Institute of Fundamental Technological Research
Polish Academy of Sciences

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Fabien Chevillotte

MATELYS – Research Lab (FR)


Recent publications
1.  Zieliński T.G., Venegas R., Perrot C., Červenka M., Chevillotte F., Attenborough K., Benchmarks for microstructure-based modelling of sound absorbing rigid-frame porous media, JOURNAL OF SOUND AND VIBRATION, ISSN: 0022-460X, DOI: 10.1016/j.jsv.2020.115441, Vol.483, pp.115441-1-38, 2020

Abstract:
This work presents benchmark examples related to the modelling of sound absorbing porous media with rigid frame based on the periodic geometry of their microstructures. To this end, rigorous mathematical derivations are recalled to provide all necessary equations, useful relations, and formulae for the so-called direct multi-scale computations, as well as for the hybrid multi-scale calculations based on the numerically determined transport parameters of porous materials. The results of such direct and hybrid multi-scale calculations are not only cross verified, but also confirmed by direct numerical simulations based on the linearised Navier-Stokes-Fourier equations. In addition, relevant theoretical and numerical issues are discussed, and some practical hints are given.

Keywords:
porous media, periodic microstructure, wave propagation, sound absorption

Affiliations:
Zieliński T.G. - IPPT PAN
Venegas R. - other affiliation
Perrot C. - other affiliation
Červenka M. - Czech Technical University in Prague (CZ)
Chevillotte F. - MATELYS – Research Lab (FR)
Attenborough K. - The Open University (GB)
2.  Zieliński T.G., Chevillotte F., Deckers E., Sound absorption of plates with micro-slits backed with air cavities: analytical estimations, numerical calculations and experimental validations, APPLIED ACOUSTICS, ISSN: 0003-682X, DOI: 10.1016/j.apacoust.2018.11.026, Vol.146, pp.261-279, 2019

Abstract:
This work discusses many practical and some theoretical aspects concerning modelling and design of plates with micro-slits, involving multi-scale calculations based on microstructure. To this end, useful mathematical reductions are demonstrated, and numerical computations are compared with possible analytical estimations. The numerical and analytical approaches are used to calculate the transport parameters for complex micro-perforated (micro-slotted) plates, which allow to determine the effective properties of the equivalent fluid, so that at the macro-scale level the plate can be treated as a specific layer of acoustic fluid. In that way, the sound absorption of micro-slotted plates backed with air cavities can be determined by solving a multi-layer system of Helmholtz equations. Two such examples are presented in the paper and validated experimentally. The first plate has narrow slits precisely cut out using a traditional technique, while the second plate - with an original micro-perforated pattern - is 3D-printed.

Keywords:
micro-slotted plates, micro-perforated plates, sound absorption, microstructure-based modelling, 3D-printing

Affiliations:
Zieliński T.G. - IPPT PAN
Chevillotte F. - MATELYS – Research Lab (FR)
Deckers E. - Katholieke Universiteit Leuven (BE)

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