scholarly journals Finite element analysis of single-walled carbon nanotubes based on a rod model including in-plane cross-sectional deformation

2013 ◽  
Vol 50 (1) ◽  
pp. 49-56 ◽  
Author(s):  
Chao Fang ◽  
Ajeet Kumar ◽  
Subrata Mukherjee
Keyword(s):  
Carbon Nanotubes ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Single Walled Carbon Nanotubes ◽  
Element Analysis ◽  
Cross Sectional ◽  
Single Walled Carbon ◽  
Rod Model ◽  
Walled Carbon Nanotubes

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.

scholarly journals Simulation Studies on Structural Behaviour of Single-Walled Carbon Nanotubes - using Finite Element Analysis Technique

2011 ◽  
Vol 8 (1) ◽  
pp. 173-180
Author(s):  
Ratnakar Pandu ◽  
Chidanandappa Chidanandappa ◽  
N. C. S Reddy
Keyword(s):  
Carbon Nanotubes ◽  
Finite Element ◽  
Single Walled Carbon Nanotubes ◽  
Mode Shapes ◽  
Structural Behaviour ◽  
Element Analysis ◽  
Single Walled Carbon ◽  
Analysis Technique ◽  
Bending Loads ◽  
Walled Carbon Nanotubes

In this present paper, an FE approach has been presented for the elastic bending and buckling behaviors of single-walled carbon nanotubes (SWCNTs). Finite element simulations are carried out to investigate the bending deformations and buckling behaviors of SWCNTs under various conditions. Both axial compression and bending loading conditions are considered. The computed results for SWCNTs agree well with atomistic simulations in the literature and the FE approach is confirmed successfully. In this paper, the steady state structural analysis has been performed to know the strength of the CNTs using shell93 element. For analysis of SWCNT has been considered as cantilever beam and loaded at the free end. SWCNTs with different lengths, different thicknesses under various materials and loadings have been studied. In static analysis, the defections and stress induced are estimated due to axial and bending loads. Under buckling analysis, the buckling factors and corresponding mode shapes are plotted. The displacement response is plotted and reported.

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