Buckling analysis of thin-walled functionally graded sandwich box beams

Abstract

Buckling analysis of thin-walled functionally graded (FG) sandwich box beams is investigated. Material properties of the beam are assumed to be graded through the wall thickness. The Euler-Bernoully beam theory for bending and the Vlasov theory for torsion are applied. The non-linear stability analysis is performed in framework of updated Lagrangian formulation. In order to insure the geometric potential of semitangental type for internal bending and torsion moments, the non-linear displacement field of thinwalled cross-section is adopted. Numerical results are obtained for FG sandwich box beams with simplysupported, clamped-free and clamped-clamped boundary conditions to investigate effects of the power-law index and skin-core-skin thickness ratios on the critical buckling loads and post-buckling respones.Numerical results show that the above-mentioned effects play very important role on the buckling analysis of sandwich box beams.

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

“…Furthermore, the critical buckling load in clamped FGM is greater than that in simply supported FGM plates provided that volume fraction index is same Lal and Ahlawat [100]. In-plan material inhomogeneity plays a vital role to avoid buckling in FG thin plates (Lanc et al [101]). Mantari and Monge [88] suggested buckling optimization to examine buckling of FG Sandwich plates.…”

“…Moreover, critical buckling load varies directly with the slenderness ratio and varies inversely with gradient index [106]. Lanc et al [101] attempted buckling analysis of FG Sandwich box beams considering different boundary conditions. It was inferred that deceleration in critical buckling in all boundary conditions has a direct relation with skin-core-skin ratio of the box beam.…”

Nonlinear buckling behaviours of thin-walled functionally graded open section beams

“…Three variants of FG beam walls are considered [21] (Fig. 2): 1) Type A: the wall is graded from metal surface (n = t0 = -t/2) to a top ceramic surface (n = t3 = +t/2)…”

“…Although many researchers investigated vibration or buckling analysis of FG beams with rectangular cross-section [13][14][15][16][17][18][19][20], thin-walled box section [21] and open section [22,23], according to the authors' knowledge, there is no work available to study flexural-torsional and lateral buckling of FG open section beams in a unitary manner. As a result, this is also main objective of this paper.…”

An original FSDT to study advanced composites on elastic foundation

“…(2) can be utilized for beam models, since if rotations are small, the incremental displacement field of a thin-walled cross-section beams contains only FSDT terms [20].…”