Abstract
In June 1980, after finding the correct interval for the conductivity of an effective isotropic mixture of two isotropic conductors, I did not think about checking the (inexact) formula that LANDAU and LIFSHITZ wrote for the conductivity of a mixture in [47]. It was only in the fall of 1986 that I thought about it: their formula is one of the two Hashin–Shtrikman bounds!1 At that time, I understood a little better than in 1974 about the way physicists think, and I continued reading what they wrote after:2 for the case when the conductivity a(x) does not vary much, they proposed the formula.
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© 2009 Springer-Verlag Berlin Heidelberg
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Tartar, L. (2009). Small-Amplitude Homogenization. In: The General Theory of Homogenization. Lecture Notes of the Unione Matematica Italiana, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05195-1_29
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DOI: https://doi.org/10.1007/978-3-642-05195-1_29
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