Investigation of the thermo-mechanical properties of single-walled carbon nanotubes based on the temperature-related higher order Cauchy–Born rule

2012 ◽  
Vol 51 (1) ◽  
pp. 445-454 ◽  
Author(s):  
Xu Guo ◽  
Jingbo Liao ◽  
Xiangyang Wang
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Single Walled Carbon Nanotubes ◽  
Higher Order ◽  
Born Rule ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes

Studies of Energy and Mechanical Properties of Single-Walled Carbon Nanotubes via Higher Order Cauchy Born Rule

2007 ◽  
Vol 121-123 ◽  
pp. 1029-1032
Author(s):  
J.B. Wang ◽  
X. Guo ◽  
Hong Wu Zhang
Keyword(s):  
Carbon Nanotubes ◽  
Continuum Theory ◽  
Single Walled Carbon Nanotubes ◽  
Higher Order ◽  
Interatomic Potentials ◽  
Born Rule ◽  
Graphite Sheet ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes ◽  
Brenner Potential

Based on the higher order Cauchy-Born rule, a nanoscale finite deformation continuum theory, which links interatomic potentials and atomic microstructure of carbon nanotubes to a constitutive model, is presented for analysis of the mechanics of carbon nanotubes. By using of Tersoff-Brenner potential with two sets of parameters, the energy and Young’s modulus of graphite sheet and single-walled carbon nanotubes are studied based on the theory presented. The findings are in good agreement with the existing experimental and theoretical results.

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