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Article: Nonlocal description of sound propagation through an array of Helmholtz resonators

TitleNonlocal description of sound propagation through an array of Helmholtz resonators
Authors
KeywordsAcoustic metamaterials
Helmholtz resonators
Negative modulus
Nonlocal description
Spatial dispersion
Viscothermal fluid
Issue Date2015
Citation
Comptes Rendus - Mecanique, 2015, v. 343, n. 12, p. 656-669 How to Cite?
AbstractA generalized macroscopic nonlocal theory of sound propagation in rigid-framed porous media saturated with a viscothermal fluid has been recently proposed, which takes into account both temporal and spatial dispersion. Here, we consider applying this theory, which enables the description of resonance effects, to the case of sound propagation through an array of Helmholtz resonators whose unusual metamaterial properties, such as negative bulk moduli, have been experimentally demonstrated. Three different calculations are performed, validating the results of the nonlocal theory, related to the frequency-dependent Bloch wavenumber and bulk modulus of the first normal mode, for 1D propagation in 2D or 3D periodic structures.
Persistent Identifierhttp://hdl.handle.net/10722/318595
ISSN
2023 Impact Factor: 1.0
2023 SCImago Journal Rankings: 0.250
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorNemati, Navid-
dc.contributor.authorKumar, Anshuman-
dc.contributor.authorLafarge, Denis-
dc.contributor.authorFang, Nicholas X.-
dc.date.accessioned2022-10-11T12:24:07Z-
dc.date.available2022-10-11T12:24:07Z-
dc.date.issued2015-
dc.identifier.citationComptes Rendus - Mecanique, 2015, v. 343, n. 12, p. 656-669-
dc.identifier.issn1631-0721-
dc.identifier.urihttp://hdl.handle.net/10722/318595-
dc.description.abstractA generalized macroscopic nonlocal theory of sound propagation in rigid-framed porous media saturated with a viscothermal fluid has been recently proposed, which takes into account both temporal and spatial dispersion. Here, we consider applying this theory, which enables the description of resonance effects, to the case of sound propagation through an array of Helmholtz resonators whose unusual metamaterial properties, such as negative bulk moduli, have been experimentally demonstrated. Three different calculations are performed, validating the results of the nonlocal theory, related to the frequency-dependent Bloch wavenumber and bulk modulus of the first normal mode, for 1D propagation in 2D or 3D periodic structures.-
dc.languageeng-
dc.relation.ispartofComptes Rendus - Mecanique-
dc.subjectAcoustic metamaterials-
dc.subjectHelmholtz resonators-
dc.subjectNegative modulus-
dc.subjectNonlocal description-
dc.subjectSpatial dispersion-
dc.subjectViscothermal fluid-
dc.titleNonlocal description of sound propagation through an array of Helmholtz resonators-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.crme.2015.05.001-
dc.identifier.scopuseid_2-s2.0-84931024049-
dc.identifier.volume343-
dc.identifier.issue12-
dc.identifier.spage656-
dc.identifier.epage669-
dc.identifier.isiWOS:000367425000006-

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