Micromechanics of Materials, with Applications

  • Mark Kachanov
  • Igor Sevostianov

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 249)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Mark Kachanov, Igor Sevostianov
    Pages 1-88
  3. Mark Kachanov, Igor Sevostianov
    Pages 127-188
  4. Mark Kachanov, Igor Sevostianov
    Pages 189-314
  5. Mark Kachanov, Igor Sevostianov
    Pages 315-467
  6. Mark Kachanov, Igor Sevostianov
    Pages 549-651
  7. Back Matter
    Pages 653-712

About this book


This book on micromechanics explores both traditional aspects and the advances made in the last 10–15 years. The viewpoint it assumes is that the rapidly developing field of micromechanics, apart from being of fundamental scientific importance, is motivated by materials science applications.

The introductory chapter provides the necessary background together with some less traditional material, examining e.g. approximate elastic symmetries, Rice’s technique of internal variables and multipole expansions. The remainder of the book is divided into the following parts: (A) classic results, which consist of Rift Valley Energy (RVE), Hill’s results, Eshelby’s results for ellipsoidal inhomogeneities, and approximate schemes for the effective properties; (B) results aimed at overcoming these limitations, such as volumes smaller than RVE, quantitative characterization of “irregular” microstructures, non-ellipsoidal inhomogeneities, and cross-property connections; (C) local fields and effects of interactions on them; and lastly (D) – the largest section – which explores applications to eight classes of materials that illustrate how to apply the micromechanics methodology to specific materials.


Micromechanics Eshelby Problems Microstructures Ellipsoidal Inhomogeneities Materials Science Internal Variables Elasticity and Conductivity Heterogeneous Materials

Authors and affiliations

  • Mark Kachanov
    • 1
  • Igor Sevostianov
    • 2
  1. 1.Department of Mechanical EngineeringTufts UniversityMedfordUSA
  2. 2.Department of Mechanical and Aerospace EngineeringNew Mexico State UniversityLas CrucesUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-76203-6
  • Online ISBN 978-3-319-76204-3
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • Buy this book on publisher's site