Quantitative prediction of effective conductivity in anisotropic heterogeneous media using two-point correlation functions

D. S. Li, G. Saheli, M. Khaleel, H. Garmestani

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using two-point correlation functions. Probability functions play a critical role in describing the statistical distribution of different constituents in a heterogeneous media. In this study a three-dimensional two-point correlation function is utilized to characterize the anisotropic media without making any assumption on the microstructure. Examples in this study demonstrated how the model captured the anisotropy in effective conductivity of the random heterogeneous media. Predicted results showed the influence of microstructure on the effective conductivity tensor.

Original languageEnglish
Pages (from-to)45-50
Number of pages6
JournalComputational Materials Science
Volume38
Issue number1
DOIs
Publication statusPublished - 1 Nov 2006
Externally publishedYes

Fingerprint

Effective Conductivity
Heterogeneous Media
anisotropic media
Correlation Function
conductivity
Prediction
Microstructure
predictions
Heterogeneous Porous Media
Anisotropic media
microstructure
Anisotropic Media
Probability function
Statistical Distribution
statistical distributions
Tensors
Anisotropy
Continuum
Tensor
tensors

Keywords

  • Anisotropy
  • Correlation function
  • Effective conductivity
  • Heterogeneous
  • Statistical continuum

ASJC Scopus subject areas

  • Materials Science(all)

Cite this

Quantitative prediction of effective conductivity in anisotropic heterogeneous media using two-point correlation functions. / Li, D. S.; Saheli, G.; Khaleel, M.; Garmestani, H.

In: Computational Materials Science, Vol. 38, No. 1, 01.11.2006, p. 45-50.

Research output: Contribution to journalArticle

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