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One-dimensional dispersion phenomena in terms of fractional media

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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.authorSumelka, Wojciech
dc.contributor.authorZaera, Ramón
dc.contributor.authorFernández-Sáez, José
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2023-01-17T10:59:58Z
dc.date.available2023-01-17T10:59:58Z
dc.date.issued2016-09-19
dc.description.abstractIt is well know that structured solids present dispersive behaviour which cannot be captured by the classical continuum mechanics theories. A canonical problem in which this can be seen is the wave propagation in the Born-Von Karman lattice. In this paper the dispersive effects in a 1D structured solid is analysed using the Fractional Continuum Mechanics (FCM) approach previously proposed by Sumelka (2013). The formulation uses the Riesz-Caputo (RC) fractional derivative and introduces two phenomenological/material parameters: 1) the size of non-local surrounding l(f), which plays the role of the lattice spacing; and 2) the order of fractional continua a, which can be devised as a fitting parameter. The results obtained with this approach have been compared with the reference dispersion curve of Born-Von Karman lattice, and the capability of the fractional model to capture the size effects present in the dynamic behaviour of discrete systems has been proved.en
dc.description.sponsorshipThe authors wish to acknowledge the Ministerio de Economía y Competitividad de España for the financial support, under grant number DPI2014-57989-P.en
dc.format.extent9es
dc.identifier.bibliographicCitationSumelka, W., Zaera, R., & Fernández-Sáez, J. (2016). One-dimensional dispersion phenomena in terms of fractional media. European Physical Journal Plus, 131(9)en
dc.identifier.doihttps://doi.org/10.1140/epjp/i2016-16320-3
dc.identifier.issn2190-5444
dc.identifier.publicationfirstpage1es
dc.identifier.publicationissue9es
dc.identifier.publicationlastpage9es
dc.identifier.publicationtitleThe European Physical Journal Plusen
dc.identifier.publicationvolume131es
dc.identifier.urihttps://hdl.handle.net/10016/36282
dc.identifier.uxxiAR/0000018290
dc.language.isoengen
dc.publisherSpringeren
dc.relation.projectIDGobierno de España. DPI2014-57989-Pes
dc.rights© The Author(s) 2016. This article is published with open access at Springerlink.comen
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMaterialeses
dc.subject.otherCouple stress theoryen
dc.subject.otherContinuum-mechanicsen
dc.subject.otherNonlocal elasticityen
dc.subject.otherCalculusen
dc.subject.otherDerivativesen
dc.subject.otherModelsen
dc.subject.otherBeamsen
dc.titleOne-dimensional dispersion phenomena in terms of fractional mediaen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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