Mechanical Properties of Carbon Nanotubes

2002 ◽  
Author(s):  
Xuekun Sun ◽  
Youqi Wang
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Finite Element ◽  
Cell Isolation ◽  
Unit Cell ◽  
Poisson's Ratio ◽  
Finite Element Approach ◽  
Nano Scale ◽  
Element Approach ◽  
Longitudinal Modulus

Nano-scale finite element approach was used to predict the mechanical properties of carbon nanotubes. The unit-cell isolation scheme was same as that from Eric Seather [1], and nothing was assumed to exist inside any nanotube. Arm-chair, zigzag and chiral type of nanotubes with different radii were discussed in detail. The longitudinal modulus of nanotubes Ez was found to decrease with increasing nanotube radius, but to be independent of nanotube helicity. The modulus was not over 0.5 TPa for any case. Meanwhile, Poisson’s ratio νzθ was also predicted.

Mechanical Properties of Single-Walled Carbon Nanotubes - A Finite Element Approach

2008 ◽  
Vol 33-37 ◽  
pp. 937-942 ◽  
Author(s):  
Cheng Wen Fan ◽  
Jhih Hua Huang ◽  
Chyan Bin Hwu ◽  
Yu Yang Liu
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Finite Element ◽  
Circular Cross Section ◽  
Single Walled Carbon Nanotubes ◽  
Finite Element Approach ◽  
Single Walled Carbon ◽  
Carbon Bonds ◽  
Element Approach ◽  
Walled Carbon Nanotubes

In this paper, the mechanical properties, such as the axial and radial Young’s moduli, shear moduli, buckling loads and natural frequencies, of single-walled carbon nanotubes, are estimated by a finite element approach. Each carbon nanotube is simulated as a frame-like structure and the primary bonds between two nearest-neighboring atoms are treated as isotropic beam members with a uniform circular cross-section. In the modeling work, the BEAM4 element in commercial code ANSYS is selected to simulate the carbon bonds and the atoms are nodes. As to the input parameters of the BEAM4 element, they are determined via the concept of energy equivalence between molecular dynamics and structural mechanics, and represented in terms of the force constants of the carbon bonds found in molecular mechanics. Based on this modeling concept, finite element models of both armchair and zigzag types of carbon nanotubes with different sizes are established and the mechanical properties of these tubes are then effectively predicted. Most of the computed results which can be compared with existing results show good agreement. Moreover, the effects of tube diameter, length etc., on the mechanical properties are also investigated.

scholarly journals Mechanical Properties of Group Iv Single-walled Nanotubes: A Finite Element Approach Based on the Density Functional Theory

2021 ◽  
Author(s):  
Mohammad Dastmard ◽  
Reza Ansari ◽  
Saeed Rouhi
Keyword(s):  
Mechanical Properties ◽  
Density Functional Theory ◽  
Finite Element ◽  
Density Functional ◽  
Element Model ◽  
Group Iv ◽  
Functional Theory ◽  
Finite Element Approach ◽  
The Density Functional Theory ◽  
Element Approach

Abstract In this article, the density functional theory is applied to investigate the mechanical properties of single-walled nanotubes of group IV of periodic table including carbon nanotube, silicon nanotube, germanium nanotube and stanene nanotube. (10,10) armchair nanotube is selected for the investigation. By establishing a link between potential energy expressions in the molecular and structural mechanics, a finite element approach is proposed for modeling the nanotubes. In the proposed model, the nanotubes are considered as an assemblage of beam elements. Young’s modulus of the nanotubes is computed by the proposed finite element model. Young's modulus of carbon, silicon, germanium, and tin nanotubes are obtained as 1029, 159.82, 83.23 and 18.15 GPa respectively, using the density functional theory. Also, the finite element approach gives the values as 1090, 154.67, 85.2 and 82.6 GPa respectively. It is shown that the finite element model can predict the results of the density functional theory with a good accuracy.

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