Steel and Composite Structures

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Static analysis of multilayer nonlocal strain gradient nanobeam reinforced by carbon nanotubes

  • Daikh, Ahmed Amine (Department of Civil Engineering, Laboratoire d'Etude des Structures et de Meecanique des Mateeriaux) ;
  • Drai, Ahmed (Department of Mechanical Engineering, Mustapha STAMBOULI, University of Mascara) ;
  • Houari, Mohamed Sid Ahmed (Department of Civil Engineering, Laboratoire d'Etude des Structures et de Meecanique des Mateeriaux) ;
  • Eltaher, Mohamed A. (Faculty of Engineering, Department of Mechanical Engineering, King Abdulaziz University)
  • Received : 2020.07.05
  • Accepted : 2020.08.28
  • Published : 2020.09.25
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Abstract

This article presents a comprehensive static analysis of simply supported cross-ply carbon nanotubes reinforced composite (CNTRC) laminated nanobeams under various loading profiles. The nonlocal strain gradient constitutive relation is exploited to present the size-dependence of nano-scale. New higher shear deformation beam theory with hyperbolic function is proposed to satisfy the zero-shear effect at boundaries and parabolic variation through the thickness. Carbon nanotubes (CNTs), as the reinforced elements, are distributed through the beam thickness with different distribution functions, which are, uniform distribution (UD-CNTRC), V- distribution (FG-V CNTRC), O- distribution (FG-O CNTRC) and X- distribution (FG-X CNTRC). The equilibrium equations are derived, and Fourier series function are used to solve the obtained differential equation and get the response of nanobeam under uniform, linear or sinusoidal mechanical loadings. Numerical results are obtained to present influences of CNTs reinforcement patterns, composite laminate structure, nonlocal parameter, length scale parameter, geometric parameters on center deflection ad stresses of CNTRC laminated nanobeams. The proposed model is effective in analysis and design of composite structure ranging from macro-scale to nano-scale.

Keywords

Acknowledgement

This research was supported by the Algerian Directorate General of Scientific Research and Technological Development (DGRSDT) and University of Mustapha Stambouli of Mascara (UMS Mascara) in Algeria.

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