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Advances in Nano Research
  Volume 3, Number 4, December 2015 , pages 193-206
DOI: https://doi.org/10.12989/anr.2015.3.4.193
 


Critical buckling load of chiral double-walled carbon nanotube using non-local theory elasticity
Awda Chemi, Houari Heireche, Mohamed Zidour, Kaddour RAKRAK and Abdelmoumen Anis Bousahla

 
Abstract
    The present paper investigate the elastic buckling of chiral double-walled carbon nanotubes (DWCNTs) under axial compression. Using the non-local elasticity theory, Timoshenko beam model has been implemented. According to the governing equations of non-local theory, the analytical solution is derived and the solution for non-local critical buckling loads is obtained. The numerical results show the influence of non-local small-scale coefficient, the vibrational mode number, the chirality of carbon nanotube and aspect ratio of the (DWCNTs) on non-local critical buckling loads of the (DWCNTs). The results indicate the dependence of non-local critical buckling loads on the chirality of single-walled carbon nanotube with increase the non-local small-scale coefficient, the vibrational mode number and aspect ratio of length to diameter.
 
Key Words
    double-walled carbon nanotubes; chirality; buckling; small-scale; non-local elasticity
 
Address
Awda Chemi, Houari Heireche: Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algerie
Mohamed Zidour: Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, BP 89 Cite Ben M\'hidi,
22000 Sidi Bel Abbes, Algerie; Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie
Kaddour Rakrak: Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algerie; Departement de physique, Faculte des Sciences,.Universite Hassiba benbouali, Chlef, Algerie
Abdelmoumen Anis Bousahla: Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algerie
 

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