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Dual ideal shear strengths for chiral single-walled carbon nanotubes

Delfani, M. R ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijnonlinmec.2019.103382
  3. Publisher: Elsevier Ltd , 2020
  4. Abstract:
  5. By considering a single-walled carbon nanotube (SWCNT) as a two-dimensional elastica obtained from the roll-up of a graphene sheet into a circular tube, the present paper develops a precise well-posed continuum theory for describing the entire torsional behavior of SWCNTs from an initial unloaded state through their ultimate levels of loading. In addition, the proposed approach can capture the dual ideal shear strengths as well as the asymmetrical behavior of chiral tubes with respect to the direction of the applied torsional loading. The theory incorporates a highly nonlinear constitutive equation which provides information about the nanoscopic morphological parameters of the tubes. As it will be shown, the longitudinal and twist deformations are coupled. Accordingly, a parameter referred to as the torsion-induced extension will be defined. © 2019 Elsevier Ltd
  6. Keywords:
  7. Dual ideal shear strengths ; Single-walled carbon nanotube ; Torsion-induced extension ; Two-dimensional elastica ; Continuum mechanics ; Graphene ; Nanotubes ; Nonlinear equations ; Torsional stress ; Elastica ; Ideal shear strength ; Morphological parameters ; Nonlinear constitutive equations ; Singlewalled carbon nanotube (SWCNT) ; Torsional behaviors ; Torsional loadings ; Twist deformations ; Single-walled carbon nanotubes (SWCN)
  8. Source: International Journal of Non-Linear Mechanics ; Volume 120 , 2020
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0020746219303622#!