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Steel and Composite Structures
  Volume 40, Number 3, August10 2021, pages 389-404

On static buckling of multilayered carbon nanotubes reinforced composite nanobeams supported on non-linear elastic foundations
Mashhour A. Alazwari, Ahmed Amine Daikh, Mohammed Sid Ahmed Houari, Abdelouahed Tounsi and Mohamed A. Eltaher

    This paper introduces a comprehensive buckling response of cross-ply orientation of carbon nanotube reinforced composite (CNTRC) multilayered nanobeams with different boundary conditions. The nonlocal strain gradient (NLSG) stress-strain governing relations are utilized to include the size-dependence and microstructure effects. Novel hyperbolic higher shear deformation beam theory including thickness stretching effect is used to fulfill both parabolic shear distribution through the thickness and the zero-shear at free boundaries. Parametric studies are performed to inspect the influences of arrangement of reinforcement material distributions functions, different functionally graded (FG) functions, and uniform distribution (UD). The balance equilibrium equations are derived, and Fourier functions are utilized to obtain the critical buckling loads of nanobeam under mechanical loadings. Mechanical properties are assumed to be temperature-dependent by using Touloukian principal. An exact solution is performed satisfying the edge boundary conditions. A detailed numerical analysis is illustrated to examine the impact of CNTs patterns, lamination, side-to-thickness, aspect ratios, microstructure and size scale parameters on critical buckling loads of CNTRC laminated nanobeams.
Key Words
    buckling; CNTRC laminated nanobeams; cross-ply; nonlocal strain gradient theory; quasi-2D higher-order shear; various boundary conditions
Mashhour A. Alazwari: Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia
Ahmed Amine Daikh and Mohammed Sid Ahmed Houari: Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Department of Civil Engineering, Mascara, Algeria
Abdelouahed Tounsi: Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261,
Eastern Province, Saudi Arabia;
YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea;
Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes,
Sidi Bel Abbes, Algeria;
Mohamed A. Eltaher: Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia;
Mechanical Design and Prod. Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt

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