Evaluation of the Spectral Finite Element Method with the Theory of Phononic Crystals

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dc.citation.journalTitleJOURNAL OF COMPUTATIONAL ACOUSTICS
dc.contributor.authorGuarín-Zapata, N.
dc.contributor.authorGomez, J.
dc.contributor.researchgroupMecánica Aplicadaspa
dc.date.accessioned2021-04-16T20:10:38Z
dc.date.available2021-04-16T20:10:38Z
dc.date.issued2015-06-01
dc.description.abstractWe evaluated the performance of the classical and spectral finite element method in the simulation of elastodynamic problems. We used as a quality measure their ability to capture the actual dispersive behavior of the material. Four different materials are studied: a homogeneous non-dispersive material, a bilayer material, and composite materials consisting of an aluminum matrix and brass inclusions or voids. To obtain the dispersion properties, spatial periodicity is assumed so the analysis is conducted using Floquet-Bloch principles. The effects in the dispersion properties of the lumping process for the mass matrices resulting from the classical finite element method are also investigated, since that is a common practice when the problem is solved with explicit time marching schemes. At high frequencies the predictions with the spectral technique exactly match the analytical dispersion curves, while the classical method does not. This occurs even at the same computational demands. At low frequencies however, the results from both the classical (consistent or mass-lumped) and spectral finite element coincide with the analytically determined curves.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2002
dc.identifier.doi10.1142/S0218396X15500046
dc.identifier.issn17936489
dc.identifier.issn1687885Xspa
dc.identifier.otherWOS;000354328900001
dc.identifier.otherSCOPUS;2-s2.0-84928975550
dc.identifier.urihttp://hdl.handle.net/10784/29180
dc.language.isoengeng
dc.publisherWorld Scientific Publishing Co. Pte Ltd
dc.publisher.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84928975550&doi=10.1142%2fS0218396X15500046&partnerID=40&md5=bd946a7707fadcaac7cacc3b79d6686a
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0218-396X
dc.sourceJOURNAL OF COMPUTATIONAL ACOUSTICS
dc.subject.keywordSpectral finite elementseng
dc.subject.keywordnumerical dispersioneng
dc.subject.keywordphononic crystalseng
dc.titleEvaluation of the Spectral Finite Element Method with the Theory of Phononic Crystalseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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