Compressive instability of carbon nanotubes

Ning Hu; Kazuhiko Nunoya; Hisao Fukunaga

doi:10.4028/0-87849-456-1.2187

Compressive instability of carbon nanotubes

Ning Hu, Kazuhiko Nunoya, Hisao Fukunaga

ENG - Aerospace Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

Based on both molecular mechanics and computational structural mechanics, a three-dimensional (3D) equivalent beam element is developed to model a C-C covalent bond on carbon nanotubes (CNTs) whereas the van der Waals forces between atoms in the different walls of multi-walled CNTs are described using a rod element. The buckling characteristics of CNTs are conveniently analyzed by using the traditional finite element method (FEM) of a 3D beam and rod model, termed as molecular structural mechanics approach (MSMA). Moreover, to model the CNTs with large length or large diameter, the validity of Euler's beam buckling theory and a shell model with proper properties defined from the results of MSMA is investigated. The predicted results by this simple continuum mechanics approach agree well with the reported experimental data.

Original language	English
Pages (from-to)	2187-2190
Number of pages	4
Journal	Key Engineering Materials
Volume	353-358
Issue number	PART 3
DOIs	https://doi.org/10.4028/0-87849-456-1.2187
Publication status	Published - 2007 Jan 1
Event	Asian Pacific Conference for Fracture and Strength (APCFS'06) - Sanya, Hainan Island, China Duration: 2006 Nov 22 → 2006 Nov 25

Keywords

Carbon nanotube
Compressive instability
Finite element method
Molecular mechanics

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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title = "Compressive instability of carbon nanotubes",

abstract = "Based on both molecular mechanics and computational structural mechanics, a three-dimensional (3D) equivalent beam element is developed to model a C-C covalent bond on carbon nanotubes (CNTs) whereas the van der Waals forces between atoms in the different walls of multi-walled CNTs are described using a rod element. The buckling characteristics of CNTs are conveniently analyzed by using the traditional finite element method (FEM) of a 3D beam and rod model, termed as molecular structural mechanics approach (MSMA). Moreover, to model the CNTs with large length or large diameter, the validity of Euler's beam buckling theory and a shell model with proper properties defined from the results of MSMA is investigated. The predicted results by this simple continuum mechanics approach agree well with the reported experimental data.",

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T1 - Compressive instability of carbon nanotubes

AU - Hu, Ning

AU - Nunoya, Kazuhiko

AU - Fukunaga, Hisao

PY - 2007/1/1

Y1 - 2007/1/1

N2 - Based on both molecular mechanics and computational structural mechanics, a three-dimensional (3D) equivalent beam element is developed to model a C-C covalent bond on carbon nanotubes (CNTs) whereas the van der Waals forces between atoms in the different walls of multi-walled CNTs are described using a rod element. The buckling characteristics of CNTs are conveniently analyzed by using the traditional finite element method (FEM) of a 3D beam and rod model, termed as molecular structural mechanics approach (MSMA). Moreover, to model the CNTs with large length or large diameter, the validity of Euler's beam buckling theory and a shell model with proper properties defined from the results of MSMA is investigated. The predicted results by this simple continuum mechanics approach agree well with the reported experimental data.

AB - Based on both molecular mechanics and computational structural mechanics, a three-dimensional (3D) equivalent beam element is developed to model a C-C covalent bond on carbon nanotubes (CNTs) whereas the van der Waals forces between atoms in the different walls of multi-walled CNTs are described using a rod element. The buckling characteristics of CNTs are conveniently analyzed by using the traditional finite element method (FEM) of a 3D beam and rod model, termed as molecular structural mechanics approach (MSMA). Moreover, to model the CNTs with large length or large diameter, the validity of Euler's beam buckling theory and a shell model with proper properties defined from the results of MSMA is investigated. The predicted results by this simple continuum mechanics approach agree well with the reported experimental data.

KW - Carbon nanotube

KW - Compressive instability

KW - Finite element method

KW - Molecular mechanics

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