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...

Full description

Bibliographic Details
Main Authors: Lu Sheng, Cho Chongdu
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Nanoscale Research Letters
Subjects:
Online Access:http://dx.doi.org/10.1007/s11671-010-9576-3
id doaj-9d4b0ff5fe3f41f09f7ed15d18f00810
record_format Article
spelling doaj-9d4b0ff5fe3f41f09f7ed15d18f008102020-11-24T20:55:16ZengSpringerOpenNanoscale Research Letters1931-75731556-276X2010-01-0155863867A New Extension of Cauchy&#8211;Born Rule for Monolayer Crystal FilmsLu ShengCho Chongdu<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> http://dx.doi.org/10.1007/s11671-010-9576-3Carbon nanotubesCauchy&#8211;Born ruleMonolayer crystalline filmInscribed surfaceMechanical properties
collection DOAJ
language English
format Article
sources DOAJ
author Lu Sheng
Cho Chongdu
spellingShingle Lu Sheng
Cho Chongdu
A New Extension of Cauchy&#8211;Born Rule for Monolayer Crystal Films
Nanoscale Research Letters
Carbon nanotubes
Cauchy&#8211;Born rule
Monolayer crystalline film
Inscribed surface
Mechanical properties
author_facet Lu Sheng
Cho Chongdu
author_sort Lu Sheng
title A New Extension of Cauchy&#8211;Born Rule for Monolayer Crystal Films
title_short A New Extension of Cauchy&#8211;Born Rule for Monolayer Crystal Films
title_full A New Extension of Cauchy&#8211;Born Rule for Monolayer Crystal Films
title_fullStr A New Extension of Cauchy&#8211;Born Rule for Monolayer Crystal Films
title_full_unstemmed A New Extension of Cauchy&#8211;Born Rule for Monolayer Crystal Films
title_sort new extension of cauchy&#8211;born rule for monolayer crystal films
publisher SpringerOpen
series Nanoscale Research Letters
issn 1931-7573
1556-276X
publishDate 2010-01-01
description <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>
topic Carbon nanotubes
Cauchy&#8211;Born rule
Monolayer crystalline film
Inscribed surface
Mechanical properties
url http://dx.doi.org/10.1007/s11671-010-9576-3
work_keys_str_mv AT lusheng anewextensionofcauchy8211bornruleformonolayercrystalfilms
AT chochongdu anewextensionofcauchy8211bornruleformonolayercrystalfilms
AT lusheng newextensionofcauchy8211bornruleformonolayercrystalfilms
AT chochongdu newextensionofcauchy8211bornruleformonolayercrystalfilms
_version_ 1716791968544063488