Employing an analytical method for post-buckling analysis of functionally graded beams

Mokhtar Bouazza, Khaled Amara and Mohamed Zidour

Abstract

In this work, it would be very interesting to study the post-buckling response of FG beams with relatively simple boundary conditions, i.e., simply supported. The material properties of the beams are considered to vary continuously in the thickness direction according to the power-law form. The formulations used are based on the classical beam theory (CBT), and two higher order theories, such as, the hyperbolic shear deformation theory of beams (HSDBT) and the Aydogdu shear deformation theory (ASDBT). On the one hand, in this context, we examine the effects of two parameters, such as the slenderness ratio and material variations presented by the power index on the critical buckling load via the two formulations of beam theories. The results in the tables can be useful and can be considered as a reference with which other researchers can verify the accuracy of their results.

Key Words

ASDBT; beams, functionally graded materials; HSDBT; postbuckling CBT

Address

Mokhtar Bouazza: Department of Civil Engineering, University Tahri Mohammed of Bechar, Bechar 08000, Algeria; Laboratory of Materials and Hydrology (LMH), University of Sidi Bel Abbes, Sidi Bel Abbes 2200, Algeria Khaled Amara: Engineering and Sustainable Development Laboratory, University of Ain Temouchent, Ain Temouchent 46000, Algeria; Department of Civil Engineering, University of Ain Temouchent, Ain Temouchent 46000, Algeria Mohamed Zidour: Laboratory of Geomatics and Sustainable Development, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria; Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria

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