Acoustic wave propagation in permeable lossy metamaterials

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Physics of Fluids

سال: 2022

ISSN: ['1527-2435', '1089-7666', '1070-6631']

DOI: https://doi.org/10.1063/5.0077342