Abstract

Theoretical studies are made for recent attention-getting super carbon nanotubes.The so-called ‘super carbon nanotube’ is a self-similar structure constructedfrom low-order carbon nanotubes. Based on the Euler beam theory, theequivalent parameters of super tubes are derived from those of arm tubes,and verified by finite element simulations. Instead of the Young’s modulusE, a new equivalentmodulus Eβ isadopted, where β is the ratio of thickness to diameter for arm tubes. The advantage of this equivalentmodulus is that the Young’s modulus and thickness do not need to be separated in stiffnesscalculations. The mechanical properties for composites made of super tubes and matrix arealso discussed.

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