Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/85675
Title: Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force
Authors: Mustapha, K. B.
Zhong, Z. W.
Issue Date: 2010
Source: Mustapha, K. B., & Zhong, Z. W. (2012). Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force. International Journal of Engineering Science, 50(1), 268-278.
Series/Report no.: International journal of engineering science
Abstract: Poorly designed structures buckle under the action of an unbearable axial force, self-weight or a combination of different axial forces. The increasing exploration of nanostructures for future devices dictates that the buckling of uniform single-walled carbon nanotubes (SWCNTs) and single-walled carbon nanocones (SWCNCs) should be well studied. Therefore in this paper, the investigation of the boundary value problems associated with the buckling of the SWCNTs and SWCNCs is carried out. The theoretical formulation of the mathematical model for these nanostructures is premised on the newly advanced nonlocal continuum theory. Predictions of the nN range critical loads of SWCNT and SWCNT under self-weight and an axial tip force are carried out with an optimized variant of the Galerkin method. The analysis reveals the degree of influence of the nonlocal parameter on the critical loads of the SWCNTs and the SWCNCs under different boundary conditions. A non-monotonically increasing trend is observed between the critical load values and increasing aspect ratio of the SWCNT. In the case of the SWCNC, the analysis reveals a positive linear relationship between the critical loads and the apex angles of the SWCNC. The apex angle also acts as a counterbalance to the small-scale coefficient.
URI: https://hdl.handle.net/10356/85675
http://hdl.handle.net/10220/11525
DOI: http://dx.doi.org/10.1016/j.ijengsci.2010.12.006
Rights: © 2010 Elsevier Ltd.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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