Nonlocal continuum theories of beams for the analysis of carbon nanotubes

2008 ◽  
Vol 103 (2) ◽  
pp. 023511 ◽  
Author(s):  
J. N. Reddy ◽  
S. D. Pang
Keyword(s):  
Carbon Nanotubes ◽  
Nonlocal Continuum ◽  
Continuum Theories

Buckling analysis of carbon nanotubes modeled using nonlocal continuum theories

2008 ◽  
Vol 103 (7) ◽  
pp. 073521 ◽  
Author(s):  
Devesh Kumar ◽  
Christian Heinrich ◽  
Anthony M. Waas
Keyword(s):  
Carbon Nanotubes ◽  
Buckling Analysis ◽  
Nonlocal Continuum ◽  
Continuum Theories

Variational Principles for the Stability Analysis of Multi-Walled Carbon Nanotubes Based on a Nonlocal Elastic Shell Model

2010 ◽  
Author(s):  
Mohsen Asghari ◽  
Jacob Rafati
Keyword(s):  
Carbon Nanotubes ◽  
Stability Analysis ◽  
Inverse Method ◽  
Variational Principles ◽  
Elastic Shell ◽  
Multi Walled Carbon Nanotubes ◽  
Natural Boundary Conditions ◽  
The Stability ◽  
Walled Carbon Nanotubes ◽  
Continuum Theories

The nonlocal continuum theories are capable to reflect the small length characteristic of nanostructures. In this work, variational principles are presented for the stability analysis of multi-walled carbon nanotubes under various mechanical loadings based on the nonlocal elastic Donnell’s shell by the semi-inverse method. In this manner, a set of proper essential and natural boundary conditions for each layer of the multi-walled nanotube is derived.

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