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Cite Details

D. M. Tartakovsky and A. Guadagnini, "Effective properties of random composites", SIAM J. Sci. Comp., vol. 26, no. 2, pp. 625-635, 2004

Abstract

We propose a new concept for effective properties of composites with uncertain spatial arrangements of constitutive materials and within-material properties. Rather than replacing a heterogeneous property with a constant e ective parameter, we seek to preserve composite's internal macro structure. This general concept is used to derive an effective conductivity of composite porous media, when both material s geometry and conductivities within each material are uncertain. Our analysis uses a random domain decomposition to explicitly account for the separate effects of material and geometric uncertainty on ensemble moments of pressure and flux. We present a general expression for the effective (apparent) conductivity of such media and analyze it in detail for one- and two-dimensional steady flows in bounded random media composed of two materials with highly contrasting conductivities.

BibTeX Entry

@article{tartakovsky-2004-effective,
author = {D. M. Tartakovsky and A. Guadagnini},
title = {Effective properties of random composites},
year = {2004},
urlpdf = {http://math.lanl.gov/~dmt/papers/effcomp.pdf},
journal = {SIAM J. Sci. Comp.},
volume = {26},
number = {2},
pages = {625-635}
}