This volume offers a wide-ranging overview of recent progress in our understanding of the effective properties of heterogeneous materials, focusing on thermo-mechanical properties, materials science applications, and the benefits of faster computer processing.

The remainder of the book is divided into the following parts: (A) classic results, which consist of Rift Valley Energy (RVE), Hill's results, Eshelby's results for ellipsoidal inhomogeneities, and approximate schemes for the effective properties;