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Abstract
Expressions for the effective conductivity and resistivity of a two-phase medium that are represented as series based on Fourier transforms are analyzed. Relationships between the Fourier coefficients for the local conductivity and resistivity of transposed systems (obtained one from the other by phase transposition without changing the geometrical structure of the material) are derived. It is shown that such relationships allow, in a number of cases, calculating an arbitrary member of the series for the effective constants. A way of renormalizing all members of the series that makes it possible to relate the effective constants of transposed systems is demonstrated with a two-dimensional problem.
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