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Self-Consistent Methods for Composites

Vol.1: Static Problems

  • Book
  • © 2008

Overview

Authors:
  1. S. K. Kanaun

    1. Instituto Tecnológico y de Estudios Superiores de Monterrey, México

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  2. V. M. Levin

    1. Instituto Mexicano del Petroleo, México

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    You can also search for this author in PubMed   Google Scholar

  • The first volume on systematic development of self-consistent schemes (the method of the effective medium and the method of the effective field) and their different versions in application to the problems of the mechanics and physics of composite materials
  • Contains many concrete results: explicit formulas for the effective properties of composite materials of various micro-structures
  • Helps materials engineers evaluate the influence of the details of the material micro-structures on the effective properties of the composite materials, and to create the materials with an optimal specter of properties
  • Includes comparisons of the predictions of different self-consistent schemes with experimental results and numerical solutions
  • The most important part is the application of the self-consistent method to the problem of wave propagation through composite materials
  • The obtained self-consistent solutions cover the long, middle and short wave region of propagating waves

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 148)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction

    Pages 1-8

  3. An elastic medium with sources of external and internal stresses

    Pages 9-33

  4. Equilibrium of a homogeneous elastic medium with an isolated inclusion

    Pages 35-96

  5. Thin inclusion in a homogeneous elastic medium

    Pages 97-116

  6. Hard fiber in a homogeneous elastic medium

    Pages 117-137

  7. Termal and electric fields in a medium with an isolated inclusion

    Pages 139-153

  8. Homogeneous elastic medium with a set of isolated inclusions

    Pages 155-258

  9. Multiparticle interactions in composites

    Pages 259-280

  10. Thermo- and electroconductive properties of composites

    Pages 281-319

  11. Back Matter

    Pages 321-376
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Keywords

About this book

The theory of heterogeneous materials has been intensively developed during the past few decades. The main reason for the interest of many researchers in this part of the mechanics of solids is the wide area of application of hete- geneous materials in modern material engineering. Self-consistent methods form a well-known branch of the theory of heterogeneous materials. In most books devoted to the mechanics and physics of heterogeneous media, the reader can ?nd self-consistent solutions. But there are no books covering the entire spectrum of self-consistent methods in application to the calculation of static and dynamic properties of heterogeneous materials. This book has been written to cover this gap. It is written for engineers because here they can ?nd the equations for the e?ective properties of composites reinforced with various types of inclusions. The main advantage of self-consistent methods is that they give relatively simple equations for the e?ective parameters of composites. Such equations for static and dynamic properties of matrix composites reinforced with va- oustypesofinclusions,forporousmedia,mediawithcracksandotherdefects, for polycrystals, etc., are widely used in engineering practice, and many new self-consistent solutions are presented in the book. This book is written also for scholars who wish to develop the theory of heterogenousmedia.Inthebooktheywill ?ndthebasicideasandalgorithms for the construction of self-consistent solutions. The book shows how these methods may be applied to composites with inclusions of complex structures, toproblemsofwavepropagation,forcalculationofhigherstatisticalmoments of physical ?elds in composites. Various ways for improving self-consistent solutions are proposed and discussed.

Authors and Affiliations

  • Instituto Tecnológico y de Estudios Superiores de Monterrey, México

    S. K. Kanaun

  • Instituto Mexicano del Petroleo, México

    V. M. Levin

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