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Micromechanics of Materials, with Applications

  • Book
  • © 2018

Overview

  • 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 book series: Solid Mechanics and Its Applications (SMIA, volume 249)

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Table of contents (7 chapters)

Keywords

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 fieldsand 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.

Reviews

“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)

Authors and Affiliations

  • Department of Mechanical Engineering, Tufts University, Medford, USA

    Mark Kachanov

  • Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, USA

    Igor Sevostianov

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.

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