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Journal of Nanomaterials
Volume 2013 (2013), Article ID 767249, 9 pages
Research Article

Embedding Effect on the Mechanical Stability of Pressurised Carbon Nanotubes

1Division of Engineering and Policy for Sustainable Environment, Faculty of Engineering, Hokkaido University, Sapporo 060-8628, Japan
2Department of Physics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan
3Department of Environmental Sciences & Interdisciplinary Graduate School of Medicine and Engineering, University of Yamanashi, 4-4-37 Takeda, Kofu, Yamanashi 400-8510, Japan

Received 6 March 2013; Revised 15 April 2013; Accepted 26 April 2013

Academic Editor: Teng Li

Copyright © 2013 Motohiro Sato et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We elaborate on the cross-sectional deformation of carbon nanotubes embedded into a self-contracting host medium. The continuum elastic approach is used to formulate the mechanical energy of both the embedded nanotubes and the self-contracting outer medium with finite thickness. Our formula allows us to evaluate the critical radial pressure applied on the interface between the embedded nanotube and the outer contracting medium as well as the deformation mode that arises immediately above the critical pressure. An interesting mechanical implication of the embedding effect, that is, the power-law dependence of the critical pressure on the elastic modulus of the medium, is deduced by the theoretical approach established.