Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

CiteULike is a free service for managing and discovering scholarly references - click here to get started.

Sign In to gain access to subscriptions and/or personal tools.
Mathematics and Mechanics of Solids
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to Saved Citations
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow Request Reprints
Right arrow Add to My Marked Citations
Citing Articles
Right arrow Citing Articles via Google Scholar
Right arrow Citing Articles via Scopus
Google Scholar
Right arrow Articles by Ru, C.Q.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Complore   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati   Add to Twitter  
What's this?

Chirality-Dependent Mechanical Behavior of Carbon Nanotubes Based on an Anisotropic Elastic Shell Model

C.Q. Ru

Department of Mechanical Engineering, University of Alberta, Edmonton, Canada T6G 2G8

Motivated by recently reported chirality-dependent mechanical phenomena of small-radius carbon nanotubes, an anisotropic elastic shell model is developed in the present paper for small-radius single-walled carbon nanotubes. Due to curvature-derived elastic anisotropy, small-radius single-walled carbon nanotubes are better described by anisotropic plane-stress relations rather than graphite sheets of hexagonal symmetry which are governed by an isotropic plane-stress relation. Based on an orthotropic plane-stress elastic relation for zigzag and armchair single-walled carbon nanotubes, the suggested model is formulated for chiral single-walled carbon nanotubes of arbitrary chiral angle through a small-angle (less than {pi}/12) rotation of the coordinate system. The results obtained show that the suggested anisotropic shell model can explain the chirality-dependent mechanical phenomena reported in the recent literature, and could be used to study chirality-dependent mechanical behavior of multi-walled carbon nanotubes of smaller innermost radii.

Key Words: carbon nanotubes • chirality • elastic shell • anisotropic • orthotropic.

Mathematics and Mechanics of Solids, Vol. 14, No. 1-2, 88-101 (2009)
DOI: 10.1177/1081286508092604
Add to CiteULike CiteULike   Add to Complore Complore   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati   Add to Twitter Twitter    What's this?