Homogenization of Coupled Phenomena in Heterogenous Media

Fundamental questions then arise: Is such an equivalent macroscopic description possible? What is the domain of validity of this macroscopic description? The homogenization technique provides complete and rigorous answers to these questions.

This book aims to summarize the homogenization technique and its contribution to engineering sciences. Researchers, graduate students and engineers will find here a unified and concise presentation.

The book is divided into four parts whose main topics are

• Introduction to the homogenization technique for periodic or random media, with emphasis on the physics involved in the mathematical process and the applications to real materials.
• Heat and mass transfers in porous media
• Newtonian fluid flow in rigid porous media under different regimes
• Quasi-statics and dynamics of saturated deformable porous media

Each part is illustrated by numerical or analytical applications as well as comparison with the self-consistent approach.