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Cited by 153

The DOI matches its Crossref record; 57 of the 57 references it cites were found in a registry or an index.

Transport properties of heterogeneous materials derived from Gaussian random fields: Bounds and simulation

Roberts, A. P., Teubner, Max·1995·Physical Review E
DOI 10.1103/physreve.51.4141
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Abstract

We investigate the effective conductivity (${\mathrm{\ensuremath{\sigma}}}_{\mathit{e}}$) of a class of amorphous media defined by the level cut of a Gaussian random field. The three point solid-solid correlation function is derived and utilized in the evaluation of the Beran-Milton bounds. Simulations are used to calculate ${\mathrm{\ensuremath{\sigma}}}_{\mathit{e}}$ for a variety of fields and volume fractions at several different conductivity contrasts. Relatively large differences in ${\mathrm{\ensuremath{\sigma}}}_{\mathit{e}}$ are observed between the Gaussian media and the identical overlapping sphere model used previously as a ``model'' amorphous medium. In contrast, ${\mathrm{\ensuremath{\sigma}}}_{\mathit{e}}$ shows little variability between different Gaussian media.

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Citations

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Research works printed but not linked: 6

  1. A. S. Skal, 1973, Sov. Phys. Solid State, 15, 961
  2. A. S. Skal, 1973, JETP Lett., 17, 377
  3. P. Weiner, 1912, Abh. Math. Phys. Kl. Konigl. Sach. Ges., 32, 509
  4. W. H. Press, 1986, Numerical Recipes
  5. J. D. Murray, 1974, Asymptotic Analysis
  6. S. Torquato, 1985, Lett. Appl. Eng. Sci., 23, 385

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Metadata

Authors
Roberts, A. P., & Teubner, M.
Venue
Physical Review E
Publisher
American Physical Society (APS)
Published
1995-05-01
Volume
51
Issue
5
Pages
4141-4154
ISSN
  • 1063-651X
  • 1095-3787
DOI
10.1103/physreve.51.4141
Cited by
153
References
57
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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