A semi-empirical approach to link macroscopic parameters to microstructure of fibrous materials

Abstract : At macro-scale, semi-phenomenological models are used to describe the acoustic behavior of porous materials. At micro-scale, manufacturers, familiar with a manufacturing process, have the ability to modify the microstructure of these materials. Establishing relationships between macroscopic model parameters and the characteristics of the microstructure is important, not only to improve our knowledge of the dissipation mechanisms, but also to optimize the materials through the manufacturing process. In this work, extensive measurements were performed on five glass wools for different manufacturing parameters. The macroscopic parameters were obtained by direct or indirect characterization methods and the microstructure described using SEM images. Measurement methods were then discussed and some of their limits identified for the specific case of fibrous materials. An abundant literature containing empirical or analytical relations exists to link microstructure and macroscopic parameters. Most of them were confronted with the measured data. Finally, analytical relations were selected to determine the porosity and the characteristics lengths from the density and the fiber diameters. Resistivity was provided with the same microstructure parameters according to an empirical relation. Regarding the tortuosity, tested formulas and measurements showed that this parameter was always close to unity for these materials and was therefore set to one.
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P. Kerdudou, J.-B. Chéné, G. Jacqus, Camille Perrot, S. Berger, et al.. A semi-empirical approach to link macroscopic parameters to microstructure of fibrous materials. The 44th International Congress and Exposition on Noise Control Engineering (Inter-Noise2015), Aug 2015, San Francisco, United States. ⟨hal-01163424⟩

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