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A New Extension of Cauchy–Born Rule for Monolayer Crystal Films

Author(s): Lu Sheng | Cho Chongdu

Journal: Nanoscale Research Letters
ISSN 1931-7573

Volume: 5;
Issue: 5;
Start page: 863;
Date: 2010;
Original page

Keywords: Carbon nanotubes | Cauchy–Born rule | Monolayer crystalline film | Inscribed surface | Mechanical properties

Abstract By combining with the physical concept of inscribed surface, the standard Cauchy–Born rule (CBR) is straightly extended to have a rigorous and accurate atomistic continuum theory for the monolayer crystal films. Resorting to using Tersoff–Brenner potential, the present theory to graphite sheet and single-walled carbon nanotubes (SWCNTs) is applied to evaluate the mechanical properties. The results are validated by the comparison with previously reported studies.
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