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A mixed composite spheres assemblage model for the transport properties of random heterogeneous materials with high contrasts

Abstract : An exactly solvable assemblage mixing two types of coated spheres is proposed by exploiting the main ideas underlying the celebrated composite spheres assemblage of Hashin and Shtrikman [Z. Hashin and S. Shtrikman, J. Appl. Phys. 33, 3125 (1962)]. A simple estimate for the transport properties of random heterogeneous media, such as diffusivity, is derived from this mixed composite spheres assemblage (MCSA). Given the phase volume fractions, the obtained estimate depends only on one geometric parameter which accounts for the phase connectivity and whose variation allows the realization of any diffusivity ranging within the Hashin-Shtrikman bounds. For random heterogeneous media consisting of high contrast phases, the derived estimate has the capacity to capture the sudden variation of the effective conduction or diffusion coefficient due to a critical microstructure change. As an example of practical interest, the MCSA model is applied to estimate the diffusion properties of hardened cement pastes. (c) 2006 American Institute of Physics.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693723
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Submitted on : Wednesday, May 2, 2012 - 10:54:59 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:08 PM

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E. Stora, Qi-Chang He, B. Bary. A mixed composite spheres assemblage model for the transport properties of random heterogeneous materials with high contrasts. Journal of Applied Physics, American Institute of Physics, 2006, 100 (8), ⟨10.1063/1.2360155⟩. ⟨hal-00693723⟩

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