American Institute of Aeronautics and Astronautics
1
Atomistic Simulation of Carbon Nanotubes with Defects
Antonio F. Ávila
*
, Guilherme R.S. Lacerda
†
Universidade Federal de Minas Gerais, Belo Horizonte, Minas Gerais, 31270-901, Brazil
During carbon nanotubes synthesis a large amount of “defected” ones are generated. The purification process
involves, in general, high costs. The market price of single walled carbon nanotubes (SWNT) with 99,999%
purity is close to US$500,00/gram. To be able to use these defective nanotubes as reinforcements for
composites, their mechanical properties must be known. Considerable work has been done by Gates and his
co-workers into the field of carbon nanotubes and composites reinforced by carbon nanotubes. However, the
characterization of defective carbon nanotubes, also called hetero-junctions, is still an open question. Notice
that hetero-junction properties can have large variations, as those are dependent on the SWNT
configurations. The so called molecular mechanics model is employed to investigate two defects
configurations, i.e. Dunlap and Sadoc, and their stress concentration regions are located. These regions are
the ones with the highest probability of failure. The model is validated against data from literature on non-
defective single walled carbon nanotubes with good agreement.
I. Introduction
s described by Saito and his co-workers
1
, carbon nanotube is a honeycomb lattice rolled into a cylinder.
Carbon nanotubes (CNTs) have been the center of many researches due to their dimensions and remarkable
electro-mechanical properties. In general, a CNT diameter has a nanometer size and its length can be more
than 1µm. Such large aspect ratio (length/diameter) is appointed as one of the reasons for the CNTs notable
properties. Consistent with Kalamkarov et al.
2
, single-walled nanotubes (SWNTs) have predicted specific strength
around 600 times larger than steel. Another important issue of CNTs is their remarkable thermal and electrical
properties. They are thermally stable up to 2800 C (in vacuum), reveal a thermal conductivity about twice as high as
diamond, and may exhibit a capacity to carry electric current a thousand times better than copper wires.
CNT capabilities have been observed experimentally and verified by numerical simulations. Frankland et al.
3
, Jin
and Yuan
4
and Agrawal et al.
5
are among those researchers whom employed molecular dynamics for analyzing
carbon nanotubes. The atomistic simulation approach was applied by Belystchko et al.
6
, Lurie et al.
7
, Gates and co-
workers
8
while the nano-mechanics modeling was described by Liu et al.
9
, Ruoff and Pugno
10
, and Li and Chou
11
.
Although carbon nanotubes have tremendous potential applications in a large variety of usages, e.g. aerospace
industry, medical and electronic devices, there is no consensus about their exact mechanical properties. The
experiments performed up to now have presented large variability due to the inherent complexity of manipulating
these materials. Furthermore, the traditional molecular dynamics (MD) simulations are limited and computationally
expensive.
In this paper, the concept of molecular structural mechanics described by Li and Chou
11
and Tserpes and
Papanikos
12
, and extended by Ávila and Lacerda
13
is associated to the three-dimensional finite element model and
later on employed to predict the mechanical properties of defective Single-Walled Carbon Nanotubes (SWNTs),also
described as hetero-junctions. Numerical simulations considering the three major configurations (armchair, zigzag
and chiral) are prepared for validation purposes. Furthermore, a parametric study on wall thickness, diameter and
chirality effects on stiffness is also performed. Finally, the Sadoc and Dunlap hetero-junctions are simulated to be
able to identify regions with the highest probability of failure.
II. Up to the date research
According to Torrones
14
, in 1991 Iijima using a high resolution transmission electron microscope and electron
diffraction, reported the existence of helical carbon microtubules (now called nanotubes) consisting of nested
graphene tubules . This material was generated in an arc-discharge fullerene reactor (operating at low direct current).
*
Associate Professor, Department of Mechanical Engineering, 6627 Antonio Carlos Avenue, AIAA Senior Member.
Corresponding author, e-mail: aavila@netuno.lcc.ufmg.br , phone: +55 31 3409-5238, FAX:+55 31 3443-3783
†
Graduate Research Assistant, Department of Mechanical Engineering, 6627 Antonio Carlos Avenue.
A
50th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference <br>17th
4 - 7 May 2009, Palm Springs, California
AIAA 2009-2490
Copyright © 2009 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.