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

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

<p>Abstract</p> <p>By combining with the physical concept of inscribed surface, the standard Cauchy&#8211;Born rule (CBR) is straightly extended to have a rigorous and accurate atomistic continuum theory for the monolayer crystal films. Resorting to using Tersoff&#8211;Bren...

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Bibliographic Details
Main Authors: Lu Sheng, Cho Chongdu
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Nanoscale Research Letters
Subjects:
Carbon nanotubes
Cauchy&#8211;Born rule
Monolayer crystalline film
Inscribed surface
Mechanical properties
Online Access:http://dx.doi.org/10.1007/s11671-010-9576-3
Description
Summary:<p>Abstract</p> <p>By combining with the physical concept of inscribed surface, the standard Cauchy&#8211;Born rule (CBR) is straightly extended to have a rigorous and accurate atomistic continuum theory for the monolayer crystal films. Resorting to using Tersoff&#8211;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.</p>
ISSN:1931-7573
1556-276X

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