Random Heterogeneous Materials : Microstructure and Macroscopic Properties /
The study of random heterogeneous materials is an exciting and rapidly growing multidisciplinary endeavor. This field demands a unified rigorous means of characterizing the microstructures and macroscopic properties of the widely diverse types of heterogeneous materials that abound in nature and syn...
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| Format: | eBook |
| Language: | English |
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New York, NY :
Springer New York,
2002.
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| Series: | Interdisciplinary applied mathematics ;
16. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Part I. Microstructural characterization: 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
- Part II. Microstructure property connections: 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.