Shear deformable deformation of carbon nanotubes based on a new analytical nonlocal Timoshenko beam nodel
- Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming 650051, Yunnan (China)
According to Hamilton’s principle, a new mathematical model and analytical solutions for nonlocal Timoshenko beam model (ANT) is established based on nonlocal elastic continuum theory when shear deformation and nonlocal effect are considered. The new ANT equilibrium equations and boundary conditions are derived for bending analysis of carbon nanotubes (CNTs) with simply supported, clamped and cantilever. The ANT deflection solutions demonstrate that the CNT stiffness is enhanced by the presence of nonlocal stress effects. Furthermore, the new ANT model concluded verifiable bending behaviors for a cantilever CNT with point load at the free end, which depends on the strength of nonlocal stress. Therefore, this new model will gives a better prediction for mechanical behaviors of nanostructures.
- OSTI ID:
- 22391090
- Journal Information:
- AIP Conference Proceedings, Vol. 1648, Issue 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Deformation of nanotubes in peeling contact with flat substrate: An in situ electron microscopy nanomechanical study
Application of bi-Helmholtz nonlocal elasticity and molecular simulations to the dynamical response of carbon nanotubes