Homogenization of Coupled Phenomena in Heterogenous Media

Homogenization of Coupled Phenomena in Heterogenous Media

Author(s): Jean-Louis Auriault, Claude Boutin, Christian Geindreau

Published Online: 5 JAN 2010

Print ISBN: 9781848211612

Online ISBN: 9780470612033

DOI: 10.1002/9780470612033

About this Book

Both naturally-occurring and man-made materials are often heterogeneous materials formed of various constituents with different properties and behaviours. Studies are usually carried out on volumes of materials that contain a large number of heterogeneities. Describing these media by using appropriate mathematical models to describe each constituent turns out to be an intractable problem. Instead they are generally investigated by using an equivalent macroscopic description - relative to the microscopic heterogeneity scale - which describes the overall behaviour of the 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.

Table of contents

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  1. Part I: Upscaling Methods

  2. Part II: Heat and Mass Transfer

  3. Part III: Newtonian Fluid Flow Through Rigid Porous Media

  4. Part IV: Saturated Deformable Porous Media

    1. You have free access to this content
    1. You have free access to this content