Attainability of the Hashin–Shtrikman bounds for two-phase well-ordered composites with a nonlinear phase

Martín I. Idiart

doi:10.1016/j.crme.2013.10.003

Attainability of the Hashin–Shtrikman bounds for two-phase well-ordered composites with a nonlinear phase

Martín I. Idiart ^1,²

¹ Departamento de Aeronáutica, Facultad de Ingeniería, Universidad Nacional de La Plata, Avda. 1 esq. 47, La Plata B1900TAG, Argentina
² Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), CCT La Plata, Calle 8 No. 1467, La Plata B1904CMC, Argentina

Comptes Rendus. Mécanique, Volume 341 (2013) no. 11-12, pp. 766-769.

Résumé

The Hashin–Shtrikman (HS) bounds for two-phase well-ordered composites are known to be attained by certain sequentially laminated constructions when the constituent phases exhibit a linear behavior. This implies that the bounds are optimal for that class of materials. In this Note we show that the bounds are still attained by sequentially laminated constructions when one of the phases is nonlinear, and that, consequently, they are optimal for a larger class of materials.

Reçu le : 2013-06-25
Accepté le : 2013-10-08
Publié le : 2013-10-24

DOI : 10.1016/j.crme.2013.10.003

Mots clés : Composites, Homogenization, Bounds, Nonlinearity

Affiliations des auteurs :

Martín I. Idiart ^{1, 2}

¹ Departamento de Aeronáutica, Facultad de Ingeniería, Universidad Nacional de La Plata, Avda. 1 esq. 47, La Plata B1900TAG, Argentina
² Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), CCT La Plata, Calle 8 No. 1467, La Plata B1904CMC, Argentina

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     title = {Attainability of the {Hashin{\textendash}Shtrikman} bounds for two-phase well-ordered composites with a nonlinear phase},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {766--769},
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Martín I. Idiart. Attainability of the Hashin–Shtrikman bounds for two-phase well-ordered composites with a nonlinear phase. Comptes Rendus. Mécanique, Volume 341 (2013) no. 11-12, pp. 766-769. doi : 10.1016/j.crme.2013.10.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.10.003/

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