Critical Buckling Loads in Functionally Graded Beams: Comparative Analysis Using Various Beam Theories
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Abstract
This research focuses on the evaluation of static buckling response of FG beams via Euler-Bernoulli and Timoshenko beam models. Loaded simply supported FG beams are loaded with axial compressive force and the properties of FG beam depend on the thickness and follow power-law distribution for all mechanical properties with constant Poisson’s ratio. The governing equations are obtained by minimizing the total potential energy and numerical solution is for the critical buckling load is obtained by using Navier-type approximation. The results show that as the slenderness ratio and power-law exponent increase, the critical buckling load reduces which is a sign of the mechanical change of the FG beam to resemble a uniform aluminum beam. The numerical findings are comparing with existing literature and have reasonable accuracy and usefulness for studying the structural behavior under different scenarios.
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