Acoustics of permeable heterogeneous materials with local non-equilibrium pressure states

Venegas, Rodolfo; Boutin, Claude

doi:10.1016/j.jsv.2017.11.013

Cited by 13 publications

(5 citation statements)

References 24 publications

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“…For more complex designs, the matrix can be heterogeneous, i.e. assembled from several parts made of different materials with different microporosity and permeability, which should result in local non-equilibrium pressure states [51]. The channels can also be filled with a highly permeable porous or fibrous materials to form a multi-porous composite [52], but this type of design would require more theoretical development.…”

Section: Discussionmentioning

confidence: 99%

Extremely tortuous sound absorbers with labyrinthine channels in non-porous and microporous solid skeletons

Zieliński,

Opiela,

Dauchez

et al. 2024

Applied Acoustics

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Section: Discussionmentioning

confidence: 99%

Extremely tortuous sound absorbers with labyrinthine channels in non-porous and microporous solid skeletons

Zieliński,

Opiela,

Dauchez

et al. 2024

Applied Acoustics

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“…(34) shows that |c(ω)| → 0 if |K| = 0 or |C| → ∞. These conditions are not satisfied in conventional porous materials [42], multiscale permeable media [73,74,[76][77][78][79], or porous composites [82,83]. As an example, for conventional porous materials and considering leading-order terms: c 0 ωK 0 /φγν ≤ |c| ≤ c 0 / √ α ∞ while the phase of the effective speed of sound varies from π/4 in viscosity-dominated flow regime down to 0 in inertia-dominated flow regime.…”

Section: Please Cite This Article As Doi: 101063/50077342mentioning

confidence: 99%

“…This is done in this paper by using methods and analyses common for porous media acoustics [39][40][41][42][43]. For porous materials, the effects of losses have been widely studied, with examples being works on wave propagation in single porosity materials [44][45][46][47][48], such as arrays of pores (see, e.g., [49][50][51][52][53]), granular materials [54][55][56][57][58][59], fibrous materials [60][61][62][63], and cellular materials [64][65][66][67]; multiscale porous media [59,[70][71][72][73][74][75][76][77][78][79]; and porous composites [80][81][82][83].…”

Section: Introductionmentioning

confidence: 99%

Acoustic wave propagation in permeable lossy metamaterials

Venegas¹,

Núñez²,

Boutin

et al. 2022

Physics of Fluids

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This paper investigates acoustic wave propagation in gas-saturated permeable lossy metamaterials which have different types of resonators, namely acoustic and elastic resonators, as building-block elements. By using the two-scale asymptotic homogenization method, the macroscopic equations that govern sound propagation in such metamaterials are established. These equations show that the metamaterials can be modelled as equivalent fluids with unconventional effective density and compressibility. Analysis of these frequency-dependent and complex-valued parameters shows that the real parts of both can take negative values within frequency bands determined by inner resonances. The upscaled theory is exemplified with the case of a permeable lossy metamaterial having a unit cell comprising two unconnected fluid networks and a solid frame.One of these fluid networks is loaded with acoustic resonators (e.g. quarter-wavelength, Helmholtz resonators) while thin elastic films are present in the other one. It is shown that the propagation of acoustic waves in permeable lossy metamaterials is determined by both classical visco-thermal dissipation and local elasto-inertial resonances. The results are expected to lead to judicious designs of acoustic materials with peculiar properties including negative phase velocity and phase constant characteristic for regressive waves, very slow phase velocity, and wide sub-wavelength band gaps.

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“…Later on, several works used the above theory to model more complex solutions consisting of irregularly shaped porous materials [16], composites with porous inclusions of different shape [17], or cylindrical microporous inclusions coaxially inserted in a perforated microporous medium [18]. Some more examples of macro-perforated porous media for sound absorption applications using simple geometries are lightweight perforated cellular vitreous carbon foams [19], silencers containing parallel splitters [20], or slit-perforated double porosity materials [21].…”

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confidence: 99%