Evaluation of the Structural Properties of Single-Walled Carbon Nanotubes Using a Dynamic Continuum Modeling Method

Abstract

The structural properties of single-walled carbon nanotubes (SWCNTs) are evaluated by a new continuum modeling method, called the dynamic continuum modeling method (DCMM). In the DCMM, a repeating cell unit isolated from a SWCNT is represented as an equivalent continuum beam element by using the energy equivalence principle. The method may allow us to accomplish the static or dynamic analysis for SWCNTs without needing to assume their wall thickness. The structural rigidities of armchair SWCNTs evaluated by using the DCMM are within the range predicted by using the Young's moduli reported in existing references. It is also found that SWCNTs have quite high transverse shear rigidity, but with negligible coupling rigidities.

Keywords:

• carbon nanotubes
• structural properties
• dynamic continuum modeling method
• energy equivalence principle

ACKNOWLEDGMENT

This work was supported by an Inha University Research Grant.

Notes

* Values predicted by assuming the effective wall thickness h is 0.34 nm.

* Values predicted by assuming the effective wall thickness h is 0.34 nm.

*Values predicted by assuming the effective wall thickness h is 0.34 nm.

* Values predicted by assuming the effective wall thickness h is 0.34 nm.