Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule

A finite deformation continuum theory is derived from interatomic potentials for the analysis of the mechanics of carbon nanotubes. This nonlinear elastic theory is based on an extension of the Cauchy-Born rule called the exponential Cauchy-Born rule. The continuum object replacing the graphene shee...

Descripción completa

Detalles Bibliográficos
Autores: Arroyo Balaguer, Marino|||0000-0003-1647-940X, Belytschko, T.
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/7998
Acceso en línea:https://hdl.handle.net/2117/7998
https://dx.doi.org/10.1103/PhysRevB.69.115415
Access Level:acceso abierto
Palabra clave:Nanotubes, Carbon
Nanotubs de carboni
Àrees temàtiques de la UPC::Física::Física de l'estat sòlid::Propietats mecàniques
id ES_25318846039fe3d7bd3154e4f13fa10d
oai_identifier_str oai:upcommons.upc.edu:2117/7998
network_acronym_str ES
network_name_str España
repository_id_str
spelling Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born ruleArroyo Balaguer, Marino|||0000-0003-1647-940XBelytschko, T.Nanotubes, CarbonNanotubs de carboniÀrees temàtiques de la UPC::Física::Física de l'estat sòlid::Propietats mecàniquesA finite deformation continuum theory is derived from interatomic potentials for the analysis of the mechanics of carbon nanotubes. This nonlinear elastic theory is based on an extension of the Cauchy-Born rule called the exponential Cauchy-Born rule. The continuum object replacing the graphene sheet is a surface without thickness. The method systematically addresses both the characterization of the small strain elasticity of nanotubes and the simulation at large strains. Elastic moduli are explicitly expressed in terms of the functional form of the interatomic potential. The expression for the flexural stiffness of graphene sheets, which cannot be obtained from standard crystal elasticity, is derived. We also show that simulations with the continuum model combined with the finite element method agree very well with zero temperature atomistic calculations involving severe deformations.Peer Reviewed20042004-03-0120102010-07-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/7998https://dx.doi.org/10.1103/PhysRevB.69.115415reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/79982026-05-27T15:37:01Z
dc.title.none.fl_str_mv Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
title Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
spellingShingle Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
Arroyo Balaguer, Marino|||0000-0003-1647-940X
Nanotubes, Carbon
Nanotubs de carboni
Àrees temàtiques de la UPC::Física::Física de l'estat sòlid::Propietats mecàniques
title_short Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
title_full Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
title_fullStr Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
title_full_unstemmed Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
title_sort Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule
dc.creator.none.fl_str_mv Arroyo Balaguer, Marino|||0000-0003-1647-940X
Belytschko, T.
author Arroyo Balaguer, Marino|||0000-0003-1647-940X
author_facet Arroyo Balaguer, Marino|||0000-0003-1647-940X
Belytschko, T.
author_role author
author2 Belytschko, T.
author2_role author
dc.subject.none.fl_str_mv Nanotubes, Carbon
Nanotubs de carboni
Àrees temàtiques de la UPC::Física::Física de l'estat sòlid::Propietats mecàniques
topic Nanotubes, Carbon
Nanotubs de carboni
Àrees temàtiques de la UPC::Física::Física de l'estat sòlid::Propietats mecàniques
description A finite deformation continuum theory is derived from interatomic potentials for the analysis of the mechanics of carbon nanotubes. This nonlinear elastic theory is based on an extension of the Cauchy-Born rule called the exponential Cauchy-Born rule. The continuum object replacing the graphene sheet is a surface without thickness. The method systematically addresses both the characterization of the small strain elasticity of nanotubes and the simulation at large strains. Elastic moduli are explicitly expressed in terms of the functional form of the interatomic potential. The expression for the flexural stiffness of graphene sheets, which cannot be obtained from standard crystal elasticity, is derived. We also show that simulations with the continuum model combined with the finite element method agree very well with zero temperature atomistic calculations involving severe deformations.
publishDate 2004
dc.date.none.fl_str_mv 2004
2004-03-01
2010
2010-07-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/7998
https://dx.doi.org/10.1103/PhysRevB.69.115415
url https://hdl.handle.net/2117/7998
https://dx.doi.org/10.1103/PhysRevB.69.115415
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869404742760792064
score 15,30478

Similares en LA Referencia