Numerical analyses for the atomistic-based shell theory of carbon nanotubes

J. Wu; Z. Zhang; B. Liu; K. C. Hwang; Y. Huang

doi:10.1016/j.ijplas.2008.12.011

Numerical analyses for the atomistic-based shell theory of carbon nanotubes

J. Wu, Z. Zhang, B. Liu, K. C. Hwang, Y. Huang^*

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A shell theory established from the interatomic potential for carbon nanotubes is compared with the atomistic simulations. This shell theory is implemented in the finite element program ABAQUS via its user-material subroutine UGENS for shells. The numerical results for the representative loadings of tension, torsion and bending agree well with the atomistic simulations, which provide direct validation of this atomistic-based shell theory for carbon nanotubes.

Original language	English (US)
Pages (from-to)	1879-1887
Number of pages	9
Journal	International journal of plasticity
Volume	25
Issue number	10
DOIs	https://doi.org/10.1016/j.ijplas.2008.12.011
State	Published - Oct 2009

Keywords

Carbon nanotube
Interatomic potential
Numerical method
Shell theory

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1016/j.ijplas.2008.12.011

Cite this

@article{43b17af3ab1c491888f8aaf4e7347ca9,

title = "Numerical analyses for the atomistic-based shell theory of carbon nanotubes",

abstract = "A shell theory established from the interatomic potential for carbon nanotubes is compared with the atomistic simulations. This shell theory is implemented in the finite element program ABAQUS via its user-material subroutine UGENS for shells. The numerical results for the representative loadings of tension, torsion and bending agree well with the atomistic simulations, which provide direct validation of this atomistic-based shell theory for carbon nanotubes.",

keywords = "Carbon nanotube, Interatomic potential, Numerical method, Shell theory",

author = "J. Wu and Z. Zhang and B. Liu and Hwang, {K. C.} and Y. Huang",

note = "Funding Information: Y.H. acknowledges the supports from the NSF through Nano-CEMMS (Grant #DMI03-28162) at the University of Illinois and ONR Composites for Marine Structures Program (Grant N00014-01-1-0205, Program Manager Dr. Y.D.S. Rajapakse). The authors also acknowledge the supports from the NSFC and Ministry of Education of China. K.C. Hwang also acknowledges the support from National Basic Research Program of China (973 Program) Grant No. 2007CB936803.",

year = "2009",

month = oct,

doi = "10.1016/j.ijplas.2008.12.011",

language = "English (US)",

volume = "25",

pages = "1879--1887",

journal = "International Journal of Plasticity",

issn = "0749-6419",

publisher = "Elsevier Limited",

number = "10",

}

TY - JOUR

T1 - Numerical analyses for the atomistic-based shell theory of carbon nanotubes

AU - Wu, J.

AU - Zhang, Z.

AU - Liu, B.

AU - Hwang, K. C.

AU - Huang, Y.

N1 - Funding Information: Y.H. acknowledges the supports from the NSF through Nano-CEMMS (Grant #DMI03-28162) at the University of Illinois and ONR Composites for Marine Structures Program (Grant N00014-01-1-0205, Program Manager Dr. Y.D.S. Rajapakse). The authors also acknowledge the supports from the NSFC and Ministry of Education of China. K.C. Hwang also acknowledges the support from National Basic Research Program of China (973 Program) Grant No. 2007CB936803.

PY - 2009/10

Y1 - 2009/10

N2 - A shell theory established from the interatomic potential for carbon nanotubes is compared with the atomistic simulations. This shell theory is implemented in the finite element program ABAQUS via its user-material subroutine UGENS for shells. The numerical results for the representative loadings of tension, torsion and bending agree well with the atomistic simulations, which provide direct validation of this atomistic-based shell theory for carbon nanotubes.

AB - A shell theory established from the interatomic potential for carbon nanotubes is compared with the atomistic simulations. This shell theory is implemented in the finite element program ABAQUS via its user-material subroutine UGENS for shells. The numerical results for the representative loadings of tension, torsion and bending agree well with the atomistic simulations, which provide direct validation of this atomistic-based shell theory for carbon nanotubes.

KW - Carbon nanotube

KW - Interatomic potential

KW - Numerical method

KW - Shell theory

UR - http://www.scopus.com/inward/record.url?scp=69449093862&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69449093862&partnerID=8YFLogxK

U2 - 10.1016/j.ijplas.2008.12.011

DO - 10.1016/j.ijplas.2008.12.011

M3 - Article

AN - SCOPUS:69449093862

SN - 0749-6419

VL - 25

SP - 1879

EP - 1887

JO - International Journal of Plasticity

JF - International Journal of Plasticity

IS - 10

ER -

Numerical analyses for the atomistic-based shell theory of carbon nanotubes

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this