Optimisation of 3D RVE for anisotropy index reduction in modelling thermoelastic properties of two-phase composites using a periodic homogenisation method

Renaud Grasset-Bourdel 1, 2 Arnaud Alzina 3 Nicolas Tessier-Doyen 3 N. Schmitt 4 Marc Huger 1 Thierry Chotard 1, * D. Gruber 2 H. Harmuth 2
* Auteur correspondant
1 Axe 1 : procédés céramiques
SPCTS - Science des Procédés Céramiques et de Traitements de Surface
2 MUL - Montanuniversität Leoben
3 GEMH - Groupe d'Etudes des Matériaux Hétérogènes
4 LMT - Laboratoire de Mécanique et Technologie
Abstract : In the present paper, a periodic homogenisation method is used to predict the thermomechanical properties of heterogeneous ceramics containing randomly dispersed inclusions (or pores) by modelling this complex microstructure by a Representative Volume Element (RVE) composed of a small number of inclusions (or pores). The combination of suitable RVE geometries is used to find 3D arrangements as less anisotropic as possible, in the case of ceramics with glass matrix and either alumina inclusions or pores. It is shown that anisotropy indices, in terms of elastic stiffness and thermal expansion of face-centred cubic (F.C.C.) and hexagonal close-packed (H.C.P.) arrangements are very close to the isotropic case. Therefore, these arrangements have, then, been assumed to be isotropic for the calculation of the isotropic thermoelastic properties of the model materials. A good agreement with the experimental and analytical results is observed, validating the proposed methodology.
Keywords : Thermoelastic properties Homogenisation RVE Ceramics FEM Anisotropy
Type de document :
Article dans une revue
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https://hal-unilim.archives-ouvertes.fr/hal-01102665
Contributeur : Thierry Chotard <>
Soumis le : mardi 13 janvier 2015 - 12:06:58
Dernière modification le : vendredi 17 mai 2019 - 01:22:28

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Renaud Grasset-Bourdel, Arnaud Alzina, Nicolas Tessier-Doyen, N. Schmitt, Marc Huger, et al.. Optimisation of 3D RVE for anisotropy index reduction in modelling thermoelastic properties of two-phase composites using a periodic homogenisation method. Computational Materials Science, Elsevier, 2011, 50 (11), pp.3136-3144. ⟨10.1016/j.commatsci.2011.05.042⟩. ⟨hal-01102665⟩

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