© 2018

Micromechanics of Materials, with Applications

  • Features a wealth of applications to specific materials

  • Focuses on materials with “irregular” microstructures

  • Covers cross-property connections

  • Requires only a basic grasp of continuum mechanics


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

  1. 1.Department of Mechanical EngineeringTufts UniversityMedfordUSA
  2. 2.Department of Mechanical and Aerospace EngineeringNew Mexico State UniversityLas CrucesUSA

About the authors

Mark Kachanov is a Professor of Mechanical Engineering and Editor-in-Chief of the International Journal of Engineering Science. 

Igor Sevostianov is a Dwight L. and Aubrey Chapman Distinguished Professor of Mechanical Engineering at New Mexico State University, USA. He serves on the editorial boards of several international journals.

Bibliographic information

  • Book Title Micromechanics of Materials, with Applications
  • Authors Mark Kachanov
    Igor Sevostianov
  • Series Title Solid Mechanics and Its Applications
  • Series Abbreviated Title Solid Mechanics, Applicat.
  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-76203-6
  • Softcover ISBN 978-3-030-09429-4
  • eBook ISBN 978-3-319-76204-3
  • Series ISSN 0925-0042
  • Series E-ISSN 2214-7764
  • Edition Number 1
  • Number of Pages XV, 712
  • Number of Illustrations 31 b/w illustrations, 189 illustrations in colour
  • Topics Solid Mechanics
    Characterization and Evaluation of Materials
    Classical Mechanics
    Mechanical Engineering
  • Buy this book on publisher's site
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“A useful contribution of this volume is thus the interplay between mechanics and materials science. A thorough bibliography is included … is best suited to researchers in the fields of micro-thermomechanics of solids and materials science. Summing Up: Recommended. Graduate students, researchers, and professionals.” (J. Lambropoulos, Choice, Vol. 56 (04), December, 2018)