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On Applying the Shell Theory to Single Layer Graphitic Structures

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The validity of on applying the shell theory to single layer graphitic structures, such as buckball, single-walled carbon nanotube and so on is discussed by analyzing the results obtained from the first-principles calculations. It is shown that the classic shell theory based on 3-dimensional (3D) isotropic materials is inapplicable to describe the elasticity of the single layer graphitic structures, while a generalized shell theory based on 2D isotropic materials holds. The reasonable concepts in the elastic theory of single layer graphitic structures are rigidity coefficients rather than the Young's modulus and Poisson ratio.

Keywords: BUCKBALL; CARBON NANOTUBE; ELASTICITY; SHELL THEORY

Document Type: Research Article

Publication date: 01 June 2006

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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