Examination of cylindrical shell theories for buckling of carbon nanotubes

Wang, C. M., Tay, Z. Y., Chowdhuary, A. N. R., Duan, W. H., Zhang, Y. Y. and Silvestre, N. (2011) Examination of cylindrical shell theories for buckling of carbon nanotubes. International Journal of Structural Stability and Dynamics, 11 6: 1035-1058. doi:10.1142/S0219455411004464


Author Wang, C. M.
Tay, Z. Y.
Chowdhuary, A. N. R.
Duan, W. H.
Zhang, Y. Y.
Silvestre, N.
Title Examination of cylindrical shell theories for buckling of carbon nanotubes
Journal name International Journal of Structural Stability and Dynamics   Check publisher's open access policy
ISSN 0219-4554
Publication date 2011-01-01
Year available 2011
Sub-type Article (original research)
DOI 10.1142/S0219455411004464
Open Access Status Not yet assessed
Volume 11
Issue 6
Start page 1035
End page 1058
Total pages 24
Publisher WORLD SCIENTIFIC PUBL CO PTE LTD
Language eng
Abstract This paper examines the validity and accuracy of cylindrical shell theories in predicting the critical buckling strains of axially loaded single-walled carbon nanotubes (CNTs). The shell theories considered are the Donnell thin shell theory (DST), the Sanders thin shell theory (SST), and the first-order shear deformation (thick) shell theory (FSDST). Molecular dynamic (MD) simulation solutions for armchair and zig-zag CNTs with clamped ends were used as reference results to assess the shell models. The MD simulations were carried out at room temperature to eliminate the thermal effect on the buckling behavior. By adopting Young's modulus of 5.5 TPa, Poisson's ratio of 0.19, and tube thickness of 0.066 nm, it was found that DST is not able to capture the length dependency of the critical buckling strains and thus it should not be used for buckling analysis of CNTs. On the other hand, SST and FSDST are able to predict the critical buckling strains of armchair and zig-zag CNTs reasonably well for all aspect ratios, especially the results produced by the FSDST are found to be closer to the MD simulation results, because it allows for the effect of transverse shear deformation that becomes significant for CNTs with small aspect ratios. Thus, FSDST is recommended as a very suitable and convenient continuum mechanics model for buckling analysis of CNTs. The superior FSDST model is used to generate critical buckling strains of axially loaded single-walled CNT with different boundary conditions. These results should be useful for designers of nanodevices that make use of CNTs as axially loaded members. It is worth noting that for long and moderately long CNTs, the Timoshenko beam model may be used instead due to its simplicity.
Keyword buckling
Carbon nanotubes
Donnell thin shell theory
first-order shear deformation shell theory
Sanders thin shell theory
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mechanical & Mining Engineering Publications
 
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