Approximate Models Of Mechanics Of Composites

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Approximate Models Of Mechanics Of Composites

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Author : Igor V. Andrianov
language : en
Publisher: CRC Press
Release Date : 2024-06-20

Approximate Models Of Mechanics Of Composites written by Igor V. Andrianov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-20 with Science categories.

Approximate Models of Mechanics of Composites: An Asymptotic Approach is an essential guide to constructing asymptotic models and mathematical methods to correctly identify the mechanical behavior of composites. It provides methodology for predicting and evaluating composite behavior in various structures, leading to accurate mathematical and physical assessments. The book estimates the error of approximations through comparing asymptotic solutions with the results of numerical and analytical solutions to gain a holistic view of the data. The authors have developed asymptotic models based on mathematical and physical rigorous approaches, which include three-phase models of fibrous composites, a modernized three-phase composite model with cylindrical inclusions, and models of two-dimensional composites of hexagonal structure. Also covered are two-phase models of composites related to the Maxwell formula and a percolation transition model for elastic problems based on the self-consistency method and Padé approximations. By obtaining analytical expressions to effectively characterize composite materials, their physical and geometric parameters can be accurately assessed. This book suits engineers and students working in material science, mechanical engineering, physics, and mathematics, as well as composite materials in industries such as construction, transport, aerospace, and chemical engineering.

Asymptotic Models Of Fields In Dilute And Densely Packed Composites

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Author : A B Movchan
language : en
Publisher: World Scientific
Release Date : 2002-11-06

Asymptotic Models Of Fields In Dilute And Densely Packed Composites written by A B Movchan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-06 with Science categories.

This monograph provides a systematic study of asymptotic models of continuum mechanics for composite structures, which are either dilute (for example, two-phase composite structures with small inclusions) or densely packed (in this case inclusions may be close to touching). It is based on the results of recent research and includes a comprehensive analysis of dipole and multipole fields associated with defects in solids. The text covers static problems of elasticity in dilute composites as well as spectral problems. Applications of the mathematical models included in the book are in damage mechanics and in problems of design of composite structures that can be used as filters or polarisers of elastic waves.Dipole tensors are defined in Chapter 1 both for scalar boundary value problems for the Laplacian and for vector problems of elasticity. In Chapter 2 the dipole tensors are used in spectral problems involving domains with small defects. Chapter 3 introduces a multipole method for static problems (both electrostatics and elasticity) in composite structures containing doubly periodic arrays of circular inclusions. Chapter 4 presents a multipole method for eigenvalue problems of electromagnetism and elasticity.

Advanced Mechanics Of Composite Materials

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Author : Valery V. Vasiliev
language : en
Publisher: Elsevier
Release Date : 2007-05-16

Advanced Mechanics Of Composite Materials written by Valery V. Vasiliev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-16 with Technology & Engineering categories.

Composite materials have been representing most significant breakthroughs in various industrial applications, particularly in aerospace structures, during the past thirty five years. The primary goal of Advanced Mechanics of Composite Materials is the combined presentation of advanced mechanics, manufacturing technology, and analysis of composite materials. This approach lets the engineer take into account the essential mechanical properties of the material itself and special features of practical implementation, including manufacturing technology, experimental results, and design characteristics. Giving complete coverage of the topic: from basics and fundamentals to the advanced analysis including practical design and engineering applications. At the same time including a detailed and comprehensive coverage of the contemporary theoretical models at the micro- and macro- levels of material structure, practical methods and approaches, experimental results, and optimisation of composite material properties and component performance. The authors present the results of more than 30 year practical experience in the field of design and analysis of composite materials and structures. * Eight chapters progressively covering all structural levels of composite materials from their components through elementary plies and layers to laminates* Detailed presentation of advanced mechanics of composite materials * Emphasis on nonlinear material models (elasticity, plasticity, creep) and structural nonlinearity

Micromechanics Of Composites

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Author : Volodymyr Kushch
language : en
Publisher: Butterworth-Heinemann
Release Date : 2013-05-13

Micromechanics Of Composites written by Volodymyr Kushch and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Technology & Engineering categories.

Micromechanics of Composites: Multipole Expansion Approach is the first book to introduce micromechanics researchers to a more efficient and accurate alternative to computational micromechanics, which requires heavy computational effort and the need to extract meaningful data from a multitude of numbers produced by finite element software code. In this book Dr. Kushch demonstrates the development of the multipole expansion method, including recent new results in the theory of special functions and rigorous convergence proof of the obtained series solutions. The complete analytical solutions and accurate numerical data contained in the book have been obtained in a unified manner for a number of the multiple inclusion models of finite, semi- and infinite heterogeneous solids. Contemporary topics of micromechanics covered in the book include composites with imperfect and partially debonded interface, nanocomposites, cracked solids, statistics of the local fields, and brittle strength of disordered composites. - Contains detailed analytical and numerical analyses of a variety of micromechanical multiple inclusion models, providing clear insight into the physical nature of the problems under study - Provides researchers with a reliable theoretical framework for developing the micromechanical theories of a composite's strength, brittle/fatigue damage development and other properties - Includes a large amount of highly accurate numerical data and plots for a variety of model problems, serving as a benchmark for testing the applicability of existing approximate models and accuracy of numerical solutions

Mechanics Of Composite Materials

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Author : Jacob Aboudi
language : en
Publisher: Elsevier
Release Date : 2013-10-22

Mechanics Of Composite Materials written by Jacob Aboudi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.

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.

Finite Element Modelling Of Composite Materials And Structures

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Author : F L Matthews
language : en
Publisher: Elsevier
Release Date : 2000-10-27

Finite Element Modelling Of Composite Materials And Structures written by F L Matthews and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-27 with Technology & Engineering categories.

Finite element modelling of composite materials and structures provides an introduction to a technique which is increasingly being used as an analytical tool for composite materials.The text is presented in four parts: - Part one sets the scene and reviews the fundamentals of composite materials together with the basic nature of FRP and its constituents. Two-dimensional stress-strain is covered, as is laminated plated theory and its limitations. - Part two reviews the basic principles of FE analysis, starting with underlying theoretical issues and going on to show how elements are derived, a model is generated and results are processed. - Part three builds on the basics of FE analysis and considers the particular issues that arise in applying finite elements to composites, especially to the layered nature of the material. - Part four deals with the application of FE to FRP composites, presenting analytical models alongside FE representations. Specific issues addressed include interlaminar stresses, fracture delamination, joints and fatigue.This book is invaluable for students of materials science and engineering, and for engineers and others wishing to expand their knowledge of structural analysis. - Covers important work on finite element analysis of composite material performance - Based on material developed for an MSc course at Imperial College, London, UK - Covers particular problems such as holes, free edges with FE results compared with experimental data and classical analysis

Micromechanics Of Composite Materials

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Author : George Dvorak
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-09

Micromechanics Of Composite Materials written by George Dvorak 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 2012-12-09 with Science categories.

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.

Mechanics Of Composite Materials

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Author : J.N. Reddy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18

Mechanics Of Composite Materials written by J.N. Reddy 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 2013-04-18 with Science categories.

Everyone involved with the mechanics of composite materials and structures must have come across the works of Dr. N.J. Pagano in their research. His research papers are among the most referenced of all existing literature in the field of mechanics of composite materials. This monograph makes available, in one volume, all Dr. Pagano's major technical papers. Most of the papers included in this volume have been published in the open literature, but there are a few exceptions -- a few key, unpublished reports have been included for continuity. The topics are: some basic studies of anisotropic behavior, exact solutions for elastic response, role of micromechanics, and some carbon--carbon spinoffs. The volume can be used as a reference book by researchers in academia, industry, and government laboratories, and it can be used as a reference text for a graduate course on the mechanics of composite materials.

Mechanics And Analysis Of Composite Materials

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Author : Valery V. Vasiliev
language : en
Publisher: Elsevier
Release Date : 2001-02-08

Mechanics And Analysis Of Composite Materials written by Valery V. Vasiliev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-08 with Technology & Engineering categories.

This book is concerned with the topical problems of mechanics of advanced composite materials whose mechanical properties are controlled by high-strength and high-stiffness continuous fibers embedded in polymeric, metal, or ceramic matrix. Although the idea of combining two or more components to produce materials with controlled properties has been known and used from time immemorial, modern composites were only developed several decades ago and have now found intensive application in different fields of engineering, particularly in aerospace structures for which high strength-to-weight and stiffness-to-weight ratios are required.There already exist numerous publications that cover anisotropic elasticity, mechanics of composite materials, design, analysis, fabrication, and application of composite structures but the difference between this book and the existing ones is that this is of a more specific nature. It covers specific features of material behaviour such as nonlinear elasticity, plasticity, creep, and structural nonlinearity and discusses in detail the problems of material micro- and macro-mechanics that are only slightly touched in existing books, e.g. stress diffusion in a unidirectional material with broken fibers, physical and statistical aspects of fiber strength, coupling effects in anisotropic and laminated materials, etc.The authors are designers of composite structures who were involved in practically all the main Soviet and then Russian projects in composite technology, and the permission of the Russian Composite Center - Central Institute of Special Machinery (CRISM) to use in this book the pictures of structures developed and fabricated in CRISM as part of the joint research and design project is much appreciated.Mechanics and Analysis of Composite Materials consists of eight chapters progressively covering all structural levels of composite materials from their components through elementary plies and layers to laminates.

Engineering Mechanics Of Composite Materials

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Author : Isaac M. Daniel
language : en
Publisher: Oxford University Press, USA
Release Date : 1994

Engineering Mechanics Of Composite Materials written by Isaac M. Daniel and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Composite materials categories.

The field of composite materials is rapidly expanding with increasing applications in aircraft, automobiles, leisure and biomedical products, and infrastructure. Composite materials have unique qualities of high strength and stiffness, are light weight, and can be designed to suit the intended application. This up-to-date introductory textbook on the mechanics of structural composite materials is aimed at both undergraduate and beginning graduate students and also at the newcomer to the field of composites. The material presented has been drawn from extensive course notes developed by both authors over many years. Beginning with basic concepts, definitions, and an overview of the current status of composites technology, the reader is taken through the theory and experimental results of research with many types of composites materials. The authors emphasize computational procedures and include flow charts for computations. The design methodology and optimization process for composite structures are described and illustrated with specific examples. One extensive chapter is devoted to experimental characterization and testing, including the latest test methods and ASTM standards. A wide variety of instructional sample problems and solutions are included. Engineering Mechanics of Composite Materials is an essential teaching tool and a self-study reference in composite materials.