The small internal length scales of nanomaterials/nano-devices may call the direct application of classical continuum models into question. In this research, a nonlocal elastic shell model, which takes the small scale effects into account, is developed to study the thermal buckling behavior of multi-walled carbon nanotubes. The multi-walled carbon nanotubes are considered as concentric thin shells coupled with the van der Waals forces between adjacent nanotubes. Closed form solutions are formulated for two types of thermal buckling of a double-walled carbon nanotube: Radial thermal buckling (as in a shell under external pressure) and axial thermal buckling. The effects of small scale effects are demonstrated, and a significant influence of internal characteristic parameters such as the length of the bond has been found on the thermal buckling critical temperature. The study interestingly shows that the axial buckling is not likely to happen, while the “radial” buckling may often take place when the carbon nano-tubes are subjected to thermal loading. Furthermore, a convenient method to determine the material constant, “” and the internal characteristic parameter, “,” is suggested.
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Thermal Buckling of Multi-Walled Carbon Nanotubes by Nonlocal Elasticity
Renfu Li,
Renfu Li
Post-Doctoral Fellow
Georgia Institute of Technology
, Atlanta, Georgia 30332-0150
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George A. Kardomateas
George A. Kardomateas
Professor of Aerospace Engineering
Fellow ASME
Georgia Institute of Technology
, Atlanta, Georgia 30332-0150
Search for other works by this author on:
Renfu Li
Post-Doctoral Fellow
Georgia Institute of Technology
, Atlanta, Georgia 30332-0150
George A. Kardomateas
Professor of Aerospace Engineering
Fellow ASME
Georgia Institute of Technology
, Atlanta, Georgia 30332-0150J. Appl. Mech. May 2007, 74(3): 399-405 (7 pages)
Published Online: March 15, 2006
Article history
Received:
August 31, 2005
Revised:
March 15, 2006
Citation
Li, R., and Kardomateas, G. A. (March 15, 2006). "Thermal Buckling of Multi-Walled Carbon Nanotubes by Nonlocal Elasticity." ASME. J. Appl. Mech. May 2007; 74(3): 399–405. https://doi.org/10.1115/1.2200656
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