Stability Analysis of Arch Shape Carbon Nanotubes Modeled by Nonlocal Elasticity Theory

作者：Taghavi Nazita; Nahvi Hassan^*

来源：Journal of Computational and Theoretical Nanoscience, 2013, 10(3): 719-727.

DOI：10.1166/jctn.2013.2761

• Structural Stability
• Snap-Through
• Bifurcation
• Nonlocal Elasticity
• Carbon Nanotube (CNT)
• Size Effects

In this article, bifurcation buckling and snap-through stability phenomena of carbon nanotubes, having a slight curvature, are investigated. Carbon nanotubes are modeled as shallow arches. Using nonlocal elasticity theory, the effect of small-length scale on the buckling of carbon nanotubes is taken into account. To obtain the critical buckling loads of a sinusoidal shallow arch with pinned ends resting on a Winkler foundation, the governing equations are derived and solved analytically. The possibility of bifurcation buckling and snap-through phenomena of both the nonlocal and the classical models are studied and compared. It is found that the small-length scale plays a significant role in the phenomenon of snap-through and bifurcation buckling, as well as the magnitude of the critical buckling loads of the arch shape carbon nanotubes.

• 出版日期2013-3