Remarks on wave propagation in an acoustic metamaterial modeled as a relaxed micromorphic continuum

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dc.contributor.authorVoss, Jendrik
dc.contributor.authorRizzi, Gianluca
dc.contributor.authorDemetriou, Plastiras
dc.contributor.authorNeff, Patrizio
dc.contributor.authorMadeo, Angela
dc.date.accessioned2023-10-13T10:18:03Z
dc.date.available2023-10-13T10:18:03Z
dc.date.issued2023-05-31
dc.description.abstractIn order to describe elastic waves propagation in metamaterials, i.e. solids with heterogeneities or microstructure, it is necessary to consider non-local or higher-order models. The relaxed micromorphic model (RMM) proposed here can describe these effects as a continuous material with enriched kinematics. We present a new unit cell giving rise to a metamaterial for acoustic application. The microstructure is engineered to show a band-gap in the low acoustic regime (600-2000 Hz) for which waves cannot propagate through the material. We concentrate on the size effects to make full advantage of the particularly beneficial structure that the model provides. The RMM material parameters are fitted using a new algorithm relying on cutoffs and asymptotes (obtained via a Bloch-Floquet analysis). In particular, by enhancing the kinetic energy of the model with a new inertia term, we enable decreasing curves (modes with negative group velocity).en
dc.identifier.urihttp://hdl.handle.net/2003/42139
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-23972
dc.language.isoende
dc.relation.ispartofseriesProceedings in applied mathematics and mechanics;23(1)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/de
dc.subject.ddc690
dc.titleRemarks on wave propagation in an acoustic metamaterial modeled as a relaxed micromorphic continuumen
dc.typeTextde
dc.type.publicationtypeArticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationVoss, J., Rizzi, G., Demetriou, P., Neff, P. and Madeo, A. (2023), Remarks on wave propagation in an acoustic metamaterial modeled as a relaxed micromorphic continuum. Proc. Appl. Math. Mech., 23: e202200182. https://doi.org/10.1002/pamm.202200182de
eldorado.secondarypublication.primaryidentifierDOI: https://doi.org/10.1002/pamm.202200182de

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