Random Heterogeneous Materials, Softcover reprint of the original 1st ed. 2002 Microstructure and Macroscopic Properties Interdisciplinary Applied Mathematics Series, Vol. 16
Langue : Anglais
Auteur : Torquato Salvatore
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
Date de parution : 03-2013
Ouvrage de 703 p.
17.8x25.4 cm
Thèmes de Random Heterogeneous Materials :
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