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Nonstandard continualization of 1D lattice with next-nearest interactions. Low order ODEs and enhanced prediction of the dispersive behavior

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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.authorFernández-Sáez, José
dc.contributor.authorZaera, Ramón
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2022-12-13T16:03:17Z
dc.date.available2022-12-13T16:03:17Z
dc.date.issued2022-03-01
dc.description.abstractIn this article, different standard and nonstandard continualization techniques are applied to a one-dimensional solid consisting in a chain of masses interacting with nearest and next-nearest neighbors through linear springs. The study focuses on the reliability of the different continua in capturing the dispersive behavior of the discrete, on the order of the continuous governing equation because of its effect on the need for including nonclassical boundary conditions, as well as on the physical inconsistencies that appear for short wavelengths. The Regularization method, used by Bacigalupo and Gambarotta for a lattice with nearest interactions, presents advantages over the others.en
dc.description.sponsorshipThe authors wish to acknowledge the Ministerio de Economía y Competitividad de España for the financial support [Grant no. PGC2018-098218-B-I00].en
dc.format.extent10es
dc.identifier.bibliographicCitationGómez-Silva, F., Fernández-Sáez, J., & Zaera, R. (2022). Nonstandard continualization of 1D lattice with next-nearest interactions. Low order ODEs and enhanced prediction of the dispersive behavior. Mechanics of Advanced Materials and Structures, 29(6), 923–932.en
dc.identifier.doihttps://doi.org/10.1080/15376494.2020.1799271
dc.identifier.issn1537-6494
dc.identifier.issn1537-6532 (online)
dc.identifier.publicationfirstpage923es
dc.identifier.publicationissue6es
dc.identifier.publicationlastpage932es
dc.identifier.publicationtitleMechanics of Advanced Materials and Structuresen
dc.identifier.publicationvolume29es
dc.identifier.urihttps://hdl.handle.net/10016/36172
dc.identifier.uxxiAR/0000029658
dc.language.isoengen
dc.publisherTaylor and Francisen
dc.relation.projectIDGobierno de España. PGC2018-098218-B-I00es
dc.rights© 2020 The Author(s). Published with license by Taylor and Francis Group, LLCen
dc.rightsThis is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.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.otherNext-nearest interactionsen
dc.subject.otherLattice dynamicsen
dc.subject.otherDispersive behavioren
dc.subject.otherContinualizationen
dc.subject.otherShift operatoren
dc.subject.otherRegularizationen
dc.titleNonstandard continualization of 1D lattice with next-nearest interactions. Low order ODEs and enhanced prediction of the dispersive behavioren
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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