Acoustic absorption of porous surfacing with dual porosity

Boutin, Claude; Royer, Pascale; Auriault, Jean‐Louis

doi:10.1016/s0020-7683(98)00091-2

Cited by 109 publications

(82 citation statements)

References 14 publications

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“…Further, application of the volume-integral homogenizing operator provides a link from the micro-to macroscopic behaviour of the material and allows the evaluation of effective properties. Theoretical foundations of the method have been developed by Bakhvalov (1974), Babuska (1976), Bensoussan et al (1978), Sánchez-Palencia (1980) and Bakhvalov & Panasenko (1989); a number of recent applications can be found in the works of Meguid & Kalamkarov (1993), Parton & Kudryavtsev (1993), Jikov et al (1994), Kalamkarov & Kolpakov (1997), Boutin et al (1998), Boutin (2000), Rodríguez-Ramos et al (2001), Andrianov et al (2002aAndrianov et al ( ,b, 2005Andrianov et al ( , 2007a, Manevitch et al (2002), Miehe et al (2002), Périn (2004), Berdichevsky (2005), Berger et al (2005), Guinovart-Díaz et al (2005), Kamiński (2005), Parnell & Abrahams (2006) and Santos et al (2006).…”

Section: Introductionmentioning

confidence: 99%

Higher order asymptotic homogenization and wave propagation in periodic composite materials

et al. 2008

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We present an application of the higher order asymptotic homogenization method (AHM) to the study of wave dispersion in periodic composite materials. When the wavelength of a travelling signal becomes comparable with the size of heterogeneities, successive reflections and refractions of the waves at the component interfaces lead to the formation of a complicated sequence of the pass and stop frequency bands. Application of the AHM provides a long-wave approximation valid in the low-frequency range. Solution for the high frequencies is obtained on the basis of the Floquet-Bloch approach by expanding spatially varying properties of a composite medium in a Fourier series and representing unknown displacement fields by infinite plane-wave expansions. Steadystate elastic longitudinal waves in a composite rod (one-dimensional problem allowing the exact analytical solution) and transverse anti-plane shear waves in a fibre-reinforced composite with a square lattice of cylindrical inclusions (two-dimensional problem) are considered. The dispersion curves are obtained, the pass and stop frequency bands are identified.

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Section: Introductionmentioning

confidence: 99%

Higher order asymptotic homogenization and wave propagation in periodic composite materials

et al. 2008

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“…In this paper,the double porosity theory based on the homogenisation technique as derivedi n [ 1,5,6] has been successfully applied to predict the acoustical behaviour of porous structures having complicated surfaces. Va rious materials have been used from lowr esistive (melamine foam)tohigh resistive foam (mineral foam).…”

Section: Discussionmentioning

confidence: 99%

“…In particular,t he authors would liket or ecommend publications from Olny [ 2] and Olnya nd Boutin [1] which discuss the acoustic dissipation mechanisms involved in am edium having twos cales of porosity.T hese developments have been based on initial works by Boutin and Auriault [3,4,5,6] who treated the more general cases of quasi-static and dynamic regimes. All these works are based on the homogenisation method for periodic structures (HSP)asintroduced by Sanchez-Palencia [7].…”

Section: Some Elements About the Dual Porosity Theorymentioning

confidence: 99%

Applications of the Dual Porosity Theory to Irregularly Shaped Porous Materials

Bécot¹,

Jaouen²,

Gourdon³

2008

Acta Acustica united with Acustica

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SummaryNon planar acoustic materials may be used in building and environmental acoustics to achieve asignificant absorption at lowfrequencies. Examples of these materials are anechoic wedges or advanced design noise barriers. The shape of these materials is mainly based on empirical knowledge because afi ne numerical modeling (e.g. FEM, BEM)r equires large computational costs. Therefore, the optimisation of the general form and of the material used to realise these absorbing systems is limited. The purpose of this paper is to propose an original alternative to these limitations. The work basis relies on the theory for the acoustics of multi-scale porous materials, and in particular on double porosity materials, which has been initiated by Olnyand Boutin (J. Acoust. Soc. Am. 2003, 114(1)). It is shown in this paper that this theory could be successfully applied to the modeling of non planar sound absorbing materials. Examples are givenfor multi-layer systems involving perforated panels, material samples having an irregular surface and anechoic wedges. The discussion is based on comparisons between analytical simulations and measurements.

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“…This problem is formally identical to that of pressure diffusion in double porosity materials with highly contrasted permeabilities (Boutin et al 1998). Withb(y, ω) representing the Ω p − periodic local diffusive pressure field, the solution of the problem reads:…”

Section: Homogenisation Proceduresmentioning

confidence: 99%

Influence of Diffusion and Sorption on Sound Propagation in Multiscale Porous Materials

Venegas¹,

Boutin²,

Umnova³

2017

Poromechanics VI

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This paper investigates sound propagation in multiscale sorptive porous materials saturated with a pure gas. An example of this type of materials is a packing of porous grains where a mesoscopic, microscopic, and nanoscopic scale can be identified. These scales are associated with the grain size, and the pores inside the grains of micrometre and nanometre sizes, respectively. Considering that the inner-grain and inter-granular viscous permeabilities are highly contrasted, the macroscopic description of sound propagation through the material is established by upscaling a local mesoscopic description using the two-scale asymptotic method of homogenisation for periodic media. The local mesoscopic description is given by i) an homogenised description of the inner-grain physics that accounts for fluid flow and heat conduction in the micropores, inner-grain interscale mass difussion, and sorption occurring on the walls of the nanopores, ii) the equations describing fluid flow and heat conduction in the mesoscopic fluid network, and iii) the conditions of continuity of mass flux and pressure, and negligible temperature variations on the pore boundaries. It is concluded that the effective compressibility becomes significantly affected by sorption and interscale pressure and mass diffusion processes. This leads to a decrease in sound speed and an increase in sound attenuation, particularly around the characteristic frequencies associated to the diffusion processes.

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Acoustic absorption of porous surfacing with dual porosity

Cited by 109 publications

References 14 publications

Higher order asymptotic homogenization and wave propagation in periodic composite materials

Higher order asymptotic homogenization and wave propagation in periodic composite materials

Applications of the Dual Porosity Theory to Irregularly Shaped Porous Materials

Influence of Diffusion and Sorption on Sound Propagation in Multiscale Porous Materials

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