Identification of microstructural descriptors characterizing the macro-behavior of heterogeneous random fibrous media

Quang Vu Tran (1, 2) , Camille Perrot (1) , Raymond Panneton (2) , Minh Tan Hoang (3) , Ludovic Dejaeger (3) , Valérie Marcel (3)

1 MSME - Laboratoire Modélisation et Simulation Multi-Echelle
2 GAUS - Groupe d'Acoustique de l'Université de Sherbrooke
3 APG - Adler Pelzer Group

This work is concerned with the multiscale prediction of the transport properties associated with thermocompressed materials as recycled cotton felts bonded with petro-sourced fibers (Co-PET/PET). First, a geometric characterization is performed on the studied sample using scanning electron microscopy to identify the main microstructural descriptors (fiber angular orientation, fiber diameter polydispersity). Second, two representative volume elements (RVEs) of the sample are built: one for estimating the low-frequency transport parameters and one for estimating the high-frequency transport parameters. Each RVE is built with rectilinear fibers parameterized by the probability density function of the fiber orientation and an appropriate weighted diameter. For the low-frequency RVE, a volume-weighted mean diameter is used, and an inverse volume-weighted mean diameter is used for the high-frequency RVE. These two RVEs make it possible to estimate the transport parameters in low and high frequency asymptotic behaviors using numerical homogenization methods. Finally, the estimated transport parameters are successfully compared to experimental measurements. The results demonstrate the role of the diameter polydispersity on the transport properties of random fibrous structures

Mots clés: Multi scale simulations; microstructure; micro-macro; random fibrous media; polydisperse; heterogeneous; representative volume elements

Domaines: Sciences de l'ingénieur [physics]

Quang Vu Tran, Camille Perrot, Raymond Panneton, Minh Tan Hoang, Ludovic Dejaeger, et al.. Identification of microstructural descriptors characterizing the macro-behavior of heterogeneous random fibrous media. 10th Convention of the European Acoustics Association, Forum Acusticum 2023, EAA, Sep 2023, Turin, Italy. pp.7. ⟨hal-04391882⟩