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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

Figures

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The buckling strain given by Donnell model (I) for the SWNT of radius 0.65 nm under axial compression
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The buckling strain given by simplified Flugge model (II) for the SWNT of radius 0.65 nm under axial compression
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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
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The relative error of buckling pressure predicted by Donnell model (I) for the SWNT of radius 0.65 nm under radial pressure
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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
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The relative error of radial vibration frequency predicted by Donnell model (I) for the SWNT of radius 0.65 nm
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The relative error of radial vibration frequency predicted by simplified Flugge model (II) for the SWNT of radius 0.65 nm
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The frequency of radial vibration given by exact Flugge model (III) for the SWNT of radius 5 nm
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The relative error of radial vibration frequency predicted by Donnell model (I) for the SWNT of radius 5 nm
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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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