Scale effects on thermal buckling properties of carbon nanotube |
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Authors: | Yi-Ze Wang Feng-Ming Li Kikuo Kishimoto |
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Affiliation: | a P.O. Box 137, School of Astronautics, Harbin Institute of Technology, Harbin 150001, PR China b Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo 152-8552, Japan |
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Abstract: | In this Letter, the thermal buckling properties of carbon nanotube with small scale effects are studied. Based on the nonlocal continuum theory and the Timoshenko beam model, the governing equation is derived and the nondimensional critical buckling temperature is presented. The influences of the scale coefficients, the ratio of the length to the diameter, the transverse shear deformation and rotary inertia are discussed. It can be observed that the small scale effects are significant and should be considered for thermal analysis of carbon nanotube. The nondimensional critical buckling temperature becomes higher with the ratio of length to diameter increasing. Furthermore, for smaller ratios of the length to the diameter and higher mode numbers, the transverse shear deformation and rotary inertia have remarkable influences on the thermal buckling behaviors. |
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Keywords: | Carbon nanotube Scale effects Thermal buckling Nondimensional critical buckling temperature Timoshenko beam |
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