Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 57, Issue 1, Pages 74-86Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2008.10.001
Keywords
Statistical continuum; Heterogeneous media; Effective conductivity; Strong contrast; Probability functions
Funding
- French Ministry of Research
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The strong-contrast formulation is used to predict the effective conductivity of a porous material. The distribution, shape and orientation of the two phases are taken into account using two- and three-point probability distribution functions. A new approximation for the three-point probability function appropriate for two-phase media is proposed and discussed. Computed results for the effective conductivity using the strong-contrast formulation are compared to the Voigt and the Hashin-Shtrikman upper-bound estimates. These results show that the predicted effective conductivity is lower than both Voigt and Hashin-Shtrikman bounds. Compared to previous results using the weak-contrast formulation, the strong-contrast formulation seems to provide a better estimate for the effect of the microstructure on the conductivity. (C) 2008 Elsevier Ltd. All rights reserved.
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