Homogenization of Coupled Phenomena in Heterogenous Media: Fid-Bau Portal

Homogenization of Coupled Phenomena in Heterogenous Media

Auriault, Jean-Louis

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 ques

Homogenization of Coupled Phenomena in Heterogenous Media; Contents; Main notations; Introduction; Part one. Upscaling Methods; Chapter 1. An Introduction to Upscaling Methods; Chapter 2. Heterogenous Medium: Is an Equivalent Macroscopic Description Possible?; Chapter 3. Homogenization by Multiple Scale Asymptotic Expansions; Part two. Heat and Mass Transfer; Chapter 4. Heat Transfer in Composite Materials; Chapter 5. Diffusion/Advection in Porous Media; Chapter 6. Numerical and Analytical Estimates for the Effective Diffusion Coefficient.

Part three. Newtonian Fluid Flow Through Rigid Porous MediaChapter 7. Incompressible Newtonian Fluid Flow Through a Rigid Porous Medium; Chapter 8. Compressible Newtonian Fluid Flow Though a Rigid Porous Medium; Chapter 9. Numerical Estimation of the Permeability of Some Periodic Porous Media; Chapter 10. Self-consistent Estimates and Bounds for Permeability; Part four. Saturated Deformable Porous Media; Chapter 11. Quasi-statics of Saturated Deformable Porous Medi.