On the geometric character of stress in continuum mechanics

This paper shows that the stress field in the classical theory of continuum mechanics may be taken to be a covector-valued differential two-form. The balance laws and other fundamental laws of continuum mechanics may be neatly rewritten in terms of this geometric stress. A geometrically attractive a...

Descripción completa

Detalles Bibliográficos
Autores: Kanso, E, Arroyo Balaguer, Marino|||0000-0003-1647-940X, Tong, Y Y, Yavari, A, Marsden, J G, Desbrun, M
Tipo de recurso: artículo
Fecha de publicación:2007
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:2117/8516
Acceso en línea:https://hdl.handle.net/2117/8516
https://dx.doi.org/10.1007/s00033-007-6141-8
Access Level:acceso abierto
Palabra clave:Continuum mechanics--Mathematical models
Continuum mechanics
elasticity
stress tensor
differential forms
Mecànica dels medis continus
Àrees temàtiques de la UPC::Física::Física de l'estat sòlid
id ES_5982ea7efa74bb834ddbc3a2ab6eb311
oai_identifier_str oai:upcommons.upc.edu:2117/8516
network_acronym_str ES
network_name_str España
repository_id_str
spelling On the geometric character of stress in continuum mechanicsKanso, EArroyo Balaguer, Marino|||0000-0003-1647-940XTong, Y YYavari, AMarsden, J GDesbrun, MContinuum mechanics--Mathematical modelsContinuum mechanicselasticitystress tensordifferential formsMecànica dels medis continusÀrees temàtiques de la UPC::Física::Física de l'estat sòlidThis paper shows that the stress field in the classical theory of continuum mechanics may be taken to be a covector-valued differential two-form. The balance laws and other fundamental laws of continuum mechanics may be neatly rewritten in terms of this geometric stress. A geometrically attractive and covariant derivation of the balance laws from the principle of energy balance in terms of this stress is presented.Peer Reviewed20072007-09-0120102010-07-30journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/8516https://dx.doi.org/10.1007/s00033-007-6141-8reponame: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:2117/85162026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the geometric character of stress in continuum mechanics
title On the geometric character of stress in continuum mechanics
spellingShingle On the geometric character of stress in continuum mechanics
Kanso, E
Continuum mechanics--Mathematical models
Continuum mechanics
elasticity
stress tensor
differential forms
Mecànica dels medis continus
Àrees temàtiques de la UPC::Física::Física de l'estat sòlid
title_short On the geometric character of stress in continuum mechanics
title_full On the geometric character of stress in continuum mechanics
title_fullStr On the geometric character of stress in continuum mechanics
title_full_unstemmed On the geometric character of stress in continuum mechanics
title_sort On the geometric character of stress in continuum mechanics
dc.creator.none.fl_str_mv Kanso, E
Arroyo Balaguer, Marino|||0000-0003-1647-940X
Tong, Y Y
Yavari, A
Marsden, J G
Desbrun, M
author Kanso, E
author_facet Kanso, E
Arroyo Balaguer, Marino|||0000-0003-1647-940X
Tong, Y Y
Yavari, A
Marsden, J G
Desbrun, M
author_role author
author2 Arroyo Balaguer, Marino|||0000-0003-1647-940X
Tong, Y Y
Yavari, A
Marsden, J G
Desbrun, M
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Continuum mechanics--Mathematical models
Continuum mechanics
elasticity
stress tensor
differential forms
Mecànica dels medis continus
Àrees temàtiques de la UPC::Física::Física de l'estat sòlid
topic Continuum mechanics--Mathematical models
Continuum mechanics
elasticity
stress tensor
differential forms
Mecànica dels medis continus
Àrees temàtiques de la UPC::Física::Física de l'estat sòlid
description This paper shows that the stress field in the classical theory of continuum mechanics may be taken to be a covector-valued differential two-form. The balance laws and other fundamental laws of continuum mechanics may be neatly rewritten in terms of this geometric stress. A geometrically attractive and covariant derivation of the balance laws from the principle of energy balance in terms of this stress is presented.
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-09-01
2010
2010-07-30
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/8516
https://dx.doi.org/10.1007/s00033-007-6141-8
url https://hdl.handle.net/2117/8516
https://dx.doi.org/10.1007/s00033-007-6141-8
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_ 1869408619613650944
score 15,301603

Similares en LA Referencia