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, vol.91, no.12, pp.4783-4796, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 91 Issue: 12
  • Publication Date: 2021
  • Doi Number: 10.1007/s00419-021-02033-w
  • Journal Name: Archive of Applied Mechanics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.4783-4796
  • Keywords: Stress, Exact super-elliptical geometry, Axially functionally graded beam, Warping, Mixed finite element
  • Istanbul Medipol University Affiliated: Yes

Abstract

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.