Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force
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 car...
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sg-ntu-dr.10356-856752020-03-07T13:19:25Z Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force Mustapha, K. B. Zhong, Z. W. School of Mechanical and Aerospace Engineering 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. 2013-07-16T03:25:27Z 2019-12-06T16:08:10Z 2013-07-16T03:25:27Z 2019-12-06T16:08:10Z 2010 2010 Journal Article 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. https://hdl.handle.net/10356/85675 http://hdl.handle.net/10220/11525 10.1016/j.ijengsci.2010.12.006 en International journal of engineering science © 2010 Elsevier Ltd. |
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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. |
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School of Mechanical and Aerospace Engineering |
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School of Mechanical and Aerospace Engineering Mustapha, K. B. Zhong, Z. W. |
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Mustapha, K. B. Zhong, Z. W. |
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Mustapha, K. B. Zhong, Z. W. Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force |
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Mustapha, K. B. |
title |
Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force |
title_short |
Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force |
title_full |
Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force |
title_fullStr |
Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force |
title_full_unstemmed |
Stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force |
title_sort |
stability of single-walled carbon nanotubes and single-walled carbon nanocones under self-weight and an axial tip force |
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2013 |
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https://hdl.handle.net/10356/85675 http://hdl.handle.net/10220/11525 |
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