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Novel Enriched Kinetic Energy continuum model for the enhanced prediction of a 1D lattice with next-nearest interactions

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dc.affiliation.dptoUC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructurases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Dinámica y Fractura de Elementos Estructuraleses
dc.contributor.authorGómez Silva, Francisco
dc.contributor.authorZaera, Ramón
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-05-26T07:12:34Z
dc.date.available2023-05-26T07:12:34Z
dc.date.issued2022-02-01
dc.description.abstractIn this paper, a novel Enriched Kinetic Energy model is proposed for an enhanced prediction of the dynamic behaviour of a one-dimensional lattice with next-nearest interactions playing an important role. The lattice system here considered is made up of a chain formed by particles equally spaced and connected with nearest and next-nearest neighbours, through linear springs with different stiffness. The ability of the novel model proposed in this work in capturing the dynamic behaviour of the lattice system is compared with that of others presented in the literature, concluding that it is the one that shows the best performance around the limit of the Irreducible Brillouin Zone (small wavelengths) when next-nearest interactions are relevant. For this purpose, natural frequencies provided by the continuum models for the finite solid are compared with those provided by the discrete system, considered as a reference. Moreover, the novel Enriched Kinetic Energy model does not present physical inconsistencies, nor higher-order spatial derivatives in its governing equation, so it does not need non-classical boundary conditions to be solved when finite solids are treated.en
dc.description.sponsorshipThe authors acknowledge MCIN/ AEI /10.13039/501100011033 for the financial support under Grants numbers PGC2018-098218-B-I00 and PRE2019-088002. FEDER: A way to make Europe. ESF invests in your future.en
dc.format.extent13
dc.identifier.bibliographicCitationGómez-Silva, F., & Zaera, R. (2022). Novel Enriched Kinetic Energy continuum model for the enhanced prediction of a 1D lattice with next-nearest interactions. Composite Structures, 281, 115003.en
dc.identifier.doihttps://doi.org/10.1016/j.compstruct.2021.115003
dc.identifier.issn0263-8223
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue115003
dc.identifier.publicationlastpage13
dc.identifier.publicationtitleComposite Structuresen
dc.identifier.publicationvolume281
dc.identifier.urihttps://hdl.handle.net/10016/37363
dc.identifier.uxxiAR/0000031205
dc.language.isoeng
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. PGC2018-098218-B-I00es
dc.relation.projectIDGobierno de España. PRE2019-088002es
dc.relation.projectIDAT-2022
dc.rights© 2022 The Authors.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMaterialeses
dc.subject.otherEnriched kinetic energyen
dc.subject.otherLattice dynamicsen
dc.subject.otherLow-order continuum modelsen
dc.subject.otherNext-nearest interactionsen
dc.subject.otherShift operatoren
dc.titleNovel Enriched Kinetic Energy continuum model for the enhanced prediction of a 1D lattice with next-nearest interactionsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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