A General-Purpose Element-Based Approach to Compute Dispersion Relations in Periodic Materials with Existing Finite Element Codes

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dc.citation.journalTitleJournal Of Theoretical And Computational Acoustics
dc.contributor.authorValencia C.
dc.contributor.authorGomez J.
dc.contributor.authorGuarín-Zapata N.
dc.contributor.researchgroupMecánica Aplicadaspa
dc.date.accessioned2021-04-16T20:10:42Z
dc.date.available2021-04-16T20:10:42Z
dc.date.issued2019-01-01
dc.description.abstractThe numerical determination of dispersion relations in periodic materials via the finite element method is a difficult task in most standard codes. Here, we propose a novel technique which allows the computation of these band structures from local elemental subroutines in contrast with existing methods which impose Bloch boundary conditions on the global arrays. The proposed local approach is thus readily applicable to several physical contexts and space dimensionalities. Here we present the details of this element-based algorithm and provide verification results for three different kinematic assumptions applied to phononic crystals in a classical and a micropolar elastic medium. The paper also includes in the form of supplementary material, a fully-coded user subroutine and a test-problem to be used in a commercial finite element code. © 2019 IMACS.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=8978
dc.identifier.doi10.1142/S2591728519500051
dc.identifier.issn25917285
dc.identifier.issn25917811
dc.identifier.otherWOS;000568411800010
dc.identifier.otherSCOPUS;2-s2.0-85070369534
dc.identifier.urihttp://hdl.handle.net/10784/29216
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-s2.0-85070369534&doi=10.1142%2fS2591728519500051&partnerID=40&md5=0ec6f67872a97b3f125f97aa6562e67a
dc.rightsWorld Scientific Publishing Co. Pte Ltd
dc.sourceJournal Of Theoretical And Computational Acoustics
dc.subject.keywordBloch analysiseng
dc.subject.keywordcommercial FE codeseng
dc.subject.keyworddispersion relationeng
dc.subject.keywordPeriodic materialseng
dc.subject.keyworduser element routineseng
dc.titleA General-Purpose Element-Based Approach to Compute Dispersion Relations in Periodic Materials with Existing Finite Element Codeseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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