skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Shear deformable deformation of carbon nanotubes based on a new analytical nonlocal Timoshenko beam nodel

Abstract

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.

Authors:
;  [1]
  1. Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming 650051, Yunnan (China)
Publication Date:
OSTI Identifier:
22391090
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; BENDING; BOUNDARY CONDITIONS; CARBON NANOTUBES; FLEXIBILITY; MATHEMATICAL MODELS; SHEAR; STRESSES

Citation Formats

Zhang, Jianming, and Yang, Yang. Shear deformable deformation of carbon nanotubes based on a new analytical nonlocal Timoshenko beam nodel. United States: N. p., 2015. Web. doi:10.1063/1.4912677.
Zhang, Jianming, & Yang, Yang. Shear deformable deformation of carbon nanotubes based on a new analytical nonlocal Timoshenko beam nodel. United States. doi:10.1063/1.4912677.
Zhang, Jianming, and Yang, Yang. Tue . "Shear deformable deformation of carbon nanotubes based on a new analytical nonlocal Timoshenko beam nodel". United States. doi:10.1063/1.4912677.
@article{osti_22391090,
title = {Shear deformable deformation of carbon nanotubes based on a new analytical nonlocal Timoshenko beam nodel},
author = {Zhang, Jianming and Yang, Yang},
abstractNote = {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.},
doi = {10.1063/1.4912677},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1648,
place = {United States},
year = {Tue Mar 10 00:00:00 EDT 2015},
month = {Tue Mar 10 00:00:00 EDT 2015}
}