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is incapable to capture the length dependent critical strains for CNTs with
small aspect ratios (i.e., L/d < 8). On the other hand, Sanders shell theory
is accurate in predicting buckling strains and mode shapes of axially com-
pressed CNTs with small aspect ratios. From the dynamic analysis point of
view, the replacement of CNT with a hollow cylinder has to be extremely
avoided, despite the widely employed method. In other word, replacing
CNT with a hollow cylinder will not only lead us to inaccurate results,
but also there will not be any difference between and nanostructure in the
form of tube with continuum level of modeling. It is a great importance
to keep the lattice structure of the CNT in the modeling, since the discrete
structure of CNT play an important role in the dynamic analysis. From the
vibration point of view, MD simulations are more reliable and NCM ap-
proaches are preferred to CM techniques using beam elements.
KEYWORDS
•
Carbon nanotubes (CNT)
•
Computational chemistry
•
Computational mechanics
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