Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques

Autores
Idiart, Martín Ignacio; Ramos Nervi, Juan Eduardo
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A linear-comparison homogenization technique and its relaxed version are used to compute bounds of the Hashin–Shtrikman and the self-consistent types for the hydrostatic strength of ideally plastic voided polycrystals. Closed-form analytical results are derived for isotropic aggregates of various cubic symmetries (fcc, bcc, ionic). The impact of the variational relaxation on the bounds is found to be significantly larger than that previously observed in fully dense polycrystals. So much so that, quite surprisingly, relaxed self-consistent bounds are found to be weaker than non-relaxed Hashin–Shtrikman bounds in some of the material systems considered.
Une technique dʼhomogénéisation non linéaire et sa version relaxée sont utilisées pour calculer des bornes de types Hashin–Shtrikman et autocohérent pour la resistance hydrostatique de polycristaux poreux parfaitement plastiques. On en dérive des résultats analytiques pour des agrégats isotropes de différentes symétries cubiques (cfc, ccc, ionique). Lʼimpact sur les bornes de la relaxation variationnelle se révèle être beaucoup plus important que celui précédemment observé dans le cas de polycristaux denses, tant et si bien que des bornes relaxées de type autocohérent sʼavèrent être plus faibles que des bornes non relaxées de type Hashin–Shtrikman dans certains systèmes matériels considérés.
Fil: Idiart, Martín Ignacio. Universidad Nacional de la Plata. Facultad de Ingeniería. Departamento de Aeronautica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ramos Nervi, Juan Eduardo. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
Materia
Polycrystals
Plasticity
Homogenization
Bounds
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/24625

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spelling Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniquesBornes de la résistance plastique hydrostatique des polycrystaux poreux et leurs implications sur des techniques basées sur des milieux linéaires de comparaisonIdiart, Martín IgnacioRamos Nervi, Juan EduardoPolycrystalsPlasticityHomogenizationBoundshttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2A linear-comparison homogenization technique and its relaxed version are used to compute bounds of the Hashin–Shtrikman and the self-consistent types for the hydrostatic strength of ideally plastic voided polycrystals. Closed-form analytical results are derived for isotropic aggregates of various cubic symmetries (fcc, bcc, ionic). The impact of the variational relaxation on the bounds is found to be significantly larger than that previously observed in fully dense polycrystals. So much so that, quite surprisingly, relaxed self-consistent bounds are found to be weaker than non-relaxed Hashin–Shtrikman bounds in some of the material systems considered.Une technique dʼhomogénéisation non linéaire et sa version relaxée sont utilisées pour calculer des bornes de types Hashin–Shtrikman et autocohérent pour la resistance hydrostatique de polycristaux poreux parfaitement plastiques. On en dérive des résultats analytiques pour des agrégats isotropes de différentes symétries cubiques (cfc, ccc, ionique). Lʼimpact sur les bornes de la relaxation variationnelle se révèle être beaucoup plus important que celui précédemment observé dans le cas de polycristaux denses, tant et si bien que des bornes relaxées de type autocohérent sʼavèrent être plus faibles que des bornes non relaxées de type Hashin–Shtrikman dans certains systèmes matériels considérés.Fil: Idiart, Martín Ignacio. Universidad Nacional de la Plata. Facultad de Ingeniería. Departamento de Aeronautica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ramos Nervi, Juan Eduardo. Universidad Nacional de La Plata. Facultad de Ingeniería; ArgentinaElsevier France-editions Scientifiques Medicales Elsevier2014-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/24625Idiart, Martín Ignacio; Ramos Nervi, Juan Eduardo; Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques; Elsevier France-editions Scientifiques Medicales Elsevier; Comptes Rendus Mecanique; 342; 1; 1-2014; 25-311631-0721CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://linkinghub.elsevier.com/retrieve/pii/S1631072113001551info:eu-repo/semantics/altIdentifier/doi/10.1016/j.crme.2013.11.002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:57:18Zoai:ri.conicet.gov.ar:11336/24625instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:57:19.189CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques
Bornes de la résistance plastique hydrostatique des polycrystaux poreux et leurs implications sur des techniques basées sur des milieux linéaires de comparaison
title Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques
spellingShingle Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques
Idiart, Martín Ignacio
Polycrystals
Plasticity
Homogenization
Bounds
title_short Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques
title_full Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques
title_fullStr Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques
title_full_unstemmed Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques
title_sort Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques
dc.creator.none.fl_str_mv Idiart, Martín Ignacio
Ramos Nervi, Juan Eduardo
author Idiart, Martín Ignacio
author_facet Idiart, Martín Ignacio
Ramos Nervi, Juan Eduardo
author_role author
author2 Ramos Nervi, Juan Eduardo
author2_role author
dc.subject.none.fl_str_mv Polycrystals
Plasticity
Homogenization
Bounds
topic Polycrystals
Plasticity
Homogenization
Bounds
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv A linear-comparison homogenization technique and its relaxed version are used to compute bounds of the Hashin–Shtrikman and the self-consistent types for the hydrostatic strength of ideally plastic voided polycrystals. Closed-form analytical results are derived for isotropic aggregates of various cubic symmetries (fcc, bcc, ionic). The impact of the variational relaxation on the bounds is found to be significantly larger than that previously observed in fully dense polycrystals. So much so that, quite surprisingly, relaxed self-consistent bounds are found to be weaker than non-relaxed Hashin–Shtrikman bounds in some of the material systems considered.
Une technique dʼhomogénéisation non linéaire et sa version relaxée sont utilisées pour calculer des bornes de types Hashin–Shtrikman et autocohérent pour la resistance hydrostatique de polycristaux poreux parfaitement plastiques. On en dérive des résultats analytiques pour des agrégats isotropes de différentes symétries cubiques (cfc, ccc, ionique). Lʼimpact sur les bornes de la relaxation variationnelle se révèle être beaucoup plus important que celui précédemment observé dans le cas de polycristaux denses, tant et si bien que des bornes relaxées de type autocohérent sʼavèrent être plus faibles que des bornes non relaxées de type Hashin–Shtrikman dans certains systèmes matériels considérés.
Fil: Idiart, Martín Ignacio. Universidad Nacional de la Plata. Facultad de Ingeniería. Departamento de Aeronautica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ramos Nervi, Juan Eduardo. Universidad Nacional de La Plata. Facultad de Ingeniería; Argentina
description A linear-comparison homogenization technique and its relaxed version are used to compute bounds of the Hashin–Shtrikman and the self-consistent types for the hydrostatic strength of ideally plastic voided polycrystals. Closed-form analytical results are derived for isotropic aggregates of various cubic symmetries (fcc, bcc, ionic). The impact of the variational relaxation on the bounds is found to be significantly larger than that previously observed in fully dense polycrystals. So much so that, quite surprisingly, relaxed self-consistent bounds are found to be weaker than non-relaxed Hashin–Shtrikman bounds in some of the material systems considered.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/24625
Idiart, Martín Ignacio; Ramos Nervi, Juan Eduardo; Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques; Elsevier France-editions Scientifiques Medicales Elsevier; Comptes Rendus Mecanique; 342; 1; 1-2014; 25-31
1631-0721
CONICET Digital
CONICET
url http://hdl.handle.net/11336/24625
identifier_str_mv Idiart, Martín Ignacio; Ramos Nervi, Juan Eduardo; Bounds on the hydrostatic plastic strength of voided polycrystals and implications for linear-comparison homogenization techniques; Elsevier France-editions Scientifiques Medicales Elsevier; Comptes Rendus Mecanique; 342; 1; 1-2014; 25-31
1631-0721
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://linkinghub.elsevier.com/retrieve/pii/S1631072113001551
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.crme.2013.11.002
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier France-editions Scientifiques Medicales Elsevier
publisher.none.fl_str_mv Elsevier France-editions Scientifiques Medicales Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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