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Dynamical properties of random fibrous networks based on generalized continuum mechanics

Abstract : The dynamic analysis of random fibrous networks (RFNs) is a novel topic, which has many applications since these networks are very often subjected to dynamical loading conditions such as mechanical vibrations. In order to bypass the complexity of performing dynamic computations at the microscopic scale of RFN, we develop and identify couple-stress and second gradient models as effective continua at the mesoscopic level of windows of analysis. The static mechanical properties which are at the basis of the dynamical analysis are computed thanks to FE simulations performed over windows of analysis subjected to mixed boundary conditions allowing to capture the classical and non-classical effective moduli. The acoustic properties are captured by the dispersion diagrams and phase velocity plots; we analyze the influence on the dynamic properties of the fiber bending length, and the fiber network density. The impact of these parameters is successively assessed for the couple-stress and strain gradient substitution continua. A comparison of the acoustic properties of the two effective media is provided, showing that the couple-stress medium is essentially non-dispersive for the longitudinal mode and dispersive for the shear mode, whereas the strain gradient medium behaves in a dispersive manner for both modes.
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https://hal.univ-lorraine.fr/hal-03284071
Contributor : Jean-François GANGHOFFER Connect in order to contact the contributor
Submitted on : Monday, July 12, 2021 - 12:33:59 PM
Last modification on : Friday, August 5, 2022 - 2:54:44 PM

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H. Reda, K. Berkache, J. Ganghoffer, H. Lakiss. Dynamical properties of random fibrous networks based on generalized continuum mechanics. Waves in Random and Complex Media, Taylor & Francis, 2020, 30 (1), pp.27-53. ⟨10.1080/17455030.2018.1478468⟩. ⟨hal-03284071⟩

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