Skip to main content
SpringerLink
Log in
Book cover

Self-Consistent Methods for Composites

Vol.2: Wave Propagation in Heterogeneous Materials

  • Book
  • © 2008

Overview

Authors:
  1. S. K. Kanaun

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

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. V. M. Levin

    1. Instituto Mexicano del Petróleo, México

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • The first in the world literature systematic development of self-consistent schemes (the effective medium and effective field methods) and their different versions in application to the problems of the mechanics and physics of heterogeneous materials
  • Contains many concrete results: explicit formulas for the effective properties of composite materials of various micro structures. These formulas will help material engineers to evaluate influence of details of material micro structures on the effective properties, and to create materials with an optimal specter of the properties
  • Presents comparisons of predictions of different self-consistent schemes with experimental results and numerical solutions existing in the literature. Such comparisons show the area of applications of self-consistent methods and the character of possible errors in their predictions
  • The most important part of the book (the second volume) contains applications of self-consistent methods to the problem of wave propagation through composite materials
  • Self-consistent solutions obtained cover long, middle and short wave regions of propagating waves. This makes the book a unique one: such an analysis does not exist in the monographic literature

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 150)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    Pages 1-4

  3. Self-consistent methods for scalar waves in composites

    Pages 5-19

  4. Electromagnetic waves in composites and polycrystals

    Pages 21-76

  5. Axial elastic shear waves in fiber-reinforced composites

    Pages 77-115

  6. Diffraction of long elastic waves by an isolated inclusion in a homogeneous medium

    Pages 117-154

  7. Effective wave operator for a medium with random isolated inclusions

    Pages 155-187

  8. Elastic waves in a medium with spherical inclusions

    Pages 189-256

  9. Elastic waves in polycrystals

    Pages 257-277

  10. Back Matter

    Pages 279-294
    Download chapter PDF
Back to top

Keywords

About this book

The book is dedicated to the application of self-consistent methods to the solution of static and dynamic problems of the mechanics and physics of composite materials. The effective elastic, electric, dielectric, thermo-conductive and other properties of composite materials reinforced by ellipsoidal, spherical multi-layered inclusions, thin hard and soft inclusions, short fibers and unidirected multi-layered fibers are considered. Explicit formulas and efficient computational algorithms for the calculation of the effective properties of the composites are presented and analyzed. The method of the effective medium and the method of the effective field are developed for the calculation of the phase velocities and attenuation of the mean (coherent) wave fields propagating in the composites. The predictions of the methods are compared with experimental data and exact solutions for the composites with periodical microstructures. The book may be useful for material engineers creating new composite materials and scholars who work on the theory of composite and non-homogeneous media.

Authors and Affiliations

  • Instituto Tecnológico y de Estudios Superiores de Monterrey, México

    S. K. Kanaun

  • Instituto Mexicano del Petróleo, México

    V. M. Levin

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation