A combination of the Hashin-Shtrikman bounds aimed at modelling electrical conductivity and permittivity of variably saturated porous media
نویسندگان
چکیده
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 ...
متن کاملHashin-Shtrikman bounds for multiphase composites and their attainability
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.
متن کاملHashin-Shtrikman bounds on the shear modulus of a nanocomposite with spherical inclusions and interface effects
The recently developed variational framework for polarization methods in nanocomposites is applied to the determination of a lower-bound on the shear modulus of a nanocomposite with monosized, spherical inclusions. This bound explicitly accounts for linear elastic effects in the matrix-inclusion interface. Even if the polarization fields involved in its derivation are much more intricate, this ...
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چکیده ندارد.
Determination of Hashin-Shtrikman bounds on the isotropic effective elastic moduli of polycrystals of any symmetry
Although methods to determine optimal Hashin–Shtrikman bounds for polycrystals of cubic to monoclinic symmetry have been described, the calculation of bounds for triclinic crystals has not previously been possible. The recent determination of elastic moduli of common minerals with low symmetry provides motivation to extend the Hashin–Shtrikman formulation to lower symmetry. Here, Hashin– Shtrik...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 2010
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.2009.04415.x