Heterogeneous Media

Micromechanics Modeling Methods and Simulations

Author: Konstantin Markov,Luigi Preziosi

Publisher: Springer Science & Business Media

ISBN: 1461213320

Category: Technology & Engineering

Page: 477

View: 9103

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Most materials used in contemporary life and industry are heterogeneous (composites) and multicomponent, possessing a rich and complex internal structure. This internal structure, or microstructure, plays a key role in understanding and controlling the continuum behavior, or macroscopic, of a wide variety of materials. The modeling process is a critical tool for scientists and engineers studying the analysis and experimentation for the micromechanics and behavior of these materials. "Heterogeneous Media" is a critical, in-depth edited survey of the major topics surrounding the modeling and analysis of problems in micromechanics of multicomponent systems, including conceptual and practical aspects. The goal of this extensive and comprehensive survey is to provide both specialists and nonspecialists with an authoritative and interdisciplinary perspective of current ideas and methods used for modeling heterogeneous materials behavior and their applications. Topics and Features: * all chapters use interdisciplinary modeling perspective for investigating heterogeneous media*Five chapters provide self-contained discussions, with background provided*Focuses only upon most important techniques and models, fully exploring micro-macro interconnections*extensive introductory survey chapter on micromechanics of heterogeneous media*microstructure characterization via statistical correlation functions*micro-scale deformation of pore space*wave fields and effective dynamical properties*modeling of the complex production technologies for composite materials The book is ideal for a general scientific and engineering audience needing an in-depth view and guide to current ideas, methods and

Design and Analysis of Materials and Engineering Structures

Author: Andreas Öchsner,Lucas F. M. da Silva,Holm Altenbach

Publisher: Springer Science & Business Media

ISBN: 3642322948

Category: Technology & Engineering

Page: 180

View: 4092

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The idea of this monograph is to present the latest results related to design and analysis of materials and engineering structures. The contributions cover the field of mechanical and civil engineering, ranging from automotive to dam design, transmission towers and up to machine design and exmaples taken from oil industry. Well known experts present their research on damage and fracture of material and structures, materials modelling and evaluation up to image processing and visualization for advanced analyses and evaluation

Computational methods in micromechanics

presented at the 1995 ASME International Mechanical Engineering Congress and Exposition, November 12-17, 1995, San Francisco, California

Author: American Society of Mechanical Engineers. Applied Mechanics Division,American Society of Mechanical Engineers. Materials Division

Publisher: Amer Society of Mechanical

ISBN: 9780791817285

Category: Science

Page: 175

View: 7529

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Micromechanics of Heterogeneous Materials

Author: Valeriy Buryachenko

Publisher: Springer Science & Business Media

ISBN: 0387684859

Category: Technology & Engineering

Page: 687

View: 4693

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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.

Multiscale Modeling of Heterogeneous Structures

Author: Jurica Sorić,Peter Wriggers,Olivier Allix

Publisher: Springer

ISBN: 3319654632

Category: Technology & Engineering

Page: 381

View: 5777

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This book provides an overview of multiscale approaches and homogenization procedures as well as damage evaluation and crack initiation, and addresses recent advances in the analysis and discretization of heterogeneous materials. It also highlights the state of the art in this research area with respect to different computational methods, software development and applications to engineering structures. The first part focuses on defects in composite materials including their numerical and experimental investigations; elastic as well as elastoplastic constitutive models are considered, where the modeling has been performed at macro- and micro levels. The second part is devoted to novel computational schemes applied on different scales and discusses the validation of numerical results. The third part discusses gradient enhanced modeling, in particular quasi-brittle and ductile damage, using the gradient enhanced approach. The final part addresses thermoplasticity, solid-liquid mixtures and ferroelectric models. The contents are based on the international workshop “Multiscale Modeling of Heterogeneous Structures” (MUMO 2016), held in Dubrovnik, Croatia in September 2016.

Numerical Simulation of Waves and Fronts in Inhomogeneous Solids

Author: Arkadi Berezovski,Jri Engelbrecht,G‚rard A. Maugin

Publisher: World Scientific

ISBN: 981283267X

Category: Science

Page: 223

View: 2420

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This book shows the advanced methods of numerical simulation of waves and fronts propagation in inhomogeneous solids and introduces related important ideas associated with the application of numerical methods for these problems. Great care has been taken throughout the book to seek a balance between the thermomechanical analysis and numerical techniques. It is suitable for advanced undergraduate and graduate courses in continuum mechanics and engineering. Necessary prerequisites for this text are basic continuum mechanics and thermodynamics. Some elementary knowledge of numerical methods for partial differential equations is also preferable.

Effective Properties of Heterogeneous Materials

Author: Mark Kachanov,Igor Sevostianov

Publisher: Springer Science & Business Media

ISBN: 9400757158

Category: Technology & Engineering

Page: 389

View: 8423

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The book contains state-of the-art reviews in the area of effective properties of heterogeneous materials - the classical field at interface of materials science and solid mechanics. The primary focus is on thermo-mechanical properties, materials science applications, as well as computational aspects and new opportunities provided by rapidly increasing computer powers. The reviews are at the level that is appropriate for a substantial community of researchers working in this field, both at universities and in the industry, and to graduate students. The book can be used as supplementary reading to graduate level courses.

Principles of Multiscale Modeling

Author: Weinan E

Publisher: Cambridge University Press

ISBN: 1107096545

Category: Mathematics

Page: 466

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A systematic discussion of the fundamental principles, written by a leading contributor to the field.

Multiscale Modeling and Simulation of Composite Materials and Structures

Author: Young Kwon,David H. Allen,Ramesh R. Talreja

Publisher: Springer Science & Business Media

ISBN: 9780387363189

Category: Technology & Engineering

Page: 630

View: 5679

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This book presents the state-of-the-art in multiscale modeling and simulation techniques for composite materials and structures. It focuses on the structural and functional properties of engineering composites and the sustainable high performance of components and structures. The multiscale techniques can be also applied to nanocomposites which are important application areas in nanotechnology. There are few books available on this topic.

Micromechanics of Composite Materials

Author: George Dvorak

Publisher: Springer Science & Business Media

ISBN: 9400741014

Category: Technology & Engineering

Page: 442

View: 3699

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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.

Continuum Micromechanics

Author: P. Suquet

Publisher: Springer

ISBN: 3709126622

Category: Technology & Engineering

Page: 347

View: 7317

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This book presents the most recent progress of fundamental nature made in the new developed field of micromechanics: transformation field analysis, variational bounds for nonlinear composites, higher-order gradients in micromechanical damage models, dynamics of composites, pattern based variational bounds.

Microstructural Randomness and Scaling in Mechanics of Materials

Author: Martin Ostoja-Starzewski

Publisher: CRC Press

ISBN: 9781420010275

Category: Science

Page: 497

View: 1685

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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 mechanics of random media and illustrates these in a variety of applications. The book first offers a refresher in several tools used in stochastic mechanics, followed by two chapters that outline periodic and disordered planar lattice (spring) networks. Subsequent chapters discuss stress invariance in classical planar and micropolar elasticity and cover several topics not yet collected in book form, including the passage of a microstructure to an effective micropolar continuum. After forming this foundation in various methods of stochastic mechanics, the book focuses on problems of microstructural randomness and scaling. It examines both representative and statistical volume elements (RVEs/SVEs) as well as micromechanically based stochastic finite elements (SFEs). The author also studies nonlinear elastic and inelastic materials, the stochastic formulation of thermomechanics with internal variables, and wave propagation in random media. The concepts discussed in this comprehensive book can be applied to many situations, from micro and nanoelectromechanical systems (MEMS/NEMS) to geophysics.

An Introduction to Computational Micromechanics

Author: Tarek I. Zohdi,Peter Wriggers

Publisher: Springer Science & Business Media

ISBN: 3540323600

Category: Technology & Engineering

Page: 195

View: 9018

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In this, its second corrected printing, Zohdi and Wriggers’ illuminating text presents a comprehensive introduction to the subject. The authors include in their scope basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. This volume is ideal for researchers and engineers, and can be used in a first-year course for graduate students with an interest in the computational micromechanical analysis of new materials.

Micromechanics and Inhomogeneity

The Toshio Mura 65th Anniversary Volume

Author: G.J. Weng,M. Taya,H. Abe

Publisher: Springer Science & Business Media

ISBN: 1461389194

Category: Science

Page: 632

View: 549

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Toshio Mura has written extensively on micromechanics over the years, and in part due to his writings and many others in the field, micromechanics has gradually emerged as a recognized discipline in the study of mechanics of materials. The idea is to bring both the mechanics and physics on the micro scopic level to the macroscopic scale, so that the deformation and fracture processes of materials can be better understood. While much apparently remains to be done, this approach has already shed new light on certain selected topics and has proved to be fruitful. It is indeed a happy occasion to celebrate both Toshio's upcoming 65th birthday and the emergence of this young science at the same time. The volume contains thirty-seven original articles on the related topics of micromechanics and inhomogeneity; it is presented to Toshio by his friends, colleagues, and admirers as a wish for his good health and continuing pro ductivity. The contributors belong to both the applied mechanics and the materials communities, all with a common belief that micromechanics is an indispensable area of research. It is hoped that this somewhat balanced structure will make the volume more useful to a wider range of readers, and that in the meantime it will still reflect more or less the spectrum of Toshio's lifelong works. As Editors we have at the outset set the highest possible standards for the book, with a keen anticipation that the volume will be widely circulated for many years to come.

Micromechanics of Composite Materials

A Generalized Multiscale Analysis Approach

Author: Jacob Aboudi,S. M. Arnold,Brett A. Bednarcyk

Publisher: Butterworth-Heinemann

ISBN: 0123970350

Category: Technology & Engineering

Page: 984

View: 3339

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Summary: A Generalized Multiscale Analysis Approach brings together comprehensive background information on the multiscale nature of the composite, constituent material behaviour, damage models and key techniques for multiscale modelling, as well as presenting the findings and methods, developed over a lifetime's research, of three leading experts in the field. The unified approach presented in the book for conducting multiscale analysis and design of conventional and smart composite materials is also applicable for structures with complete linear and nonlinear material behavior, with numerous applications provided to illustrate use. Modeling composite behaviour is a key challenge in research and industry; when done efficiently and reliably it can save money, decrease time to market with new innovations and prevent component failure.

Advances in Bifurcation and Degradation in Geomaterials

Proceedings of the 9th International Workshop on Bifurcation and Degradation in Geomaterials

Author: Stéphane Bonelli,Cristian Dascalu,François Nicot

Publisher: Springer Science & Business Media

ISBN: 9400714211

Category: Technology & Engineering

Page: 362

View: 883

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This book presents contributions to the 9th International Workshop on Bifurcation and Degradation in Geomaterials held in Porquerolles, France, May 23-26, 2011. This series of conferences, started in the early 1980s, is dedicated to the research on degradation and instability phenomena in geomaterials. The volume gathers a series of manuscripts by brilliant international scholars reflecting recent trends in theoretical and experimental research in geomechanics. It incorporates contributions on topics like instability analysis, localized and diffuse failure description, multi-scale modeling and applications to geo-environmental issues. This book will be valuable for anyone interested in the research on degradation and instabilities in geomechanics and geotechnical engineering, appealing to graduate students, researchers and engineers alike.

Mechanics of Composite Materials

A Unified Micromechanical Approach

Author: Jacob Aboudi

Publisher: Elsevier

ISBN: 1483290999

Category: Technology & Engineering

Page: 341

View: 5444

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In the last decade the author has been engaged in developing a micromechanical composite model based on the study of interacting periodic cells. In this two-phase model, the inclusion is assumed to occupy a single cell whereas the matrix material occupies several surrounding cells. A prominent feature of the micromechanical method of cells is the transition from a medium, with a periodic microstructure to an equivalent homogeneous continuum which effectively represents the composite material. Of great importance is the significant advantage of the cells model in its capability to analyze elastic as well as nonelastic constituents (e.g. viscoelastic, elastoplastic and nonlinear elastic), thus forming a unified approach in the prediction of the overall behaviour of composite material. This book deals almost exclusively with this unified theory and its various applications.