Heterogeneous Materials I

• Characterization and Modelling of the Morphology.- Characterization of Connectivity and Clustering.- Characterization and Modelling of the Morphology.- Linear Transport and Optical Properties.- Effective Conductivity, Dielectric Constant and Optical Properties: The Continuum Approach.- Effective Conductivity and Dielectric Constant: The Discrete Approach.- Frequency-Dependent Properties: The Discrete Approach.- Rigidity and Elastic Properties: The Continuum Approach.- Rigidity and Elastic Properties: The Discrete Approach.- Rigidity and Elastic Properties of Network Glasses, Prolymers, and Composite Solids: the Discrete Approach.

From the reviews:"This work represents the first part of an impressive two-volume book that describes various theoretical and computational approaches related to effective macroscopic properties of heterogeneous materials. … A main goal is to compare two fundamental directions used to study the heterogeneous materials properties, namely the continuum mechanics approach and the discrete model approach. … This multidisciplinary book is recommended to materials scientists, chemical and mechanical engineers, and applied physicists and mathematicians." (Olivian Simionescu, Zentralblatt MATH, Vol. 1028, 2004)