Multiscale modelling of transport phenomena for materials with n-layered embedded fibres. Part II : Investigation of fibre packing effects

Sébastien Joannès 1 Eveline Hervé-Luanco 1, 2
1 MAT - Centre des Matériaux
2 LISV - Laboratoire d'Ingénierie des Systèmes de Versailles
Abstract : The case of molecular diffusion is investigated and a method is proposed to predict the effective diffusion properties of transversely isotropic composite materials. This paper is the second one of a set of two consecutive papers published in this volume. The general modelling strategy was devised in the first paper (Hervé-Luanco and Joannès, 2016) and applied to the biphasic case in this one. Closed-form analytical expressions are given to investigate fibre packing effects on the effective transverse diffusivity of any unidirectional composite. The specific case of insulated fibres embedded in a diffusive matrix is studied and a clear procedure is then described to determine the model parameters. It is worth noting that only a very simple cross-section image analysis of the unidirectional composite medium is required to provide the two morphological parameters needed to predict the overall diffusivity tensor. Finally, an application on a real microstructure is provided to demonstrate the efficiency of the suggested turnkey method. Very simple analytical calculations make possible parametric studies less expensive than numerical or experimental characterizations.
Mots-clés : Analytical solutions Homogenization Image analysis Finite element Composite materials Diffusion
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01394147
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Soumis le : mardi 8 novembre 2016 - 17:20:44
Dernière modification le : samedi 11 janvier 2020 - 01:14:42

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Sébastien Joannès, Eveline Hervé-Luanco. Multiscale modelling of transport phenomena for materials with n-layered embedded fibres. Part II : Investigation of fibre packing effects. International Journal of Solids and Structures, Elsevier, 2016, 97-98, pp.566-574. ⟨10.1016/j.ijsolstr.2016.06.026⟩. ⟨hal-01394147⟩

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