Abstract
Although some improved bounds have been in existence for nearly four decades, they have, until the recent past, lain dormant and untested because of the difficulty associated with ascertaining the various types of correlation functions involved, even for simple models (e.g., random arrays of spherical particles). Advances in the quantitative characterization of the microstructure, described in Part I of this book, have paved the way for the computation of improved bounds on the effective conductivity, effective elastic moduli, trapping constant, and fluid permeability of nontrivial models of two-phase random heterogeneous materials.
Keywords
- Fiber Volume Fraction
- Particle Volume Fraction
- Effective Conductivity
- Random Array
- Effective Shear Modulus
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Torquato, S. (2002). Evaluation of Bounds. In: Random Heterogeneous Materials. Interdisciplinary Applied Mathematics, vol 16. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6355-3_22
Download citation
DOI: https://doi.org/10.1007/978-1-4757-6355-3_22
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-6357-7
Online ISBN: 978-1-4757-6355-3
eBook Packages: Springer Book Archive