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Low-order continualization of an anisotropic membrane lattice with next-nearest interactions. Enhanced prediction of its dynamic behaviour

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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.funderAgencia Estatal de Investigación (España)es
dc.date.accessioned2023-07-03T11:08:20Z
dc.date.available2023-07-03T11:08:20Z
dc.date.issued2023-01
dc.description.abstractIn this paper, a novel anisotropic membrane lattice with nearest and next-nearest interactions (long-range forces) has been continualized through different standard and non-standard continualization procedures, which enables the development of new non-classical continuum models capable of accurately capturing the scale effects, present in the matter due to its discrete nature. The performance of these continuum models is assessed by means of both dispersion and natural frequencies analyses, where the discrete model is considered as a reference. In addition, the appearance of certain physical inconsistencies in some of the developed models is analysed, concluding that these only appear for those developed with continualizations based on Taylor expansion. Interestingly, the non-standard models suitably capture the dispersive behaviour of the discrete one, without both physical inconsistencies and higher-order spatial derivatives, thus avoiding the need for extra boundary conditions when finite solids are involved.en
dc.description.sponsorshipThe authors acknowledge support from MCIN/AEI /10.13039/501100011033 under Grants numbers PGC2018-098218-B-I00 and PRE2019-088002. FEDER: A way to make Europe. ESF invests in your future.en
dc.format.extent18
dc.identifier.bibliographicCitationGómez-Silva, F., & Zaera, R. (2023). Low-order continualization of an anisotropic membrane lattice with next-nearest interactions. Enhanced prediction of its dynamic behaviour. European Journal of Mechanics - A/Solids, 97, 104801.en
dc.identifier.doihttps://doi.org/10.1016/j.euromechsol.2022.104801
dc.identifier.issn0997-7538
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue104801
dc.identifier.publicationlastpage18
dc.identifier.publicationtitleEuropean Journal of Mechanics - A/Solidsen
dc.identifier.publicationvolume97
dc.identifier.urihttps://hdl.handle.net/10016/37717
dc.identifier.uxxiAR/0000032497
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.ecienciaBiología y Biomedicinaes
dc.subject.ecienciaElectrónicaes
dc.subject.ecienciaFísicaes
dc.subject.ecienciaIngeniería Industriales
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMaterialeses
dc.subject.ecienciaTelecomunicacioneses
dc.subject.otherContinualizationen
dc.subject.otherDispersive behaviouren
dc.subject.otherMembrane latticeen
dc.subject.otherNatural frequenciesen
dc.subject.otherNext-nearest interactionsen
dc.subject.otherPseudo-differential operatoren
dc.titleLow-order continualization of an anisotropic membrane lattice with next-nearest interactions. Enhanced prediction of its dynamic behaviouren
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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