Multiscale modelling of transport phenomena for materials with n-layered embedded fibres. Part II: Investigation of fibre packing effects. (15th October 2016)

• Record Type: Journal Article
• Authors: Joannès, S.; Hervé-Luanco, E.
• Is Part Of: International journal of solids and structures. Volume 97/98(2016)
• Page Start: 566
• Page End: 574
• Publication Date: 2016-10-15
• Subjects: Homogenization -- Analytical solutions -- Composite materials -- Finite element -- Image analysis -- Diffusion; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.06.026
• Languages: English
• ISSNs: 0020-7683

Abstract

Highlights: Transverse transport properties of a fibre reinforced material are homogenized. Closed-form analytical relations are given in the case of insulating fibres. Fibre packing effects and the influence of contacts between fibres are investigated. A simple image analysis is required to determine the parameters of the model. Microstructural Finite Element Modelling is used to validate the model's effciency Graphical abstract: 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.