Scale Coefficient, Length, Mode and Radius Effect on Critical Axial Compressed Buckling Load of Carbon Nanotubes via Nonlocal Continuum Model

Hong Liang Tian

doi:10.4028/www.scientific.net/AMR.629.296

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 629Scale Coefficient, Length, Mode and Radius Effect...

Scale Coefficient, Length, Mode and Radius Effect on Critical Axial Compressed Buckling Load of Carbon Nanotubes via Nonlocal Continuum Model

Abstract:

Some exact concise analytic solutions of critical axial compressed buckling load for carbon nanotubes are derived via nonlocal beam. Scale coefficient, length, mode and radius effect on nonlocal critical axial compressed buckling load of CNTs is established and can be analyzed in terms of the general solutions. Radius effect on nonlocal critical axial compressed buckling load is only found through nonlocal elastic shell model but not derived via nonlocal elastic beam model. Numerical calculations of CNTs show that local critical axial compressed buckling load through local elastic theory is overestimated. Scale coefficient, length, mode and radius effect should be taken into account in predicting more accurate results for mechanical behaviors of CNTs via continuum model.

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Periodical:

Advanced Materials Research (Volume 629)

Pages:

296-301

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.629.296

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Online since:

December 2012

Authors:

Hong Liang Tian

Keywords:

Carbon Nanotube (CN), Critical Compressed Load, Local Elastic Theory, Nonlocal Elastic Theory (NET), Scale Coefficient

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References

[1] Eringen A C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics, 1983, 54(9): 4703-4710.

DOI: 10.1063/1.332803

Google Scholar

[2] Eringen A C. On continuous distributions of dislocations in nonlocal elasticity. Journal of Applied Physics, 1984, 56(10): 2675-2680.

DOI: 10.1063/1.333787

Google Scholar

[3] Pisano A A, Fuschi P. Closed form solution for a nonlocal elastic bar in tension. International Journal of Solids and Structures, 2003, 40(1): 13-23.

DOI: 10.1016/s0020-7683(02)00547-4

Google Scholar

[4] Zhao Xuechuan, Lei Yongjun, Zhou Jianping. Strain analysis of nonlocal viscoelastic Kelvin bar in tension. Applied Mathematics and Mechanics, 2008, 29(1): 67-74.

DOI: 10.1007/s10483-008-0109-x

Google Scholar

[5] Wang Q, Varadan V K, Quek S T. Small scale effect on elastic bucking of carbon nanotubes with nonlocal continuum models. Physics Letters A, 2006, 357(2): 130-135.

DOI: 10.1016/j.physleta.2006.04.026

Google Scholar