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

Rachid Zerrouki , Abdelkader Karas , Mohamed Zidour , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , Fouad Bourada , Abdeldjebbar Tounsi , Kouider Halim Benrahou , S.R. Mahmoud

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.

Key Words

nanotube; bending; shear deformation; volume fraction; beam

Address

Rachid Zerrouki — Faculty of Applied Sciences, Synthesis and Catalysis Laboratory LSCT, University of Tiaret, Algeria; University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria
Abdelkader Karas — Faculty of Applied Sciences, Synthesis and Catalysis Laboratory LSCT, University of Tiaret, Algeria; University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria
Mohamed Zidour — University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria; Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria
Abdelmoumen Anis Bousahla — Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algeria
Abdelouahed Tounsi — Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of SidiBel Abbes, Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Fouad Bourada — Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of SidiBel Abbes, Algeria; Departement des Sciences et de la Technologie, Universite de Tissemsilt, BP 38004 Ben Hamouda, Algerie
Abdeldjebbar Tounsi — Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algeria; Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of SidiBel Abbes, Algeria
Kouider Halim Benrahou — Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of SidiBel Abbes, Algeria
S.R. Mahmoud — GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah, Saudi Arabia

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