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.The first diagram in (5.42) is the probability that all three points fall in a single sphere. ... diagrams are not difficult to evaluate using existing accurate analytical approximations for g2 or via Monte Carlo simulations ... Torquato and Lado (1985 ) found an exact analytical expression for the matrix twopoint function S2(r12) for ananbsp;...
|Title||:||Random Heterogeneous Materials|
|Publisher||:||Springer Science & Business Media - 2013-04-17|