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Advances in Nano Research Volume 1, Number 1, March 2013 , pages 1-11 DOI: https://doi.org/10.12989/anr.2013.1.1.001 |
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Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes |
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Abdelouahed Tounsi, Soumia Benguediab, El Abbas Adda Bedia, Abdelwahed Semmah and Mohamed Zidour
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| Abstract | ||
| The thermal buckling properties of double-walled carbon nanotubes (DWCNTs) are studied using nonlocal Timoshenko beam model, including the effects of transverse shear deformation and rotary inertia. The DWCNTs are considered as two nanotube shells coupled through the van der Waals interaction between them. The geometric nonlinearity is taken into account, which arises from the mid-plane stretching. Considering the small-scale effects, the governing equilibrium equations are derived and the critical buckling temperatures under uniform temperature rise are obtained. The results show that the critical buckling temperature can be overestimated by the local beam model if the nonlocal effect is overlooked for long nanotubes. In addition, the effect of shear deformation and rotary inertia on the buckling temperature is more obvious for the higher-order modes. The investigation of the thermal buckling properties of DWCNTs may be used as a useful reference for the application and the design of nanostructures in which DWCNTs act as basic elements. | ||
| Key Words | ||
| buckling analysis; double-walled carbon nanotubes; nonlocal effect; thermal effect | ||
| Address | ||
| Abdelouahed Tounsi: Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, BP 89 Cite Ben M\'hidi, 22000 Sidi Bel Abbes, Algeria; Departement de Genie Civil, Faculte de Technologie, Universite de Sidi Bel Abbes, Algeria Soumia Benguediab: Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, BP 89 Cite Ben M\'hidi, 22000 Sidi Bel Abbes, Algeria El Abbas Adda Bedia: Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, BP 89 Cite Ben M\'hidi, 22000 Sidi Bel Abbes, Algeria Abdelwahed Semmah: Universite de Sidi Bel Abbes, Departement de physique, BP 89 Cite Ben M\'hidi, 22000 Sidi Bel Abbes, Algeria Mohamed Zidour: Laboratoire des Materiaux et Hydrologie, Universite de Sidi Bel Abbes, BP 89 Cite Ben M\'hidi, 22000 Sidi Bel Abbes, Algeria; Universite Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algerie | ||