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

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Show simple item record Gómez Silva, Francisco Zaera, Ramón 2023-05-26T07:12:34Z 2023-05-26T07:12:34Z 2022-02-01
dc.identifier.bibliographicCitation Gómez-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.
dc.identifier.issn 0263-8223
dc.description.abstract In 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.
dc.description.sponsorship The 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.
dc.format.extent 13
dc.language.iso eng
dc.publisher Elsevier
dc.rights © 2022 The Authors.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.subject.other Enriched kinetic energy
dc.subject.other Lattice dynamics
dc.subject.other Low-order continuum models
dc.subject.other Next-nearest interactions
dc.subject.other Shift operator
dc.title Novel Enriched Kinetic Energy continuum model for the enhanced prediction of a 1D lattice with next-nearest interactions
dc.type article
dc.subject.eciencia Ingeniería Mecánica
dc.subject.eciencia Materiales
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. PGC2018-098218-B-I00
dc.relation.projectID Gobierno de España. PRE2019-088002
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 115003
dc.identifier.publicationlastpage 13
dc.identifier.publicationtitle Composite Structures
dc.identifier.publicationvolume 281
dc.identifier.uxxi AR/0000031205
dc.contributor.funder Ministerio de Ciencia e Innovación (España)
dc.affiliation.dpto UC3M. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras
dc.affiliation.grupoinv UC3M. Grupo de Investigación: Dinámica y Fractura de Elementos Estructurales
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