Bi-directional higher-order shear deformable mixed finite element formulation including couple effects for stresses of functionally graded curved 3d beams

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dc.contributor.authorArıbaş, Ümit Necmettin
dc.date.accessioned2025-10-11T08:02:44Z
dc.date.available2025-10-11T08:02:44Z
dc.date.issued2024
dc.departmentİstanbul Medipol Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, İnşaat Mühendisliği Bölümü
dc.description.abstractThis paper presents a formulation based on higher-order shear deformation functions in both normal and binormal directions on the cross section to include the influence of in-plane shear stresses in the case of curved beams subjected to out-of-plane forces. Besides, another distinctive feature is the introduction of accuracy elements at the stress concentration zones to widen the range of St. Venant principle. Within this scope, a two-noded curved mixed finite element formulation with twenty-eight degree of freedoms (DOFs) in total is derived. The curved axial geometry is defined over the exact functions of the gradient of arch length and curvature. The volume fraction of functionally graded (FG) material constituents is based on the power-law distribution and the rule of mixture. The functional including the coupling effects is derived via the Hellinger Reissner formulation. The normal/shear stresses are determined over the curvatures on the section and stress equilibrium condition. Quite satisfactory converged results with respect to the solid finite elements are obtained via advantageous DOFs for the bi-directional higher-order shear deformable mixed finite elements which reduces the computational time and space. Besides, in order to increase the precision at the stress concentration zones, the length ratios of the mixed finite elements at these zones are related to the geometric features and material parameters. Finally, the influences of geometric features, material constituents and the power-law index on the stress distribution of FG spatial/planar curved beams are presented both via the bi-directional higher-order mixed finite elements and the solid finite elements. Graphical abstract: (Figure presented.)
dc.identifier.citationArıbaş, Ü. N. (2024). Bi-directional higher-order shear deformable mixed finite element formulation including couple effects for stresses of functionally graded curved 3d beams. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 46(11). http://dx.doi.org/10.1007/s40430-024-05211-3
dc.identifier.doi10.1007/s40430-024-05211-3
dc.identifier.issn1678-5878
dc.identifier.issn1806-3691
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85206240631
dc.identifier.scopusqualityQ2
dc.identifier.urihttp://dx.doi.org/10.1007/s40430-024-05211-3
dc.identifier.urihttps://hdl.handle.net/20.500.12511/13083
dc.identifier.volume46
dc.identifier.wosWOS:001329439000003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorArıbaş, Ümit Necmettin
dc.institutionauthorid0000-0002-9703-9467
dc.language.isoen
dc.relation.ispartofJournal of the Brazilian Society of Mechanical Sciences and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectCurved Beam
dc.subjectFunctionally Graded
dc.subjectHigher-Order Shear Deformation
dc.subjectMixed Finite Element
dc.subjectStress
dc.titleBi-directional higher-order shear deformable mixed finite element formulation including couple effects for stresses of functionally graded curved 3d beams
dc.typeArticle

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