The static and stress analyses of axially functionally graded exact super-elliptical beams via mixed FEM

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dc.authorid0000-0002-9703-9467
dc.authorid0000-0003-2669-6459
dc.contributor.authorArıbaş, Ümit Necmettin
dc.contributor.authorErmiş, Merve
dc.contributor.authorOmurtag, Mehmet Hakkı
dc.date.accessioned2021-12-27T07:05:19Z
dc.date.available2021-12-27T07:05:19Z
dc.date.issued2021
dc.departmentİstanbul Medipol Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümü
dc.description.abstractIn this paper, the static response and normal/shear stresses of axially functionally graded exact super-elliptical beams are presented via a warping-included mixed finite element method. Super-elliptical axis geometry is derived over the exact functions of planar curves. The constitutive equations are obtained from three-dimensional elasticity theory. The mixed finite element formulation is enhanced by including the warping deformations via displacement-type finite elements on the cross-section. The two-noded curved mixed finite element has twenty-four degrees of freedom in total. Satisfactory results are obtained for the warping-included normal/shear stresses, displacements and reactional forces of axially functionally graded exact super-elliptical beams even with lesser degrees of freedom compared to the three-dimensional behavior of brick finite elements. As benchmark examples, the influences of high axial curvature, cross-sectional geometry and material gradation on the static response and stresses of axially functionally graded exact super-elliptical beams are investigated.
dc.identifier.citationArıbaş, Ü. N., Ermiş, M. ve Omurtag, M. H. (2021). The static and stress analyses of axially functionally graded exact super-elliptical beams via mixed FEM. Archive of Applied Mechanics, 91(12), 4783-4796. https://doi.org/10.1007/s00419-021-02033-w
dc.identifier.doi10.1007/s00419-021-02033-w
dc.identifier.endpage4796
dc.identifier.issn0939-1533
dc.identifier.issn1432-0681
dc.identifier.issue12
dc.identifier.scopusqualityQ2
dc.identifier.startpage4783
dc.identifier.urihttps://doi.org/10.1007/s00419-021-02033-w
dc.identifier.urihttps://hdl.handle.net/20.500.12511/8725
dc.identifier.volume91
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofArchive of Applied Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectStress
dc.subjectExact Super-Elliptical Geometry
dc.subjectAxially Functionally Graded Beam
dc.subjectWarping
dc.subjectMixed Finite Element
dc.titleThe static and stress analyses of axially functionally graded exact super-elliptical beams via mixed FEM
dc.typeArticle

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