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TECHNICAL PAPERS

Applicability and Limitations of Simplified Elastic Shell Equations for Carbon Nanotubes

[+] Author and Article Information
C. Y. Wang, C. Q. Ru, A. Mioduchowski

Department of Mechanical Engineering, University of Alberta, Edmonton T6G 2G8, Canada

J. Appl. Mech 71(5), 622-631 (Nov 09, 2004) (10 pages) doi:10.1115/1.1778415 History: Received May 28, 2003; Revised March 16, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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References

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Figures

Grahic Jump Location
The buckling strain given by Donnell model (I) for the SWNT of radius 0.65 nm under axial compression
Grahic Jump Location
The buckling strain given by simplified Flugge model (II) for the SWNT of radius 0.65 nm under axial compression
Grahic Jump Location
The buckling strain given by exact Flugge model (III) for the SWNT of radius 0.65 nm under axial compression
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The buckling pressure given by exact Flugge model (III) for the SWNT of radius 0.65 nm under radial pressure
Grahic Jump Location
The relative error of buckling pressure predicted by Donnell model (I) for the SWNT of radius 0.65 nm under radial pressure
Grahic Jump Location
The relative error of buckling pressure predicted by simplified Flugge model (II) for the SWNT of radius 0.65 nm under radial pressure
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Frequencies of radial breathing vibration predicted by elastic shell models and MD simulation for DWNTs of various outer radii
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Frequencies of radial breathing vibration predicted by elastic shell models and MD simulation for three-wall CNTs of various outermost radii
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Frequencies of radial breathing vibration predicted by the elastic shell models for MWNTs of the innermost radius 1 nm
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Dependence of the breathing mode frequencies of a DWNT of inner radius 1.36 nm and a three-wall CNT of innermost radius 1.02 nm on the vdW interaction coefficient
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The frequency of radial vibration given by exact Flugge model (III) for the SWNT of radius 0.65 nm
Grahic Jump Location
The relative error of radial vibration frequency predicted by Donnell model (I) for the SWNT of radius 0.65 nm
Grahic Jump Location
The relative error of radial vibration frequency predicted by simplified Flugge model (II) for the SWNT of radius 0.65 nm
Grahic Jump Location
The frequency of radial vibration given by exact Flugge model (III) for the SWNT of radius 5 nm
Grahic Jump Location
The relative error of radial vibration frequency predicted by Donnell model (I) for the SWNT of radius 5 nm
Grahic Jump Location
The relative error of radial vibration frequency predicted by simplified Flugge model (II) for the SWNT of radius 5 nm
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The vibration frequencies given by three shell models for the SWNT of radius 5 nm
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Comparison of beam-like vibrational frequencies given by different models for SWNT of radius 0.65 nm

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