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Using quasiconvex functionals to bound the effective conductivity of composite materials

Published online by Cambridge University Press:  14 November 2011

V. Nesi
V. Nesi
Affiliation:
Dipartimento di Matematica Pura ed Applicata, Universita degli Studi de L'Aquila, 67010 L'Aquila, Italy
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Synopsis

In this paper we establish bounds constraining the effective conductivity tensor of composites made of an arbitrary number n of possibly anisotropic phases in prescribed volume fractions. The bounds are valid in any spatial dimension d≧2. The bounds have a very simple and concise form and include those previously obtained by Hashin and Shtrikman, Murat and Tartar, Lurie and Cherkaev, Kohn and Milton, Avellaneda, Cherkaev, Lurie and Milton and Dell'Antonio and Nesi.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 4 , 1993 , pp. 633 - 679
Copyright
Copyright © Royal Society of Edinburgh 1993

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