Structural Engineering and Mechanics

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Effect of nonlinear FG-CNT distribution on mechanical properties of functionally graded nano-composite beam

  • Zerrouki, Rachid (Faculty of Applied Sciences, Synthesis and Catalysis Laboratory LSCT, University of Tiaret) ;
  • Karas, Abdelkader (Faculty of Applied Sciences, Synthesis and Catalysis Laboratory LSCT, University of Tiaret) ;
  • Zidour, Mohamed (University of Tiaret) ;
  • Bousahla, Abdelmoumen Anis (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of SidiBel Abbes) ;
  • Bourada, Fouad (Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of SidiBel Abbes) ;
  • Tounsi, Abdeldjebbar (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes) ;
  • Benrahou, Kouider Halim (Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of SidiBel Abbes) ;
  • Mahmoud, S.R. (GRC Department, Jeddah Community College, King Abdulaziz University)
  • Received : 2020.04.10
  • Accepted : 2021.01.22
  • Published : 2021.04.25
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Abstract

This work focused on the novel numerical tool for the bending responses of carbon nanotube reinforced composites (CNTRC) beams. The higher order shear deformation beam theory (HSDT) is used to determine strain-displacement relationships. A new exponential function was introduced into the carbon nanotube (CNT) volume fraction equation to show the effect of the CNT distribution on the CNTRC beams through displacements and stresses. To determine the mechanical properties of CNTRCs, the rule of the mixture was employed by assuming that the single-walled carbon nanotubes (SWCNTs)are aligned and distributed in the matrix. The governing equations were derived by Hamilton's principle, and the mathematical models presented in this work are numerically provided to verify the accuracy of the present theory. The effects of aspect ratio (l/d), CNT volume fraction (Vcnt), and the order of exponent (n) on the displacement and stresses are presented and discussed in detail. Based on the analytical results. It turns out that the increase of the exponent degree (n) makes the X-beam stiffer and the exponential CNTs distribution plays an indispensable role to improve the mechanical properties of the CNTRC beams.

Keywords

References

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