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On static buckling of multilayered carbon nanotubes reinforced composite nanobeams supported on non-linear elastic foundations

  • Alazwari, Mashhour A. (Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University) ;
  • Daikh, Ahmed Amine (Laboratoire d'Etude des Structures et de Mecanique des Materiaux, Department of Civil Engineering) ;
  • Houari, Mohammed Sid Ahmed (Laboratoire d'Etude des Structures et de Mecanique des Materiaux, Department of Civil Engineering) ;
  • Tounsi, Abdelouahed (Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals) ;
  • Eltaher, Mohamed A. (Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University)
  • Received : 2021.03.14
  • Accepted : 2021.05.17
  • Published : 2021.08.10
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Abstract

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.

Keywords

Acknowledgement

This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (D-383-135-1442). The authors, therefore, gratefully acknowledge DSR technical and financial support.

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