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Computational continuum modelling to analysis the dynamic and static stability of a cantilever nano-scale system

  • Jiangjiang, Li (Social Science Foundation Department, Zhejiang College of Security Technology)
  • Received : 2022.12.11
  • Accepted : 2023.01.25
  • Published : 2023.01.25
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Abstract

Calculating size-dependent mechanical properties of the nano-scale materials usually involves cumbersome numerical and theoretical works. In this paper, we aim to present a closed-form relation to calculate the length-dependent Young's modulus of carbon nanotubes (CNTs) based on nonlocal elasticity theory. In this regard, a single wall carbon nanotube (SWCNT) is considered as a rod structure and the governing nonlocal equations are developed under uniaxial tensile load. The equations are solved using analytical methods and strain distribution, total displacement and the size-dependent equivalent Young's modulus are obtained. Further, the results are compared with the molecular dynamics results from the literature. The outcome indicates that the calculated relations are coincident with the molecular dynamics results.

Keywords

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