A New Higher-Order Finite Element for Static Analysis of Two-Directional Functionally Graded Porous Beams

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dc.authoridADIYAMAN, GOKHAN/0000-0002-3076-4090
dc.authoridTuran, Muhittin/0000-0002-5703-0580
dc.contributor.authorTuran, Muhittin
dc.contributor.authorAdiyaman, Gokhan
dc.date.accessioned2024-10-04T18:48:08Z
dc.date.available2024-10-04T18:48:08Z
dc.date.issued2023
dc.departmentBayburt Üniversitesien_US
dc.description.abstractA new higher-order finite element for the static analysis of two-directional functionally graded (2D FG) porous beams subjected to various boundary conditions based on parabolic shear deformation theory (PSDT) is presented. The main purpose of this study is to predict the deflections and stresses of 2D FG porous and non-porous beams with the help of the proposed finite element. Since a higher-order finite element with a third order polynomial is used, the deflections and stresses can be accurately and rapidly obtained even for short beams. In addition, the new higher-order element is free of shear locking phenomenon without requiring any shear correction factors. Three types of distribution functions were used for porosity in this study. To the author's knowledge, the sinusoidal uneven distribution function (FGP-3) is presented for the first time. The governing equations are derived by Lagrange's principle using a parabolic shear deformation theory that considers normal and shear deformations. According to a power-law rule, the material change in the beam volume in both directions is defined. The dimensionless maximum transverse deflections, normal stresses, and shear stresses are obtained for various boundary conditions, gradation exponents (p(x), p(z)) in the x- and z-directions, porosity coefficient (e), porosity distribution (FGP-1, FGP-2, FGP-3), and the slenderness (L/h). This study's new higher-order finite element gives results compatible with the literature and it can be used to accurately find the deflections and stresses for the 2D FG non-porous or porous beams subjected to various boundary conditions.en_US
dc.identifier.doi10.1007/s13369-023-07742-8
dc.identifier.endpage13321en_US
dc.identifier.issn2193-567X
dc.identifier.issn2191-4281
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85150664944en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage13303en_US
dc.identifier.urihttps://doi.org/10.1007/s13369-023-07742-8
dc.identifier.urihttp://hdl.handle.net/20.500.12403/2915
dc.identifier.volume48en_US
dc.identifier.wosWOS:000958504200001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofArabian Journal For Science and Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject2D FG materialsen_US
dc.subjectFinite elementen_US
dc.subjectStatic analysisen_US
dc.subjectParabolic shear deformation theoryen_US
dc.subject2D FG porous beamsen_US
dc.titleA New Higher-Order Finite Element for Static Analysis of Two-Directional Functionally Graded Porous Beamsen_US
dc.typeArticleen_US

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