Open AccessBernoulli-Euler beam theory of single-walled carbon nanotubes based on nonlinear stress-strain relationship
Author(s) -
Kun Huang,
Xin Cai,
Mingguang Wang
Publication year - 2020
Publication title -
materials research express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.383
H-Index - 35
ISSN - 2053-1591
DOI - 10.1088/2053-1591/abce86
Subject(s) - carbon nanotube , materials science , graphene , nonlinear system , beam (structure) , stress (linguistics) , timoshenko beam theory , bending , bernoulli's principle , composite material , stress–strain curve , nanotechnology , structural engineering , physics , thermodynamics , deformation (meteorology) , linguistics , philosophy , quantum mechanics , engineering
Recent experiments and density functional tight-binding (DFTB) calculations indicated the nonlinear elastic properties of graphene. However, this nonlinear stress-strain relationship has not been applied to the carbon nanotubes (CNTs) that can be viewed as graphene sheets that have been rolled tubes. In this paper, using the nonlinear stress-strain relationship of graphene, a new Bernoulli-Euler beam model of single-walled carbon nanotubes (SWCNTs) is presented for the first time. The static bending and the first-order mode forced vibrations of SWCNTs are investigated according to the new model. The results indicate that the nonlinear stress-strain relationship has a significant influence on the mechanical properties of SWCNTs.