Micromechanics : overall properties of heterogeneous materials / Sia Nemat-Nasser, Muneo Hori

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In this second edition of Micromechanics: Overall Properties of Heterogeneous Materials, several new topics of technological interest are added. The added topics include: coupled mechanical and nonmechanical overall properties of heterogeneous piezoelectric materials (Subsection 2.8), new upper and lower bounds for these coupled properties (Subsection 9.8), a systematic comparison between the ayerage field theory and the results obtained using multi-scale per-turbation theory (Appendix B), an account of the uniform-field theory (Appen-dix C), improveable bounds on overall moduli of heterogeneous materials, which remain finite even when isolated cavities and rigid inclusions are present (Appendix D), and a brief account of a fundamental duality principie in aniso-tropic elasticity (Subsection 21.6). In addition, better explanations of a number of topics are given, more recent references are added, the Subject Index is expanded, and printing and typographical errors are corrected. The structure of the first edition remains intact. As before, the book consists of two parts. The content of each part is briefly reviewed in the correspond-ing précis. The Précis to Part 1 starts on page 3, and the Précis to Part 2, on page 617. Part 1 consists of four chapters which are organized into fourteen sections and four appendixes. It deals with materials with microdefects such as cavities, cracks, and inclusions, as well as with elastic composites. Part 2 consists of two chapters which are divided into seven sections, Sections fifteen to twenty-one. It provides an introduction to the theory of linear elasticity, added to make the book self-contained, since linear elasticity serves as the basis of the development of small-deformation micromechanics