A Finite Element Approach for the Vibration of Single-Walled Carbon Nanotubes

2013 ◽  
pp. 139-146
Author(s):  
Seyyed Mohammad Hasheminia ◽  
Jalil Rezaeepazhand
Keyword(s):  
Carbon Nanotubes ◽  
Finite Element ◽  
Single Walled Carbon Nanotubes ◽  
Finite Element Approach ◽  
Single Walled Carbon ◽  
Element Approach ◽  
Walled Carbon Nanotubes

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 Vibrational Characteristics of Zigzag, Armchair and Chiral Cantilever Single-Walled Carbon Nanotubes

2013 ◽  
Vol 22 (6) ◽  
pp. 096369351302200
Author(s):  
S.K. Jalan ◽  
B. Nageswara Rao ◽  
S. Gopalakrishnan
Keyword(s):  
Carbon Nanotubes ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Single Walled Carbon Nanotubes ◽  
Finite Element Models ◽  
Element Analysis ◽  
Single Walled Carbon ◽  
Empirical Relations ◽  
Vibrational Characteristics ◽  
Walled Carbon Nanotubes

Finite element analysis has been performed to study vibrational characteristics of cantilever single walled carbon nanotubes. Finite element models are generated by specifying the C-C bond rigidities, which are estimated by equating energies from molecular mechanics and continuum mechanics. Bending, torsion, and axial modes are identified based on effective mass for armchair, zigzag and chiral cantilever single walled carbon nanotubes, whose Young's modulus is evaluated from the bending frequency. Empirical relations are provided for frequencies of bending, torsion, and axial modes.

scholarly journals Development of Empirical Relations for the Transversely Isotropic Properties of Zigzag, Armchair and Chiral Single-Walled Carbon Nanotubes

2012 ◽  
Vol 21 (4) ◽  
pp. 096369351202100 ◽  
Author(s):  
S.K. Jalan ◽  
B. Nageswara Rao ◽  
S. Gopalakrishnan
Keyword(s):  
Carbon Nanotubes ◽  
Finite Element ◽  
Transversely Isotropic ◽  
Single Walled Carbon Nanotubes ◽  
Element Analysis ◽  
Single Walled Carbon ◽  
Empirical Relations ◽  
Pure Extension ◽  
Walled Carbon Nanotubes ◽  
Walled Cylinder

Finite element analysis has been performed to evaluate transversely isotropic properties of the single walled carbon nanotubes (SWCNTs). Finite element models of SWCNTs are generated by specifying the C-C bond rigidities (which are arrived by equating the energies from molecular mechanics and continuum mechanics). The five independent transversely isotropic properties for different chiralities are evaluated using the stress fields of thick-walled cylinders and the elastic deformations of SWCNTs subjected to pure extension, internal pressure and pure torsion loads. The adequacy of the elastic properties is demonstrated through modelling of an equivalent overall orthotropic hollow thick-walled cylinder under different loading conditions. Empirical relations are provided for the five independent elastic constants useful for armchair, zigzag and chiral zigzag SWCNTs.

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