Elastic Media with Microstructure: Three dimensional models

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Publisher :
ISBN 13 : 9780387111452
Total Pages : pages
Book Rating : 4.1/5 (114 download)

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Book Synopsis Elastic Media with Microstructure: Three dimensional models by : Isaak Abramovich Kunin

Download or read book Elastic Media with Microstructure: Three dimensional models written by Isaak Abramovich Kunin and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elastic Media with Microstructure II

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Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (761 download)

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Book Synopsis Elastic Media with Microstructure II by : Isaak Abramovich Kunin

Download or read book Elastic Media with Microstructure II written by Isaak Abramovich Kunin and published by . This book was released on 1983 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elastic Media with Microstructure II

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Publisher :
ISBN 13 : 9783642819612
Total Pages : 288 pages
Book Rating : 4.8/5 (196 download)

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Book Synopsis Elastic Media with Microstructure II by : I A Kunin

Download or read book Elastic Media with Microstructure II written by I A Kunin and published by . This book was released on 1983-07-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elastic Media with Microstructure I

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Author :
Publisher : Springer
ISBN 13 : 9783642817502
Total Pages : 296 pages
Book Rating : 4.8/5 (175 download)

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Book Synopsis Elastic Media with Microstructure I by : I. A. Kunin

Download or read book Elastic Media with Microstructure I written by I. A. Kunin and published by Springer. This book was released on 2011-12-08 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: Three-dimensional models

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Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Elastic Media with Microstructure: Three-dimensional models by : Isaak Abramovich Kunin

Download or read book Elastic Media with Microstructure: Three-dimensional models written by Isaak Abramovich Kunin and published by . This book was released on 1982 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elastic Media with Microstructure II

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Publisher : Springer Science & Business Media
ISBN 13 : 3642819605
Total Pages : 279 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Elastic Media with Microstructure II by : I. A. Kunin

Download or read book Elastic Media with Microstructure II written by I. A. Kunin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Springer Science & Business Media
ISBN 13 : 3642817483
Total Pages : 301 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Elastic Media with Microstructure I by : I. A. Kunin

Download or read book Elastic Media with Microstructure I written by I. A. Kunin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Continuum Mechanics Modeling of Material Behavior

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Publisher : Academic Press
ISBN 13 : 0128116498
Total Pages : 432 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Continuum Mechanics Modeling of Material Behavior by : Martin H. Sadd

Download or read book Continuum Mechanics Modeling of Material Behavior written by Martin H. Sadd and published by Academic Press. This book was released on 2018-03-31 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries; kinematics of motion and deformation; force and stress measures; and mass, momentum and energy balance principles. The book then moves beyond other books by dedicating the last chapter to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity, as well as linear and nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Offers a thorough, concise and organized presentation of continuum mechanics formulation Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study Features extensive use of exercises, providing more material for student engagement and instructor presentation

Advances in Doublet Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540620613
Total Pages : 225 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Advances in Doublet Mechanics by : Mauro Ferrari

Download or read book Advances in Doublet Mechanics written by Mauro Ferrari and published by Springer Science & Business Media. This book was released on 1997 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recently proposed, fully multi-scale theory of doublet mechanics offers unprecented opportunities to reconcile the discrete and continuum representations of solids while maintaining a simple analytical format and full compatibility with lattice dynamics and continuum mechanics. In this monograph, a self-contained account of the state of the art in doublet mechanics is presented. Novel results in the elastodynamics of microstructured media are reported, including the identification of a new class of dispersive surface waves, and the presentation of methods for the experimental determination of the essential microstructural parameters. The relationships between doublet mechanics, lattice dynamics, and continuum theories are examined, leading to the identification of the subject areas in which the use of doublet mechanics is most advantageous. These areas include the analysis of domains as diverse as micro-electro-mechanical systems (MEMS), granular and particulate media, nanotubes, and peptide arrays.

Linear and Nonlinear Waves in Microstructured Solids

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Publisher : CRC Press
ISBN 13 : 1000372197
Total Pages : 251 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Linear and Nonlinear Waves in Microstructured Solids by : Igor V. Andrianov

Download or read book Linear and Nonlinear Waves in Microstructured Solids written by Igor V. Andrianov and published by CRC Press. This book was released on 2021-04-22 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.

Modeling of Material Damage and Failure of Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540637257
Total Pages : 350 pages
Book Rating : 4.6/5 (372 download)

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Book Synopsis Modeling of Material Damage and Failure of Structures by : Jacek Skrzypek

Download or read book Modeling of Material Damage and Failure of Structures written by Jacek Skrzypek and published by Springer Science & Business Media. This book was released on 1999 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive and comprehensive survey of one- and three-dimensional damage models for elastic and inelastic solids. The book not only provides a rich current source of knowledge, but also describes examples of practical applications, numerical procedures, and computer codes. The style throughout is systematic, clear, and concise, and supported by illustrative diagrams. The state of the art is given by some 200 references.

Elasticity

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Publisher : Elsevier
ISBN 13 : 008047747X
Total Pages : 474 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Elasticity by : Martin H. Sadd

Download or read book Elasticity written by Martin H. Sadd and published by Elsevier. This book was released on 2010-08-04 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. Contains exercises for student engagement as well as the integration and use of MATLAB Software Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of

Micromechanics of Composite Materials

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Publisher : Springer Science & Business Media
ISBN 13 : 9400741014
Total Pages : 442 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Micromechanics of Composite Materials by : George Dvorak

Download or read book Micromechanics of Composite Materials written by George Dvorak and published by Springer Science & Business Media. This book was released on 2012-12-09 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad exposition of analytical and numerical methods for modeling composite materials, laminates, polycrystals and other heterogeneous solids, with emphasis on connections between material properties and responses on several length scales, ranging from the nano and microscales to the macroscale. Many new results and methods developed by the author are incorporated into the rich fabric of the subject, which has developed from the work of many researchers over the last 50 years. Among the new results, the book offers an extensive analysis of internal and interface stresses caused by eigenstrains, such as thermal, transformation and inelastic strains in the constituents, which often exceed those caused by mechanical loads, and of inelastic behavior of metal matrix composites. Fiber prestress in laminates, and modeling of functionally graded materials are also analyzed. Furthermore, this book outlines several key subjects on modeling the properties of composites reinforced by particles of various shapes, aligned fibers, symmetric laminated plates and metal matrix composites. This volume is intended for advanced undergraduate and graduate students, researchers and engineers interested and involved in analysis and design of composite structures.

Multiscale Modeling of Complex Materials

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Publisher : Springer
ISBN 13 : 3709118123
Total Pages : 285 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Multiscale Modeling of Complex Materials by : Tomasz Sadowski

Download or read book Multiscale Modeling of Complex Materials written by Tomasz Sadowski and published by Springer. This book was released on 2014-10-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume deal with materials science, theoretical mechanics and experimental and computational techniques at multiple scales, providing a sound base and a framework for many applications which are hitherto treated in a phenomenological sense. The basic principles are formulated of multiscale modeling strategies towards modern complex multiphase materials subjected to various types of mechanical, thermal loadings and environmental effects. The focus is on problems where mechanics is highly coupled with other concurrent physical phenomena. Attention is also focused on the historical origins of multiscale modeling and foundations of continuum mechanics currently adopted to model non-classical continua with substructure, for which internal length scales play a crucial role.

Heterogeneous Media

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Publisher : Elsevier
ISBN 13 : 0128198818
Total Pages : 496 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Heterogeneous Media by : Sergey Kanaun

Download or read book Heterogeneous Media written by Sergey Kanaun and published by Elsevier. This book was released on 2020-09-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heterogeneous Media: Local Fields, Effective Properties, and Wave Propagation outlines new computational methods for solving volume integral equation problems in heterogeneous media. The book starts by surveying the various numerical methods of analysis of static and dynamic fields in heterogeneous media, listing their strengths and weaknesses, before moving onto an introduction of static and dynamic green functions for homogeneous media. Volume and surface integral equations for fields in heterogenous media are discussed next, followed by an overview of explicit formulas for numerical calculations of volume and surface potentials. The book then segues into Gaussian functions for discretization of volume integral equations for fields in heterogenous media, static problems for a homogeneous host medium with heterogeneous inclusions, volume integral equations for scattering problems, and concludes with a chapter outlining solutions to homogenization problems and calculations of effective properties of heterogeneous media. The book concludes with multiple appendices that feature the texts of basic programs for solving volume integral equations as written in Mathematica. Outlines cutting-edge computational methods for solving volume integral equation problems in heterogeneous media Provides applied examples of approximation and other methods being employed Demonstrates calculation of composite material properties and the constitutive laws for averaged fields within them Covers static and dynamic 2D and 3D mechanical-mathematical models for heterogeneous media

Nonlinear Wave Dynamics of Materials and Structures

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Publisher : Springer Nature
ISBN 13 : 3030387089
Total Pages : 473 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Nonlinear Wave Dynamics of Materials and Structures by : Holm Altenbach

Download or read book Nonlinear Wave Dynamics of Materials and Structures written by Holm Altenbach and published by Springer Nature. This book was released on 2020-04-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book marks the 60th birthday of Prof. Vladimir Erofeev – a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev’s contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.

Advances in Nonlinear Dynamics

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Publisher : Springer Nature
ISBN 13 : 303081162X
Total Pages : 891 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Advances in Nonlinear Dynamics by : Walter Lacarbonara

Download or read book Advances in Nonlinear Dynamics written by Walter Lacarbonara and published by Springer Nature. This book was released on 2022-03-18 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include Fluid-structure interactions Mechanical systems and structures Computational nonlinear dynamics Analytical techniques Bifurcation and dynamic instability Rotating systems Modal interactions and energy transfer Nonsmooth systems