Arıbaş, Ümit NecmettinErmiş, MerveOmurtag, Mehmet Hakkı2021-12-272021-12-272021Arıbaş, 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-w0939-15331432-0681https://doi.org/10.1007/s00419-021-02033-whttps://hdl.handle.net/20.500.12511/8725In 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.eninfo:eu-repo/semantics/embargoedAccessStressExact Super-Elliptical GeometryAxially Functionally Graded BeamWarpingMixed Finite ElementArticle91124783479610.1007/s00419-021-02033-wQ3Q2