Bending analysis of two-directional functionally graded beams using trigonometric series functions

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dc.authoridTuran, Muhittin/0000-0002-5703-0580
dc.contributor.authorTuran, Muhittin
dc.date.accessioned2024-10-04T18:48:23Z
dc.date.available2024-10-04T18:48:23Z
dc.date.issued2022
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn the present paper, Navier's method based on the first-order shear deformation theory for bending analysis of two-directional functionally graded beams subjected to various sets of boundary conditions is presented. In Navier's method, different trigonometric series functions are proposed for each boundary condition. The accuracy of these proposed functions was investigated and compared with the literature. It is also presented in a parametric study. The governing equations are derived according to Lagrange's principle. The variation of the components of the beam material in the volume is defined by a power-law rule. The normalized maximum transverse deflections, the normalized axial and transverse shear stresses are obtained for various boundary conditions, gradation exponents (p(x), p(z)) in the x- and z-directions, and the slenderness (L/h). The trigonometric series functions used in this study give results that are quite compatible with the literature. In addition, the parametric study contributes to the literature.en_US
dc.identifier.doi10.1007/s00419-022-02152-y
dc.identifier.endpage1858en_US
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85128545965en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1841en_US
dc.identifier.urihttps://doi.org/10.1007/s00419-022-02152-y
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3037
dc.identifier.volume92en_US
dc.identifier.wosWOS:000784610500001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofArchive of Applied Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTwo-directional functionally graded materialsen_US
dc.subjectNavier's methoden_US
dc.subjectBending analysisen_US
dc.subjectFirst-order shear deformation theoryen_US
dc.subjectTrigonometric series functionsen_US
dc.titleBending analysis of two-directional functionally graded beams using trigonometric series functionsen_US
dc.typeArticleen_US

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