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Hashin-Shtrikman bounds on the shear modulus of a nanocomposite with spherical inclusions and interface effects
Brisard S., Dormieux L., Kondo D.
Computational Materials Science 50, 2 (2010) 403-410 - http://hal.archives-ouvertes.fr/hal-00539812
Articles dans des revues avec comité de lecture
Hashin–Shtrikman bounds on the shear modulus of a nanocomposite with spherical inclusions and interface effects
Sébastien Brisard () 1, Luc Dormieux () 1, Djimedo Kondo () 2
1 :  Laboratoire Navier
Ecole des Ponts ParisTech – CNRS : UMR8205 – IFSTTAR
Ecole des Ponts ParisTech 6 / 8 avenue Blaise Pascal 77455 CHAMPS SUR MARNE
France
2 :  Laboratoire de mécanique de Lille (LML)
http://lml.univ-lille1.fr/lml/?page=87&menu_curr_set=87
CNRS : UMR8107 – Université Lille I - Sciences et technologies – Ecole Centrale de Lille – Arts et Métiers ParisTech
Bâtiment M6 Bvd Paul Langevin 59655 VILLENEUVE D ASCQ CEDEX
France
Multi-échelle
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.
Anglais

Computational Materials Science (Comput. Mater. Sci.)
Publisher Elsevier
ISSN 0927-0256 
internationale
2010
50
2
403-410

Nanocomposite – Surface stress – Hashin–Shtrikman bound – Spherical inclusion – Polarization