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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.
List of contents
preliminary table of contents:
Introduction.- Background Results On Elasticity And Conductivity.- Quantitative Characterization Of Microstructures In The Context Of Effective Properties.- Inclusion And Inhomogeneity In An Infinite Space (Eshelby Problems).- Property Contribution Tensors.- Effective Properties Of Heterogeneous Materials.- Connections Between Elastic And Conductive Properties Of Heterogeneous Materials.- Multiple Cracks: Local Fields And Crack Interactions.- Applications To Specific Materials.
About the author
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.
Summary
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.
Report
"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)
