Résumé
The overall aim of this book is to provide a rigorous means
to characterize the microstructure and properties of
heterogeneous materials that can simultaneously yield
results of practical utility. A unified treatment of both
microstructure and properties is emphasized. The book is
divided into two parts. Part I deals with the quantitative
characterization of the microstructure of heterogeneous via
theoretical, computer-simulation and imaging techniques.
Emphasis is placed on theoretical methods. Part II treats a
wide variety of effective properties of heterogeneous
materials and how they are linked to the microstructure.
This is accomplished using rigorous methods. Wherever
possible, theoretical predictions for the effective
properties are compared to available, experimental and
computer-simulation data. This book will be of interest to
graduate students and researchers in applied mathematics,
physics, chemistry, materials science and engineering.
Contents
- Motivation and overview
- Microstructural descriptors
- Statistical mechanics of particle systems
- Unified approach
- Monodisperse spheres
- Polydisperse spheres
- Anisotropic media
- Cell and random-field models
- Percolation and clustering
- Some continuum percolation results
- Local volume fraction fluctuation
- computer simulation and image analysis
- Local and homogenized equations
- Variational Principles
- Phase-interchange relations
- Exact results
- Single-inclusion solutions
- Effective medium approximations
- Cluster expansions
- Exact contrast expansions
- Rigorous bounds
- Evaluation of bounds
- Cross-property relations
- Appendix A Equilibrium Hard disk program
- Appendix B Interrelations among 2-3D moduli
- References
- Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Salvatore Torquato |
| Parution | 15/08/2001 |
| Nb. de pages | 710 |
| Format | 18 x 24 |
| Couverture | Relié |
| Poids | 1350g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780387951676 |
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