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Title: The compressive buckling and size effect of single-walled carbon nanotubes

Abstract

A higher-order Bernoulli-Euler beam model is developed to investigate the compressive buckling and size effect of single-walled carbon nanotubes by using a higher-order continuum relationship that has been previously proposed by the present authors. The second-order deformation gradients with respect to the axial direction are also considered, and the beam parameters are obtained by calculating the constitutive response around the circumference. The critical compressive force is analytically provided, and the size effect is studied by estimating the contribution of the higher-order terms.

Authors:
; ;  [1]
  1. Department of Civil Engineering and Architecture, Zhongyuan University of Technology, Zhengzhou (China)
Publication Date:
OSTI Identifier:
22391092
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; BUCKLING; CARBON NANOTUBES; DEFORMATION; MATHEMATICAL MODELS

Citation Formats

Sun, Yuzhou, E-mail: yuzhousun@126.com, Zhu, Yanzhi, and Li, Dongxia. The compressive buckling and size effect of single-walled carbon nanotubes. United States: N. p., 2015. Web. doi:10.1063/1.4912690.
Sun, Yuzhou, E-mail: yuzhousun@126.com, Zhu, Yanzhi, & Li, Dongxia. The compressive buckling and size effect of single-walled carbon nanotubes. United States. doi:10.1063/1.4912690.
Sun, Yuzhou, E-mail: yuzhousun@126.com, Zhu, Yanzhi, and Li, Dongxia. Tue . "The compressive buckling and size effect of single-walled carbon nanotubes". United States. doi:10.1063/1.4912690.
@article{osti_22391092,
title = {The compressive buckling and size effect of single-walled carbon nanotubes},
author = {Sun, Yuzhou, E-mail: yuzhousun@126.com and Zhu, Yanzhi and Li, Dongxia},
abstractNote = {A higher-order Bernoulli-Euler beam model is developed to investigate the compressive buckling and size effect of single-walled carbon nanotubes by using a higher-order continuum relationship that has been previously proposed by the present authors. The second-order deformation gradients with respect to the axial direction are also considered, and the beam parameters are obtained by calculating the constitutive response around the circumference. The critical compressive force is analytically provided, and the size effect is studied by estimating the contribution of the higher-order terms.},
doi = {10.1063/1.4912690},
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}
}