Random heterogeneous materials : microstructure and macroscopic properties
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Bibliographic Information
Random heterogeneous materials : microstructure and macroscopic properties
（Interdisciplinary applied mathematics, vol.16）
Springer-Verlag, c2002
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National Institutes of Natural Sciences Okazaki Library and Information Center図
501.4/Ra9990566821
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This accessible text presents a unified approach of treating the microstructure and effective properties of heterogeneous media. Part I deals with the quantitative characterization of the microstructure of heterogeneous via theoretical methods; Part II treats a wide variety of effective properties of heterogeneous materials and how they are linked to the microstructure, accomplished by using rigorous methods.
Table of Contents
Motivation and overview * PART I Microstructural characterization * Microstructural descriptors * Statistical mechanics of particle systems * Unified approach * Monodisperse spheres * Polydisperse spheres * Anisotropic media * Cell and random-field models * Percolation and clustering * Some continuum percolation results * Local volume fraction fluctuation * computer simulation and image analysis * PART II Microstructure property connections * Local and homogenized equations * Variational Principles * Phase-interchange relations * Exact results * Single-inclusion solutions * Effective medium approximations * Cluster expansions * Exact contrast expansions * Rigorous bounds * Evaluation of bounds * Cross-property relations * Appendix A Equilibrium Hard disk program * Appendix B Interrelations among 2-3D moduli* References * Index
by "Nielsen BookData"
