Variational principles and finite element Bloch analysis in couple stress elastodynamics

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dc.citation.epage102809spa
dc.citation.issue106spa
dc.citation.journalTitleWave Motionspa
dc.citation.spage102809spa
dc.contributor.affiliationUniversidad EAFITspa
dc.contributor.affiliationCentral Connecticut State Universityspa
dc.contributor.affiliationUniversity at Buffalospa
dc.contributor.authorGuarín-Zapata, Nicolás
dc.contributor.authorGomez, Juan
dc.contributor.authorHadjesfandiari, Ali Reza
dc.contributor.authorDargush, Gary F.
dc.contributor.departmentUniversidad EAFIT. Escuela de Ingeniería. Grupo de Investigación Mecánica Aplicadaspa
dc.date.accessioned2022-08-03T14:38:18Z
dc.date.available2022-08-03T14:38:18Z
dc.date.issued2021-06-16
dc.description.abstractWe address the numerical simulation of periodic solids (phononic crystals) within the framework of couple stress elasticity. The additional terms in the elastic potential energy lead to dispersive behavior in shear waves, even in the absence of material periodicity. To study the bulk waves in these materials, we establish an action principle in the frequency domain and present a finite element formulation for the wave propagation problem related to couple stress theory subject to an extended set of Bloch-periodic boundary conditions. A major difference from the traditional finite element formulation for phononic crystals is the appearance of higher-order derivatives. We solve this problem with the use of a Lagrange-multiplier approach. After presenting the variational principle and general finite element treatment, we particularize it to the problem of finding dispersion relations in elastic bodies with periodic material properties. The resulting implementation is used to determine the dispersion curves for homogeneous and porous couple stress solids, in which the latter is found to exhibit an interesting bandgap structurespa
dc.identifier.doi10.1016/j.wavemoti.2021.102809spa
dc.identifier.urihttp://hdl.handle.net/10784/31567
dc.language.isoengspa
dc.publisherElsevierspa
dc.publisher.departmentEscuela de Ingenieríaspa
dc.publisher.programGrupo de Investigación Mecánica Aplicadaspa
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0165212521001074spa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.localAcceso abiertospa
dc.subjectCristales fonónicosspa
dc.subjectElasticidad de tensión de parspa
dc.subjectMedios dispersivosspa
dc.subjectMetamaterialesspa
dc.subject.keywordMicromechanicsspa
dc.subject.keywordPhononic crystalsspa
dc.subject.keywordCouple stress elasticityspa
dc.subject.keywordWave propagationspa
dc.subject.keywordDispersive mediaspa
dc.subject.keywordMetamaterialsspa
dc.subject.keywordWave transmissionspa
dc.subject.keywordFinite element methodspa
dc.subject.keywordSolid state physicsspa
dc.subject.lembMICROMECÁNICAspa
dc.subject.lembPROPAGACIÓN DE ONDASspa
dc.subject.lembTRANSMISIÓN DE ONDASspa
dc.subject.lembMÉTODO DE ELEMENTOS FINITOSspa
dc.subject.lembFÍSICA DEL ESTADO SÓLIDOspa
dc.titleVariational principles and finite element Bloch analysis in couple stress elastodynamicsspa
dc.typeinfo:eu-repo/semantics/acceptedVersionspa
dc.type.localArtículospa

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