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Effect of substrate deformation in the nanowire/nanotube bending test

Published online by Cambridge University Press:  01 February 2011

Wingkin Chan ,
Yong Wang ,
Jianrong Li  and
Tong-Yi Zhang
Wingkin Chan
Affiliation:
Department of Mechanical Engineering, Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong, China
Yong Wang
Affiliation:
Department of Mechanical Engineering, Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong, China
Jianrong Li
Affiliation:
Department of Mechanical Engineering, Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong, China
Tong-Yi Zhang*
Affiliation:
Department of Mechanical Engineering, Hong Kong University of Science and Technology Clear Water Bay, Kowloon, Hong Kong, China
*
*Corresponding author, Tel: (852) 2358-7192, Fax: (852) 2358-1543, E-mail: mezhangt@ust.hk
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Abstract

The present work analyses the effect of substrate deformation during the nanowire/nanotube bending test. An individual nanowire or nanotube is treated as a linear isotropic continuum. The substrate deformation is modeled by two coupled springs and the spring compliances arefunctions of the nanowire/nanotube diameter, and the Young moduli of the nanowire/nanotube and the substrates. An atomic potential is used to determine the adhesion between the nanowire/nanotube and its substrate. Consequently, a simple three dimensional Finite Element (FE) model is built to calculate the spring compliances. The load-displacement relation, which takes into account of substrate deformation, is derived in a closed form, which can be reduced to the load-displacement relations based on the simply-supported ends and the built-in ends. The numerical results indicate that the substrate deformation has a great influence on the determination of the Young modulus of a nanowire/nanotube from the bending test. The nanobridge test on carbon nanotubes is taken as an example to demonstrate the feasibility of the developed method.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 880: Symposium BB – Mechanical Properties of Nanostructured Materials-Experiments and Modeling , 2005 , BB4.6
Copyright
Copyright © Materials Research Society 2005

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