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TABLE 9.2
Continuum Simulation Methods for Prediction Young' Modulus of CNT
Young's
modulus
(TPa)
Researchers
Year
Method
Results
Results of the molecular-
mechanics simulations of
a SWNT is used to derive
the thickness and values of
the two elastic modulus of
an isotropic linear elastic
cylindrical tube equivalent to
the SWNT
Sears and
Batra [7]
Equivalent con-
tinuum tube
2004
2.52
0.2-0.8
for zigzags
0.57-0.54
for arm-
chairs
Stretching and
rotating springs,
equivalent con-
tinuum plate
Effective in-plane stiff-
ness and bending rigidity of
SWCNTs
Wang [8]
2004
Asymptotic
homogeniza-
tion, cylindrical
network shell
Kalamkarov
et al. [9]
Young's modulus of SW-
CNTs
2006
1.71
Predicting Young's modu-
lus of SWCNTs b equating
frequencies of axial and tor-
sional modes of vibration of
the ECS to those of SWCNT
computed through numerical
simulations using the MM3
potential
Gupta and
Batra [10]
Equivalent con-
tinuum structure
0.964 ±
0.035
2008
Young's and Shear modulus
of SWCNTs using three
dimensional spring-like ele-
ments
Giannopou-
los et al. [11]
FEM, spring ele-
ments
2008
1.2478
3D FE analysis, assuming a
linear behavior of the C-C
bonds
Papanikos et
al. [12]-
2008
3-D beam element
0.4-2.08
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