Zhang, Yu, Sansour, Carlo and Bingham, Chris
(2013)
Single-walled carbon nanotube modelling based on Cosserat surface theory.
In: 12th WSEAS International Conference on Applications of Electrical Engineering (AEE '13), January 30th - February 1st 2013, Cambridge, Mass..
Full content URL: http://www.wseas.us/e-library/conferences/2013/Cam...
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Item Type: | Conference or Workshop contribution (Paper) |
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Item Status: | Live Archive |
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Abstract
This paper studies the mechanical properties of single-walled carbon nanotubes (SWCNTs). In order to overcome the difficulty of spanning multi-scales from atomistic field to macroscopic space, the Cauchy-Born rule is applied to link the deformation of atom lattice vectors at the atomic level with the material deformation at a macro continuum level. SWCNTs are modelled as Cosserat surfaces, and the modified shell theory is adopted where a displacement field-independent rotation tensor is introduced, which describes the rotation of the inner structure of the surface, i.e. the micro-rotation. Empirical interatomic potentials are employed, so that the force and modulus fields can be computed by the derivations of potential forms from the displacement and rotation fields. A finite element approach is implemented. The Young’s modulus is predicted for SWCNTs in the paper.
Additional Information: | RECENT ADVANCES IN ELECTRICAL AND COMPUTER ENGINEERING Proceedings of the 12th WSEAS International Conference on Applications of Electrical Engineering (AEE '13). Cambridge, Ma, January 30th - February 1st 2013 |
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Keywords: | Single-walled carbon nanotube, Cauchy-Born rule, Cosserat surface, Empirical interatomic potential |
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Subjects: | H Engineering > H143 Structural Mechanics |
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Divisions: | College of Science > School of Engineering |
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Related URLs: | |
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ID Code: | 12550 |
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Deposited On: | 15 Nov 2013 11:01 |
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