Microstructures In Elastic Media

Author : I. A. Kunin
Publisher : Springer
Page : 296 pages
File Size : 51,8 Mb
Release : 1983-07-01
Category : Science
ISBN : 3540120785

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Elastic Media with Microstructure II by I. A. Kunin Pdf

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

Author : Nhan Phan-Thien,Sangtae Kim
Publisher : Oxford University Press, USA
Page : 257 pages
File Size : 46,5 Mb
Release : 1994
Category : Language Arts & Disciplines
ISBN : 9780195090864

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Microstructures in Elastic Media by Nhan Phan-Thien,Sangtae Kim Pdf

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 groundingin 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 ofself-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.

Author : Isaak Abramovich Kunin
Publisher : Unknown
Page : 272 pages
File Size : 44,6 Mb
Release : 1983
Category : Elasticity
ISBN : OCLC:761203539

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Elastic Media with Microstructure II by Isaak Abramovich Kunin Pdf

Author : I A Kunin
Publisher : Unknown
Page : 288 pages
File Size : 41,9 Mb
Release : 1983-07-01
Category : Electronic
ISBN : 3642819613

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Elastic Media with Microstructure II by I A Kunin Pdf

Author : Vladimir I. Erofeyev
Publisher : World Scientific
Page : 282 pages
File Size : 54,7 Mb
Release : 2003
Category : Science
ISBN : 9812794506

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Wave Processes in Solids with Microstructure by Vladimir I. Erofeyev Pdf

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.

Author : I. A. Kunin
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642817489

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Elastic Media with Microstructure I by I. A. Kunin Pdf

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.

Author : Dominique Jeulin,Martin Ostoja-Starzewski
Publisher : Springer
Page : 270 pages
File Size : 45,6 Mb
Release : 2014-05-04
Category : Computers
ISBN : 9783709127803

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Mechanics of Random and Multiscale Microstructures by Dominique Jeulin,Martin Ostoja-Starzewski Pdf

This book reviews recent theoretical, computational and experimental developments in mechanics of random and multiscale solid materials. The aim is to provide tools for better understanding and prediction of the effects of stochastic (non-periodic) microstructures on materials’ mesoscopic and macroscopic properties. Particular topics involve a review of experimental techniques for the microstructure description, a survey of key methods of probability theory applied to the description and representation of microstructures by random modes, static and dynamic elasticity and non-linear problems in random media via variational principles, stochastic wave propagation, Monte Carlo simulation of random continuous and discrete media, fracture statistics models, and computational micromechanics.

Author : Vladimir I Erofeyev
Publisher : World Scientific
Page : 276 pages
File Size : 54,9 Mb
Release : 2003-08-12
Category : Technology & Engineering
ISBN : 9789814487047

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Wave Processes in Solids with Microstructure by Vladimir I Erofeyev Pdf

This book systematically discusses the modern theory of propagation and interaction of elastic waves in solids with microstructure. Mathematical models of solids taking into account microstructure, geometrical and physical nonlinearity, damage media, interaction of deformation and magnetic field are obtained. Different wave effects characteristic of solids with microstructure are studied. The opportunity to use these effects in problems of ultrasonic testing of materials and devices of constructions is considered. Contents:The Fundamental Hypothesis of Microstructured Elastic Solids. Structural–Phenomenological ModelGradient Elasticity Media. Dispersion. Dissipation. NonlinearityGradient Elasticity Media. Damaged Medium. MagnetoelasticityCosserat ContinuumWaves in Two-Component Mixture of SolidsWaves in Micromorphic SolidsElasto-Plastic Waves in the Medium with DislocationsWave Problems of Micropolar Hydrodynamics Readership: Undergraduates, graduate students, researchers and practitioners in the mechanics of solids as well as in physical and technical acoustics. Keywords:Wave;Microstructure;Dispersion;Nonlinearity;Soliton;Damaged

Author : Kazimierz Sobczyk,David J. Kirkner
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201212

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Stochastic Modeling of Microstructures by Kazimierz Sobczyk,David J. Kirkner Pdf

This book is for a general scientific and engineering audience as a guide to current ideas, methods, and models for stochastic modeling of microstructures. It is a reference for professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.

Author : Rob Phillips
Publisher : Cambridge University Press
Page : 807 pages
File Size : 52,5 Mb
Release : 2001-02-22
Category : Mathematics
ISBN : 9780521790055

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Crystals, Defects and Microstructures by Rob Phillips Pdf

Examines the advances made in the field in recent years and looks at the various methods now used; ideal for graduate students and researchers.

Author : Linbing Wang
Publisher : McGraw Hill Professional
Page : 481 pages
File Size : 48,9 Mb
Release : 2010-10-08
Category : Technology & Engineering
ISBN : 9780071640978

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Mechanics of Asphalt: Microstructure and Micromechanics by Linbing Wang Pdf

A State-of-the-Art Guide to the Mechanics of Asphalt Concrete Mechanics of Asphalt systematically covers both the fundamentals and most recent developments in applying rational mechanics, microstructure characterization methods, and numerical tools to understand the behavior of asphalt concrete (AC). The book describes the essential mathematics, mechanics, and numerical techniques required for comprehending advanced modeling and simulation of asphalt materials and asphalt pavements. Filled with detailed illustrations, this authoritative volume provides rational mechanisms to guide the development of best practices in mix design, construction methods, and performance evaluation of asphalt concrete. Mechanics of Asphalt covers: Fundamentals for mathematics and continuum mechanics Mechanical properties of constituents, including binder, aggregates, mastics, and mixtures Microstructure characterization Experimental methods to characterize the heterogeneous strain field Mixture theory and micromechanics applications Fundamentals of phenomenological models Multiscale modeling and moisture damage Models for asphalt concrete, including viscoplasticity, viscoplasticity with damage, disturbed state mechanics model, and fatigue failure criteria Finite element method, boundary element method, and discrete element method Digital specimen and digital test-integration of microstructure and simulation Simulation of asphalt compaction Characterization and modeling of anisotropic properties of asphalt concrete

Author : Martin Ostoja-Starzewski
Publisher : CRC Press
Page : 500 pages
File Size : 47,8 Mb
Release : 2007-08-13
Category : Mathematics
ISBN : 9781420010275

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Microstructural Randomness and Scaling in Mechanics of Materials by Martin Ostoja-Starzewski Pdf

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

Author : Jichun Li,Hongtao Yang,Eric Alexander Machorro
Publisher : American Mathematical Soc.
Page : 397 pages
File Size : 47,7 Mb
Release : 2013-04-24
Category : Mathematics
ISBN : 9780821887370

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Recent Advances in Scientific Computing and Applications by Jichun Li,Hongtao Yang,Eric Alexander Machorro Pdf

This volume contains the proceedings of the Eighth International Conference on Scientific Computing and Applications, held April 1-4, 2012, at the University of Nevada, Las Vegas. The papers in this volume cover topics such as finite element methods, multiscale methods, finite difference methods, spectral methods, collocation methods, adaptive methods, parallel computing, linear solvers, applications to fluid flow, nano-optics, biofilms, finance, magnetohydrodynamics flow, electromagnetic waves, the fluid-structure interaction problem, and stochastic PDEs. This book will serve as an excellent reference for graduate students and researchers interested in scientific computing and its applications.

Author : Bettina Albers,Mieczyslaw Kuczma
Publisher : Springer
Page : 418 pages
File Size : 48,7 Mb
Release : 2016-02-09
Category : Science
ISBN : 9783319282411

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Continuous Media with Microstructure 2 by Bettina Albers,Mieczyslaw Kuczma Pdf

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.

Author : Pasquale Giovine,Paolo Maria Mariano,Giuseppe Mortara
Publisher : Springer Nature
Page : 288 pages
File Size : 45,9 Mb
Release : 2020-11-09
Category : Mathematics
ISBN : 9783030492670

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Views on Microstructures in Granular Materials by Pasquale Giovine,Paolo Maria Mariano,Giuseppe Mortara Pdf

This contributed volume provides an up-to-date overview of the mechanics of granular materials, ranging from sparse media to soils. With chapters exploring state-of-the-art theoretical, experimental, and applied trends in the study of granular matter in various states, readers will be motivated to learn about the current challenges and potential avenues of exploration in this active area of research. Including a variety of perspectives, this volume will be a valuable reference for audiences in a number of fields. Specific topics covered include: X-ray tomography techniques for analyzing sand Evaluation of effective stress in unsaturated soils Hyper-plasticity Wave propagation in granular systems Partly saturated porous media Multi-scale approaches to the dynamics of sparse media Views on Microstructures in Granular Materials is an ideal resource for PhD students and researchers in applied mathematics, solid-state physics, civil engineering, and mechanical engineering.