Effect of orthotropic foundation on the stability and bending analysis of FG-CNT porous beam with stretching effect

Kenza Djilali Djebbour , Mokhtar Nebab , Hassen Ait Atmane , Riadh Bennai

Abstract

In this paper, we investigate the displacement characteristics and buckling behavior of Functionally graded carbon nanotube (FG CNT) beams resting on an arbitrary orthotropic variable elastic foundation (AOVEF) using a micromechanical Eshelby-Mori-Tanaka approach with an extended rule of mixture. Four material distributions are introduced to describe the variation of carbon nanotube (CNT) volume fractions throughout the beam's thickness. Additionally, the influence of the porosity factor is considered, and a comparison between the Eshelby-Mori-Tanaka and extended rule of mixture is presented. To account for shear deformation and stretching effects, a Quasi-Three-Dimensional higher-order shear deformation beam theory (Quasi-3D HSDT) is employed. The novelty lies in the simultaneous consideration of: (i) an arbitrarily orthotropic variable elastic foundation (AOVEF) with four Winkler variations (parabolic, sinusoidal, exponential, and constant); (ii) a quasi-3D HSDT including stretching effects; (iii) a comparative micromechanical analysis (Eshelby-Mori-Tanaka vs. extended rule of mixture); and (iv) the combined influence of porosity, orthotropy angle, and CNT distributions. The governing equations for the FG-CNT beam with simply supported ends are derived using Hamilton's principle and solved via Navier's method. A comprehensive investigation into the critical buckling load is conducted, considering the influence of various factors including mode shapes, aspect ratio (L/h), as well as angle and porosity variations.

Key Words

CFD simulation; complex terrain; surface roughness length; topography; typhoon wind field

Address

Kenza Djilali Djebbour, Hassen Ait Atmane, Riadh Bennai — Laboratory of Structures, Geotechnics and Risks, Department of Civil Engineering, Hassiba Benbouali University of Chlef, Algeria; Department of Civil Engineering, Hassiba Benbouali University of Chlef, Algeria
Mokhtar Nebab — Laboratory of Structures, Geotechnics and Risks, Department of Civil Engineering, Hassiba Benbouali University of Chlef, Algeria; Department of Civil Engineering, Faculty of Technology, University of M'Hamed BOUGARA Boumerdes, Algeria

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