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 book addresses the growing field of random heterogeneous materials, aiming to fill gaps left by previous literature, particularly in the statistical characterization of microstructures and their impact on material properties. It offers a unified framework to analyze diverse heterogeneous materials, blending foundational theoretical methods with practical applications. While covering a wide range of topics, the author acknowledges the limitations in scope and the potential omission of some important contributions from colleagues in the field.