineered materials are usually obscure; uncertainty and randomness are the inherent features. This complexity due to material heterogeneity has not been adequately described by current classical models and theories. Stochastic Modeling of Microstructures presents a concise and unified presentation of the basic principles and tools for the modeling of real materials, natural and man-made, that possess complex, random heterogeneity. The book uses the language and methods of random field theory combined with the basic constructs of stochastic geometry and geometrical/spatial statistics in order to give the reader the knowledge necessary to model various types of material microstructures. The application of the theoretical constructs reviewed in the first three chapters to the analysis of empirical data via the tools of statistical inference is also discussed. The final chapters address practical aspects of specific modeling problems. Features- ú First comprehensive introduction to the comparatively new field of stochastic modeling of material microstructures ú Presentation of basic tools required from the diverse subjects of random field theory, stochastic geometry and spatial statistics ú Provides background concepts from probability theory and stochastic processes are provided ú Applications from various fields are discussed, including stochastic wave propagation and the mechanics of
Continuous Media With Microstructure 2
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Author : Bettina Albers
language : en
Publisher: Springer
Release Date : 2016-02-09
Continuous Media With Microstructure 2 written by Bettina Albers and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-09 with Science categories.
This book presents research advances in the field of Continuous Media with Microstructure and considers the three complementary pillars of mechanical sciences: theory, research and computational simulation. It focuses on the following problems: thermodynamic and mathematical modeling of materials with extensions of classical constitutive laws, single and multicomponent media including modern multifunctional materials, wave propagation, multiscale and multiphysics processes, phase transformations, and porous, granular and composite materials. The book presents the proceedings of the 2nd Conference on Continuous Media with Microstructure, which was held in 2015 in Łagów, Poland, in memory of Prof. Krzysztof Wilmański.
A Theory Of Elasticity With Microstructure For Directionally Reinforced Composites
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Author : J.D. Achenbach
language : en
Publisher: Springer
Release Date : 2014-05-04
A Theory Of Elasticity With Microstructure For Directionally Reinforced Composites written by J.D. Achenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science 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.
Microstructural Randomness And Scaling In Mechanics Of Materials
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Author : Martin Ostoja-Starzewski
language : en
Publisher: CRC Press
Release Date : 2007-08-13
Microstructural Randomness And Scaling In Mechanics Of Materials written by Martin Ostoja-Starzewski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-13 with Mathematics categories.
An area at the intersection of solid mechanics, materials science, and stochastic mathematics, mechanics of materials often necessitates a stochastic approach to grasp the effects of spatial randomness. Using this approach, Microstructural Randomness and Scaling in Mechanics of Materials explores numerous stochastic models and methods used in the m