Hashin-Shtrikman bounds for multiphase composites and their attainability
نویسنده
چکیده
This paper addresses the attainability of the Hashin-Shtrikman bounds for multiphase composites, including those of conductive materials and elastic materials. It presents a new derivation of these bounds that yield a necessary and sufficient condition for optimal microstructures. A key idea is a simple characterization of the gradient Young measures associated with optimal microstructures.
منابع مشابه
Hashin-Shtrikman bounds and their attainability for multiphase composites
In this paper we consider the problem of characterizing the set of the effective tensors of multiphase composites, including those of conductive materials and elastic materials. We first present a novel derivation of the Hashin-Shtrikman (HS) bounds for multiphase composites and the associated attainment condition. The attainment condition asserts that the HS bound is attainable if and only if ...
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