Nonlinear-elastic membrane-shell model for single-walled carbon nanotubes under uni-axial deformation

2015 ◽  
Vol 97 ◽  
pp. 237-244 ◽  
Author(s):  
A.N. Roy Chowdhury ◽  
S.J.A. Koh ◽  
C.M. Wang
Keyword(s):  
Carbon Nanotubes ◽  
Shell Model ◽  
Single Walled Carbon Nanotubes ◽  
Elastic Membrane ◽  
Axial Deformation ◽  
Single Walled Carbon ◽  
Membrane Shell ◽  
Nonlinear Elastic ◽  
Walled Carbon Nanotubes

Mechanical Properties of Single-Walled Carbon Nanotubes under Large Axial Deformation

2010 ◽  
Vol 97-101 ◽  
pp. 3910-3915
Author(s):  
Kun Cai
Keyword(s):  
Carbon Nanotubes ◽  
Axial Strain ◽  
Single Walled Carbon Nanotubes ◽  
Mapping Method ◽  
Axial Deformation ◽  
Engineering Strain ◽  
Single Walled Carbon ◽  
Graphitic Sheet ◽  
Zigzag Pattern ◽  
Walled Carbon Nanotubes

The deformation of single-walled carbon nanotubes (SWCNTs) under large axial strain is studied by a geometrical mapping method. The interactions between atoms in carbon nanotubes (CNTs) are described by Tersoff-Brenner potential. Results show the strain energy depends on chirality but hardly on tubes’ radii. For graphitic sheet under large axial deformation, the elastic moduli decrease with the increase of engineering strain under tension. The modulus reaches the peak value as the axial engineering strain reaches -0.08 for armchair pattern and -0.15 for zigzag pattern under compression.

Continuum Shell Model for Buckling of Single-Walled Carbon Nanotubes with Different Chiral Angles

2014 ◽  
Vol 14 (04) ◽  
pp. 1450006 ◽  
Author(s):  
Amar Nath Roy Chowdhury ◽  
Chien Ming Wang ◽  
Soo Jin Adrian Koh
Keyword(s):  
Carbon Nanotubes ◽  
Cylindrical Shell ◽  
Shell Model ◽  
Poisson Ratio ◽  
Single Walled Carbon Nanotubes ◽  
Md Simulations ◽  
Chiral Angle ◽  
Buckling Loads ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes

In this paper, an equivalent thick cylindrical shell model is proposed for the buckling analysis of short single-walled carbon nanotubes (SWCNTs) with allowance for different chiral angles. Extensive, molecular dynamics (MD) simulations are first performed using the adaptive intermolecular reactive bond order potential to determine the critical buckling loads/strains. The MD simulations buckling results are then used as reference solutions to calibrate the properties of the thick cylindrical shell model. Central to this development is the establishment of an empirical expression for the Young's modulus that is a function of both the diameter and the chiral angle of the SWCNT. For the shell model, we have assumed that the Poisson ratio ν = 0.19 and the shell thickness h = 0.066 nm . It will be shown that the proposed shell model furnishes good estimates of the critical buckling loads for SWCNTs with different chiral angles. The critical buckling strains are also evaluated from the critical buckling load with the aid of the stress–strain relation of SWCNTs.

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