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Article Dans Une Revue Computational Materials Science Année : 2010

Hashin-Shtrikman bounds on the shear modulus of a nanocomposite with spherical inclusions and interface effects

Résumé

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 bound is closely related to the classical Hashin-Shtrikman bound, with which it coincides when surface stresses are disregarded. More strikingly, when surface stresses are not disregarded, it also coincides with previously established Mori-Tanaka estimates. This result provides firm ground for the practical use of these estimates, for example for design purposes.
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Dates et versions

hal-00539812 , version 1 (04-09-2013)

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Sébastien Brisard, Luc Dormieux, Djimedo Kondo. Hashin-Shtrikman bounds on the shear modulus of a nanocomposite with spherical inclusions and interface effects. Computational Materials Science, 2010, 50 (2), pp.403-410. ⟨10.1016/j.commatsci.2010.08.032⟩. ⟨hal-00539812⟩
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