Abstract
A simple relation between three-point correlation functions is derived for two-component materials. This relation enables one to find concise expressions for the Beran, Molyneux, and McCoy bounds on transport and elastic coefficients in terms of the volume fraction, ${f}_{1}$, and two fundamental geometric parameters, ${\ensuremath{\zeta}}_{1}$ and ${\ensuremath{\eta}}_{1}$. The parameter ${\ensuremath{\zeta}}_{1}$ also determines bounds on the complex electrical permittivity. No simple interpretation of ${\ensuremath{\zeta}}_{1}$ and ${\ensuremath{\eta}}_{1}$ has been found.
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