We studied the elastic properties of different carbon nanotubes (CNTs), i.e.,
pristine and defective single-wall (SWCNTs), double-wall (DWCNTs), and
multiwall (MWCNTs) for zigzag and armchair configurations. CNTs atomic
geometry was replicated with an equivalent space frame structure (SFS).
Coordinates definition of SFS of CNTs was developed in MATLAB code
and transferred to the finite element analysis (FEA) software ANSYS. The
basic entity of SFS, the C-C chemical bond, was designed as a circular beam
with orthotropic properties. The properties were determined by linking the
energy equation of molecular mechanics to structural mechanics along with a
parametric study. The van der Waals forces between intershells of DWCNTs and
MWCNTs were modeled as linear elastic springs in a simplified way. The
simplified model avoided the problems due to the nonlinear behavior of van der
Waals forces and improved the performance of the FEA software. The effect
of chirality, vacancy defects, different diameters, and number of walls on
the elastic properties of CNTs were calculated, tabulated, and compared
with each other. The result of the proposed SFS model with orthotropic
properties was compared with other’s results. The space frame structure
(SFS) model is found to be better than the equivalent shell model as the
defects can be placed at exact locations and a more realistic behavior can be
predicted. The SFS models can developed with any type of defect, any number of
walls, van der Waals force interactions, and agglomerated forms with variable
geometries. These models could be directly embedded in the matrix with a
designable interface region to predict tensile and torsional properties of future
nanocomposites.
Keywords
carbon nanotubes, numerical modeling, continuum Mechanics,
finite element analysis, properties