Finite elements numerical solution to deep beams based on layerwise displacement field

dc.contributor.authorVilar, M. M.S.
dc.contributor.authorSartorato, M. [UNESP]
dc.contributor.authorSantana, H. B.
dc.contributor.authorLeite, M. R.
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T16:55:23Z
dc.date.available2018-12-11T16:55:23Z
dc.date.issued2018-09-01
dc.description.abstractThis paper proposes a numerical solution to deep beams using the layerwise displacement theory. Most of the methods for performing structural analyses of deep beams have geometric and boundary conditions limitations, as well as modeling inconveniences. This paper provides a finite element solution for deep beams based on a layerwise displacement field considering the full stress/strain tensors. In this formulation, the cross section is discretized in a pre-defined number of independent virtual layers, with linear interpolation within the thickness direction. To validate the model developed, two numerical examples are analyzed. The first is a reinforced concrete deep beam with two supports, loaded over the top face, validated by finite element analysis based on solid-element ABAQUS™ software. Next, an isotropic deep beam with both ends cantilevered is analyzed and the outcome is compared to the literature. The results of both numerical examples are accurate and can estimate the complete state of stress over all domains of the element. Moreover, the layerwise formulation does not suffer from shear and membrane locking, and it may use fewer computational resources than equivalent 3D finite element analyses.en
dc.description.affiliationGroup of Aeronautic Structure (GEA) Department of Aeronautical Engineering School of Engineering of São Carlos University of São Paulo, Av. João Dagnone, 1100 - Jardim Santa Angelina
dc.description.affiliationSão Paulo State University (UNESP) São João da Boa Vista Campus, Av. Profa. Isette Corrêa Fontão, 505 - Jardim das Flores
dc.description.affiliationUnespSão Paulo State University (UNESP) São João da Boa Vista Campus, Av. Profa. Isette Corrêa Fontão, 505 - Jardim das Flores
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 2015/13844-8
dc.identifierhttp://dx.doi.org/10.1007/s40430-018-1391-2
dc.identifier.citationJournal of the Brazilian Society of Mechanical Sciences and Engineering, v. 40, n. 9, 2018.
dc.identifier.doi10.1007/s40430-018-1391-2
dc.identifier.file2-s2.0-85053283240.pdf
dc.identifier.issn1806-3691
dc.identifier.issn1678-5878
dc.identifier.scopus2-s2.0-85053283240
dc.identifier.urihttp://hdl.handle.net/11449/171453
dc.language.isoeng
dc.relation.ispartofJournal of the Brazilian Society of Mechanical Sciences and Engineering
dc.relation.ispartofsjr0,362
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectDeep beam
dc.subjectFinite elements
dc.subjectLayerwise
dc.subjectNumerical solution
dc.titleFinite elements numerical solution to deep beams based on layerwise displacement fielden
dc.typeArtigo

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