Influence of nonlinear atomic interaction on excitation of intrinsic localized modes in carbon nanotubes

2010 ◽  
Vol 239 (8) ◽  
pp. 407-413 ◽  
Author(s):  
Takahiro Shimada ◽  
Daisuke Shirasaki ◽  
Yusuke Kinoshita ◽  
Yusuke Doi ◽  
Akihiro Nakatani ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Atomic Interaction ◽  
Localized Modes ◽  
Intrinsic Localized Modes

scholarly journals Selective excitations of intrinsic localized modes of atomic scales in carbon nanotubes

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Y. Kinoshita ◽  
Y. Yamayose ◽  
Y. Doi ◽  
A. Nakatani ◽  
T. Kitamura
Keyword(s):  
Carbon Nanotubes ◽  
Localized Modes ◽  
Intrinsic Localized Modes

Higher-Order Elasticity Constants of Carbon Nanotubes

2013 ◽  
Vol 815 ◽  
pp. 516-519
Author(s):  
Bin Gao ◽  
Yu Zhou Sun ◽  
Shen Li
Keyword(s):  
Carbon Nanotubes ◽  
Cylindrical Tube ◽  
Higher Order ◽  
Constitutive Relationship ◽  
Atomic Interaction ◽  
Thin Wall ◽  
Single Walled Carbon Nanotube ◽  
Theoretical Scheme ◽  
Representative Cell ◽  
Brenner Potential

In this paper, the higher-order elasticity constants are evaluated in the theoretical scheme of higher-order continuum. A single-walled carbon nanotube is treated as a higher-order continuum cylindrical tube with a thin wall, and the representative cell is chosen as a triangle unit that contains four carbon atoms. The Brenner potential is employed to describe the C-C atomic interaction, and the higher-order constitutive relationship is derived by virtue of the higher-order Cauchy-Born rule. The higher-order elasticity constants of carbon nanotubes are evaluated based on the derived higher-order constitutive model, which can provide a foundation for the further analysis of the mechanical properties of carbon nanotubes in the theoretical scheme of higher-order continuum.

scholarly journals Multiple states of intrinsic localized modes

1998 ◽  
Vol 58 (9) ◽  
pp. 5423-5428 ◽  
Author(s):  
Yuri S. Kivshar ◽  
Alan R. Champneys ◽  
David Cai ◽  
Alan R. Bishop
Keyword(s):  
Localized Modes ◽  
Intrinsic Localized Modes
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