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Elastic Media With Microstructure
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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.
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 ...
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:
Book Synopsis Microstructures in Elastic Media by : Nhan Phan-Thien
Download or read book Microstructures in Elastic Media written by Nhan Phan-Thien and published by Oxford University Press, USA. This book was released on 1994 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Random Heterogeneous Materials by : Salvatore Torquato
Download or read book Random Heterogeneous Materials written by Salvatore Torquato and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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:
Book Synopsis Diffraction Analysis of the Microstructure of Materials by : Eric J. Mittemeijer
Download or read book Diffraction Analysis of the Microstructure of Materials written by Eric J. Mittemeijer and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overview of diffraction methods applied to the analysis of the microstructure of materials. Since crystallite size and the presence of lattice defects have a decisive influence on the properties of many engineering materials, information about this microstructure is of vital importance in developing and assessing materials for practical applications. The most powerful and usually non-destructive evaluation techniques available are X-ray and neutron diffraction. The book details, among other things, diffraction-line broadening methods for determining crystallite size and atomic-scale strain due, e.g. to dislocations, and methods for the analysis of residual (macroscale) stress. The book assumes only a basic knowledge of solid-state physics and supplies readers sufficient information to apply the methods themselves.
Book Synopsis Non-Classical Elastic Solids by : Michele Ciarletta
Download or read book Non-Classical Elastic Solids written by Michele Ciarletta and published by CRC Press. This book was released on 2020-11-25 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems concerning non-classical elastic solids continue to attract the attention of mathematicians, scientists and engineers. Research in this area addresses problems concerning many substances, such as crystals, polymers, composites, ceramics and blood. This comprehensive, accessible work brings together recent research in this field, and will be of great interest to mathematicians, physicists and other specialists working in this area.
Book Synopsis Micromechanics of Defects in Solids by : T. Mura
Download or read book Micromechanics of Defects in Solids written by T. Mura and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book stems from a course on Micromechanics that I started about fifteen years ago at Northwestern University. At that time, micromechanics was a rather unfamiliar subject. Although I repeated the course every year, I was never convinced that my notes have quite developed into a final manuscript because new topics emerged constantly requiring revisions, and additions. I finally came to realize that if this is continued, then I will never complete the book to my total satisfaction. Meanwhile, T. Mori and I had coauthored a book in Japanese, entitled Micromechanics, published by Baifu-kan, Tokyo, in 1975. It received an extremely favorable response from students and re searchers in Japan. This encouraged me to go ahead and publish my course notes in their latest version, as this book, which contains further development of the subject and is more comprehensive than the one published in Japanese. Micromechanics encompasses mechanics related to microstructures of materials. The method employed is a continuum theory of elasticity yet its applications cover a broad area relating to the mechanical behavior of materi als: plasticity, fracture and fatigue, constitutive equations, composite materi als, polycrystals, etc. These subjects are treated in this book by means of a powerful and unified method which is called the 'eigenstrain method. ' In particular, problems relating to inclusions and dislocations are most effectively analyzed by this method, and therefore, special emphasis is placed on these topics.
Book Synopsis Microstructural Randomness and Scaling in Mechanics of Materials by : Martin Ostoja-Starzewski
Download or read book Microstructural Randomness and Scaling in Mechanics of Materials written by Martin Ostoja-Starzewski and published by CRC Press. This book was released on 2007-08-13 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Wave Processes in Solids with Microstructure by : Vladimir I. Erofeyev
Download or read book Wave Processes in Solids with Microstructure written by Vladimir I. Erofeyev and published by World Scientific. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Views on Microstructures in Granular Materials by : Pasquale Giovine
Download or read book Views on Microstructures in Granular Materials written by Pasquale Giovine and published by Springer Nature. This book was released on 2020-11-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Continuous Media with Microstructure 2 by : Bettina Albers
Download or read book Continuous Media with Microstructure 2 written by Bettina Albers and published by Springer. This book was released on 2016-02-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Micromechanics of Heterogeneous Materials by : Valeriy Buryachenko
Download or read book Micromechanics of Heterogeneous Materials written by Valeriy Buryachenko and published by Springer Science & Business Media. This book was released on 2007-09-20 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an accurate and timely account of micromechanics, which spans materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. The book features rigorous and unified theoretical methods of applied mathematics and statistical physics in the material science of microheterogeneous media. Uniquely, it offers a useful demonstration of the systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature.
Book Synopsis Acoustic Interactions With Submerged Elastic Structures - Part Ii: Propagation, Ocean Acoustics And Scattering by : Juri Engelbrecht
Download or read book Acoustic Interactions With Submerged Elastic Structures - Part Ii: Propagation, Ocean Acoustics And Scattering written by Juri Engelbrecht and published by World Scientific. This book was released on 2001-07-31 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner-Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details.A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects.
Book Synopsis Micromechanics of Composites by : Volodymyr Kushch
Download or read book Micromechanics of Composites written by Volodymyr Kushch and published by Butterworth-Heinemann. This book was released on 2020-02-15 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: Micromechanics of Composites: Multipole Expansion Approach, Second Edition outlines substantial recent progress in the development of the multipole expansion method and focuses on its application to actual micromechanical problems. The book covers micromechanics topics such as conductivity and elasticity of particulate and fibrous composites, including those with imperfect and partially debonded interfaces, nanocomposites, cracked solids, and more. Complete analytical solutions and accurate numerical data are presented in a unified manner for the multiple inhomogeneity models of finite, semi-, and infinite heterogeneous solids. This new edition has been updated to include the theories and techniques of the multipole expansion method. Two entirely new chapters covering the conductivity and elasticity of composites with ellipsoidal inhomogeneities and anisotropic constituents have been added. A special emphasis is made on the heterogeneous solids with imperfect interfaces, including the nanoporous and nanocomposite materials. - Gives a systematic account on the multipole expansion method, including its theoretical foundations, analytical and numerical techniques, and a new, dipole moment-based approach to the homogenization problem - Contains detailed analytical and numerical analyses of a variety of micromechanical multiple inhomogeneity models, providing clear insight into the physical nature of the problems under study - Provides a reliable theoretical framework for developing the full-field based micromechanical theories of a composite's strength, brittle/fatigue damage development, and other properties
Book Synopsis Mechanics of Asphalt: Microstructure and Micromechanics by : Linbing Wang
Download or read book Mechanics of Asphalt: Microstructure and Micromechanics written by Linbing Wang and published by McGraw Hill Professional. This book was released on 2010-10-08 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
