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Archive of Applied Mechanics

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17-09-2021 | Original

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

Authors: Umit N. Aribas, Merve Ermis, Mehmet H. Omurtag

Published in: Archive of Applied Mechanics | Issue 12/2021

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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.

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Title: The static and stress analyses of axially functionally graded exact super-elliptical beams via mixed FEM
Authors: Umit N. Aribas
Merve Ermis
Mehmet H. Omurtag
Publication date: 17-09-2021
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 12/2021
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-021-02033-w

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