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

ARIBAŞ Ü. N., Ermis M., OMURTAG M. H.

Archive of Applied Mechanics, cilt.91, sa.12, ss.4783-4796, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 91 Sayı: 12
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00419-021-02033-w
  • Dergi Adı: Archive of Applied Mechanics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.4783-4796
  • Anahtar Kelimeler: Stress, Exact super-elliptical geometry, Axially functionally graded beam, Warping, Mixed finite element
  • İstanbul Medipol Üniversitesi Adresli: Evet

Özet

In 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.