Application of the Atomic-Scale Finite Element Method to Buckling and Post-Buckling of Single-Walled Carbon Nanotubes

2009 ◽  
Author(s):  
A.Y.T. Leung ◽  
X. Guo ◽  
X.Q. He ◽  
H. Jiang ◽  
S. Kitipornchai ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Carbon Nanotubes ◽  
Finite Element ◽  
Single Walled Carbon Nanotubes ◽  
Atomic Scale ◽  
Single Walled Carbon ◽  
Post Buckling ◽  
Walled Carbon Nanotubes ◽  
Element Method

The atomic-scale finite-element modelling of single-walled carbon nanotubes

2007 ◽  
Vol 221 (5) ◽  
pp. 613-617 ◽  
Author(s):  
H Ding ◽  
S-J Chen ◽  
K Cheng
Keyword(s):  
Carbon Nanotubes ◽  
Finite Element ◽  
Young’S Modulus ◽  
Wall Thickness ◽  
Young's Modulus ◽  
Single Walled Carbon Nanotubes ◽  
Atomic Scale ◽  
Single Walled Carbon ◽  
Beam Elements ◽  
Walled Carbon Nanotubes

In this paper, an atomic-scale finite-element (AFE) model is proposed for single-walled carbon nanotubes (SWCNTs), which are considered to behave like space-frame structures when subjected to loadings. To create the AFE models, three-dimensional beam elements are used to model the bonds between carbon atoms as loading-carrying elements, while the nodes are placed at the locations of carbon atoms to connect the loading-carrying elements. The material properties of beam elements can be determined by using a linkage between molecular and continuum mechanics. In order to evaluate the AFE model and its performance, the influence of tube wall thickness on Young's modulus of SWCNTs is investigated. It is found that the selection of wall thickness significantly affects the magnitude of the Young's modulus. For the values of wall thickness used in this study, the obtained values of Young's modulus agree well with the corresponding theoretical results. Furthermore, the results also illustrate that Young's modulus is inversely proportional to the wall thickness. The presented results demonstrate that the proposed AFE model can be used as a valuable tool for studying the mechanical behaviour of carbon nanotubes.

scholarly journals Estimation of Material Properties of Carbon Nanotubes Using Finite Element Method

2019 ◽  
Vol 69 (2) ◽  
pp. 7-14
Author(s):  
Bocko Jozef ◽  
Lengvarský Pavol ◽  
Pástor Miroslav
Keyword(s):  
Finite Element Method ◽  
Carbon Nanotubes ◽  
Finite Element ◽  
Material Properties ◽  
Single Walled Carbon Nanotubes ◽  
The Finite Element Method ◽  
Torsion Angles ◽  
Membrane Stiffness ◽  
Walled Carbon Nanotubes ◽  
Element Method

AbstractThe paper deals with estimation of material properties of single-walled carbon nanotubes (SWCNTs). The SWCNTs are simulated as frames, where carbon atoms are replaced by nodes and interatomic interactions are replaced by beams. The tension and torsion loading is applied on SWCNTs for determining the elastic modulus, Poisson’s ratio, shear modulus and membrane stiffness of SWCNTs. The simulations for obtaining elongations and torsion angles of SWCNTs are accomplished by the finite element method.

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