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Steel and Composite Structures
  Volume 44, Number 4, August25 2022 , pages 451-471

Finite element bending and buckling analysis of functionally graded carbon nanotubes-reinforced composite beam under arbitrary boundary conditions
Mohamed-Ouejdi Belarbi, Sattar Jedari Salami, Aman Garg, Hicham Hirane, Daikh Ahmed Amine and Mohammed Sid Ahmed Houari

    In the present paper, the static bending and buckling responses of functionally graded carbon nanotubes-reinforced composite (FG-CNTRC) beam under various boundary conditions are investigated within the framework of higher shear deformation theory. The significant feature of the proposed theory is that it provides an accurate parabolic distribution of transverse shear stress through the thickness satisfying the traction-free boundary conditions needless of any shear correction factor. Uniform (UD) and four graded distributions of CNTs which are FG-O, FG-X, FG- and FG-V are selected here for the analysis. The effective material properties of FG-CNTRC beams are estimated according to the rule of mixture. To model the FG-CNTRC beam realistically, an efficient Hermite–Lagrangian finite element formulation is successfully developed. The accuracy and efficiency of the present model are demonstrated by comparison with published benchmark results. Moreover, comprehensive numerical results are presented and discussed in detail to investigate the effects of CNTs volume fraction, distribution patterns of CNTs, boundary conditions, and length-to-thickness ratio on the bending and buckling responses of FGCNTRC beam. Several new referential results are also reported for the first time which will serve as a benchmark for future studies in a similar direction. It is concluded that the FG-X-CNTRC beam is the strongest beam that carries the lowest central deflection and is followed by the UD, V,
Key Words
    bending; buckling; carbon nanotubes; finite elements; functionally graded material
Mohamed-Ouejdi Belarbi:Laboratoire de Recherche en Genie Civil, LRGC, Universite de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria

Sattar Jedari Salami:Department of Biomedical Engineering, Central Tehran branch, Islamic Azad University, Tehran, Iran

Aman Garg:Department of Civil and Environmental Engineering, The NorthCap University, Gurugram, Haryana, India

Hicham Hirane:Laboratoire de Recherche en Genie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria

Daikh Ahmed Amine:Department of Technology, University Centre of Naama, 45000 Naama, P.O.Box 66, Algeria

Mohammed Sid Ahmed Houari:Laboratoire d'Etude des Structures et de Mecanique des Materiaux, Departement de Genie Civil, Faculte des Sciences et de la Technologie,
Universite Mustapha Stambouli B.P. 305, R.P. 29000 Mascara, Algerie

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