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Development of an equation to predict radial modulus of elasticity for single-walled carbon nanotubes

Sakhaee Pour, A ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1243/09544062JMES751
  3. Publisher: 2008
  4. Abstract:
  5. Finite element (FE) method is used to model radial deformation of single-walled carbon nanotube (SWCNT) under hydrostatic pressure. Elastic deformation of the nanostructure is simulated via elastic beams. Properties of the beam element are calculated by considering the stiffness of the covalent bonds between the carbon atoms in the hexagonal lattice. By applying the beam elements in a three-dimensional space, elastic properties of the SWCNT in transverse direction are obtained. In this regard, influences of diameter and tube wall thickness on the radial and circumferential elastic moduli of zigzag and armchair SWCNTs are considered. It is observed that there is a good agreement between the FE results and data available in the literatures. The FE data are employed to develop a predictive equation through a statistical non-linear regression model. © IMechE 2008
  6. Keywords:
  7. Carbon ; Deformation ; Elastic moduli ; Elasticity ; Finite element method ; Fluid mechanics ; Food processing ; Hydrostatic pressure ; Linear equations ; Linear regression ; Nanocomposites ; Nanopores ; Nanostructured materials ; Nanostructures ; Nanotechnology ; Nanotubes ; Regression analysis ; Single-walled carbon nanotubes (SWCN) ; Three dimensional ; Beam elements ; Carbon atoms ; Elastic beams ; Elastic properties ; Finite element ; Hexagonal lattices ; Mechanical properties ; Modulus of elasticity ; Nano structuring ; Non linear regression models ; Predictive equations ; Radial deformation ; Single-walled carbon nanotube ; Single-walled carbon nanotubes ; Three-dimensional space ; Transverse direction ; Tube walls ; Carbon nanotubes
  8. Source: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science ; Volume 222, Issue 6 , 2008 , Pages 1109-1115 ; 09544062 (ISSN)
  9. URL: https://journals.sagepub.com/doi/abs/10.1243/09544062JMES751?journalCode=picb