New optimal microstructures and restrictions on the attainable Hashin–Shtrikman bounds for multiphase composite materials
نویسنده
چکیده
We address the attainability of the Hashin-Shtrikman bounds for multiphase composite materials. We demonstrate that the Hashin-Shtrikman bounds are not always attainable and give new restrictions on the attainable Hashin-Shtrikman bounds in terms of the conductivities and volume fractions of the constituent phases. New optimal microstructures are also constructed to attain the Hashin-Shtrikman bounds. Combined together, these results allow for precise characterization of the set of effective properties for a wide range of composite materials.
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