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Advances in Materials Research
  Volume 3, Number 2, July 2014 , pages 077-89
DOI: https://doi.org/10.12989/amr.2014.3.2.077
 

Thermal buckling properties of zigzag single-walled carbon nanotubes using a refined nonlocal model
Abdelwahed Semmah, O. Anwar Bég, S.R. Mahmoud, Houari Heireche and Abdelouahed Tounsi5

 
Abstract
    In the present article, the thermal buckling of zigzag single-walled carbon nanotubes (SWCNTs) is studied using a nonlocal refined shear deformation beam theory and Von-Karman geometric nonlinearity. The model developed simulates both small scale effects and higher-order variation of transverse shear strain through the depth of the nanobeam. Furthermore the present formulation also accommodates stress-free boundary conditions on the top and bottom surfaces of the nanobeam. A shear correction factor, therefore, is not required. The equivalent Young\'s modulus and shear modulus for zigzag SWCNTs are derived using an energy-equivalent model. The present study illustrates that the thermal buckling properties of SWCNTs are strongly dependent on the scale effect and additionally on the chirality of zigzag carbon nanotube. Some illustrative examples are also presented to verify the present formulation and solutions. Good agreement is observed.
 
Key Words
    carbon nanotube; computer modelling and simulation; thermal properties
 
Address
Abdelwahed Semmah:Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria

O. Anwar Bég: Gort Engovation- Propulsion, Nanomechanics and Biophysics, Southmere Avenue, Bradford, UK

S. R. Mahmoud:Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia, Mathematics Department, Faculty of Science, University of Sohag, Egypt

Abdelouahed Tounsi:Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria

 

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