Micromechanics of Materials, with Applications

Description

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. Front Matter ....Pages i-xv Background Results on Elasticity and Conductivity (Mark Kachanov, Igor Sevostianov)....Pages 1-88 Quantitative Characterization of Microstructures in the Context of Effective Properties (Mark Kachanov, Igor Sevostianov)....Pages 89-126 Inclusion and Inhomogeneity in an Infinite Space (Eshelby Problems) (Mark Kachanov, Igor Sevostianov)....Pages 127-188 Property Contribution Tensors of Inhomogeneities (Mark Kachanov, Igor Sevostianov)....Pages 189-314 Effective Properties of Heterogeneous Materials (Mark Kachanov, Igor Sevostianov)....Pages 315-467 Connections Between Elastic and Conductive Properties of Heterogeneous Materials. Other Cross-Property Relations (Mark Kachanov, Igor Sevostianov)....Pages 469-548 Applications to Specific Materials (Mark Kachanov, Igor Sevostianov)....Pages 549-651 Back Matter ....Pages 653-712