Abstract

Based on the van der Waals (vdW) interaction between carbon atoms, the interface cohesive energy between parallel single-walled carbon nanotubes was studied using continuous mechanics theory, and the influence of the diameter of carbon nanotubes and the distance between them on the cohesive energy was analyzed. The results show that the size has little effect on the cohesive energy between carbon nanotubes when the length of carbon nanotubes is over 10 nm. At the same time, we analyzed the cohesive energy between parallel carbon nanotubes with the molecular dynamics simulation method. The results of the two methods were compared and found to be very consistent. Based on the vdW interaction between parallel carbon nanotubes, the vibration characteristics of the two parallel carbon nanotube system were analyzed based on the continuous mechanical Euler-beam model. The effects of the vdW force between carbon nanotubes, the diameter and length of carbon nanotubes on the vibration frequency of carbon nanotubes was studied. The obtained results are helpful in improving the understanding of the vibration characteristics of carbon nanotubes and provide an important theoretical basis for their application.

Highlights

  • For small structures on the scale of nanometers, the intermolecular van der Waals interaction can play a leading role in some cases [1]

  • The existing research results show that in a micro system composed of carbon nanotubes (CNTs) bundles, the van der Waals interaction between adjacent carbon tubes has a great impact on the mechanical behavior of the system [10,11,12,13,14,15]

  • With the influence of finite size and boundary effects, the internal van der Waals (vdW) bonding energy has an important impact on the mechanical behavior of CNT bundle micro systems [16,17,18]

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Summary

Introduction

For small structures on the scale of nanometers, the intermolecular van der Waals (vdW) interaction can play a leading role in some cases [1] Since their discovery, carbon nanotubes (CNTs) have shown great application prospects in various fields with their excellent physical and mechanical properties [2,3,4,5]. With the influence of finite size and boundary effects, the internal vdW bonding energy has an important impact on the mechanical behavior of CNT bundle micro systems [16,17,18]. Based on the molecular mechanics model, Chang [18] proposed an anisotropic shell model to reveal the mechanical properties of CNTs, and studied the young’s modulus, Poisson’s ratio and radial breathing mode of single-walled CNTs, which laid a foundation for further study of the influence of the bonding energy between parallel carbon tubes on microsystems. CNTs is calculated, based on the continuous mechanics theory, and the vibration characteristics of a parallel single-walled bi-CNT system are analyzed

Quantification of the vdW Interaction between Carbon Atoms
Cohesive
Here The h is the inter-wall distance between two parallel
I 2equations
Continuum
I1 E2 I2 λ8n ρ21 S1 S2
The resonance frequency in Figure in
Vibration characteristic ofparallel the two parallel
Conclusions
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