Series on Advances in Mathematics for Applied Sciences - Vol. 35
MECHANICS OF MIXTURES
by K R Rajagopal (Univ. Pittsburgh) & L Tao (Viscoustech Inc.)
This book presents a unified treatment of the mechanics of mixtures of several constituents within the context of continuum mechanics. After an introduction to the basic theory in the first few chapters, the book deals with a detailed exposition of the mechanics of a mixture of a fluid and an elastic solid, which is either isotropic or anisotropic and is capable of undergoing large deformations. Issues regarding the specification of boundary conditions for mixtures are discussed in detail and several boundary value and initial-boundary value problems are solved. The status of some special theories like those of Darcy and Biot are discussed. Such a study has relevance to several technologically significant problems in geomechanics, biomechanics, diffusion of contaminants and the swelling and absorption of fluids in polymers and polymer composites, to mention a few.
Contents:
- Introduction
- Preliminaries
- Diffusion of a Fluid Through a Solid
Undergoing Large Deformations: Constitutive Response Functions
- Steady State Problems
- Diffusing Singular Surface
- Wave Propagation in Solids Infused with Fluids
- Mixture of Two Newtonian Fluids
- Mixture of a Fluid and Solid Particles
- Some Results from Differential Geometry
- Status of Darcy's Law within the Context of Mixture Theory
- Bibliography
- Index
Readership: Applied mathematicians.
"The book should be of interest for all material scientists and engineers whose research is directed to the mathematical theory and modelling of suspension flow, two-fluid flow and flow through porous media, and of course it must be available in each library where rational mechanics is claimed to be present."
| 212pp |
Pub. date: Oct 1995 |
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