Abstract
We formulate the problem of calculating the effective conductivity of a random medium in a suitable manner. Then we obtain upper and lower bounds using variational principles. Some of the bounds depend on the random geometry of the medium while others (like the HashinShtrikman bounds) do not.
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© 1982 Springer-Verlag
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Kohler, W., Papanicolaou, G.C. (1982). Bounds for the effective conductivity of random media. In: Burridge, R., Childress, S., Papanicolaou, G. (eds) Macroscopic Properties of Disordered Media. Lecture Notes in Physics, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11202-2_9
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DOI: https://doi.org/10.1007/3-540-11202-2_9
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