Buckling analysis of a non-concentric double-walled carbon nanotube

• Published in: Acta mechanica Vol. 231; no. 12; pp. 5007 - 5020
• Main Authors: Malikan, Mohammad, Eremeyev, Victor A., Sedighi, Hamid M.
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01-12-2020; Springer; Springer Nature B.V
• Subjects: Classical and Continuum Physics; Control; Dynamical Systems; Eccentricity; Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics; Heat and Mass Transfer; Multi wall carbon nanotubes; Nanotubes; Original Paper; Solid Mechanics; Static stability; Theoretical and Applied Mechanics; Tubes; Vibration
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-020-02784-7

On the basis of a theoretical study, this research incorporates an eccentricity into a system of compressed double-walled carbon nanotubes (DWCNTs). In order to formulate the stability equations, a kinematic displacement with reference to the classical beam hypothesis is utilized. Furthermore, the influence of nanoscale size is taken into account with regard to the nonlocal approach of strain gradient, and the van der Waals interaction for both inner and outer tubes is also considered based on the Lennard–Jones model. Galerkin decomposition is employed to numerically deal with the governing equations. It is evidently demonstrated that the geometrical eccentricity remarkably affects the stability threshold and its impact is to increase the static stability of DWCNTs.