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

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 s...

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Detalles Bibliográficos
Autores principales: Lu, Sheng, Cho, Chongdu
Formato: Texto
Lenguaje:English
Publicado: Springer 2010
Materias:
Nano Express
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2894295/
https://www.ncbi.nlm.nih.gov/pubmed/20672027
http://dx.doi.org/10.1007/s11671-010-9576-3
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author Lu, Sheng
Cho, Chongdu
author_facet Lu, Sheng
Cho, Chongdu
author_sort Lu, Sheng
collection PubMed
description 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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spelling pubmed-28942952010-07-28 A New Extension of Cauchy–Born Rule for Monolayer Crystal Films Lu, Sheng Cho, Chongdu Nanoscale Res Lett Nano Express 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. Springer 2010-03-23 /pmc/articles/PMC2894295/ /pubmed/20672027 http://dx.doi.org/10.1007/s11671-010-9576-3 Text en Copyright © 2010 The Author(s) https://creativecommons.org/licenses/by-nc/4.0/ This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
spellingShingle Nano Express
Lu, Sheng
Cho, Chongdu
A New Extension of Cauchy–Born Rule for Monolayer Crystal Films
title A New Extension of Cauchy–Born Rule for Monolayer Crystal Films
title_full A New Extension of Cauchy–Born Rule for Monolayer Crystal Films
title_fullStr A New Extension of Cauchy–Born Rule for Monolayer Crystal Films
title_full_unstemmed A New Extension of Cauchy–Born Rule for Monolayer Crystal Films
title_short A New Extension of Cauchy–Born Rule for Monolayer Crystal Films
title_sort new extension of cauchy–born rule for monolayer crystal films
topic Nano Express
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2894295/
https://www.ncbi.nlm.nih.gov/pubmed/20672027
http://dx.doi.org/10.1007/s11671-010-9576-3
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