Random Heterogeneous Materials, Softcover reprint of the original 1st ed. 2002
Microstructure and Macroscopic Properties
Interdisciplinary Applied Mathematics Series, Vol. 16

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Language: English

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703 p. · 17.8x25.4 cm · Paperback

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.

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

A unified approach of treating the microstructure and effective properties of heterogeneous media

Written in an accessible style

Sufficiently well-contained for the non-expert wishing to learn the field

Includes supplementary material: sn.pub/extras