Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques

Autores
Ramos Nervi, Juan Eduardo; Idiart, Martín Ignacio
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The elastoplastic response of polycrystalline voided solids is idealized here as rigid-perfectly plastic. Bounds on the macroscopic plastic strength for prescribed microstructural statistics and single-crystal strength are computed be means of a linearcomparison homogenization technique developed by Idiart&Ponte Castañeda (2007Proc. R. Soc. A 463, 907-924. (doi:10.1098/rspa.2006.1797)). Hashin-Shtrikman (HS) and Self-Consistent (SC) results in the form of yield surfaces are reported for cubic and hexagonal polycrystals with isotropic texture and varying degrees of crystal anisotropy. In all cases, the surfaces are smooth, closed and convex. Improvements over earlier linear-comparison bounds of up to 40% are found at high-stress triaxialities. New HS results can even be sharper than earlier SC results for some material systems. In the case of deficient crystals, the SC results assert that voided aggregates of crystals with four independent systems can accommodate arbitrary deformations, those with three independent systems can dilate but not distort, and those with fewer than three independent systems cannot deform at all. We report the sharpest bounds available to date for all classes of material systems considered.
Fil: Ramos Nervi, Juan Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina. Nucleoeléctrica Argentina S.A.; Argentina
Fil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
Materia
DAMAGE
HOMOGENIZATION
PLASTICITY
POLYCRYSTALS
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:11336/77603
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/77603
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniquesRamos Nervi, Juan EduardoIdiart, Martín IgnacioDAMAGEHOMOGENIZATIONPLASTICITYPOLYCRYSTALShttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2The elastoplastic response of polycrystalline voided solids is idealized here as rigid-perfectly plastic. Bounds on the macroscopic plastic strength for prescribed microstructural statistics and single-crystal strength are computed be means of a linearcomparison homogenization technique developed by Idiart&Ponte Castañeda (2007Proc. R. Soc. A 463, 907-924. (doi:10.1098/rspa.2006.1797)). Hashin-Shtrikman (HS) and Self-Consistent (SC) results in the form of yield surfaces are reported for cubic and hexagonal polycrystals with isotropic texture and varying degrees of crystal anisotropy. In all cases, the surfaces are smooth, closed and convex. Improvements over earlier linear-comparison bounds of up to 40% are found at high-stress triaxialities. New HS results can even be sharper than earlier SC results for some material systems. In the case of deficient crystals, the SC results assert that voided aggregates of crystals with four independent systems can accommodate arbitrary deformations, those with three independent systems can dilate but not distort, and those with fewer than three independent systems cannot deform at all. We report the sharpest bounds available to date for all classes of material systems considered.Fil: Ramos Nervi, Juan Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina. Nucleoeléctrica Argentina S.A.; ArgentinaFil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; ArgentinaThe Royal Society2015-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/77603Ramos Nervi, Juan Eduardo; Idiart, Martín Ignacio; Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques; The Royal Society; Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences; 471; 2183; 11-2015; 1-171364-50211471-2946CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1098/rspa.2015.0380info:eu-repo/semantics/altIdentifier/url/https://royalsocietypublishing.org/doi/10.1098/rspa.2015.0380info:eu-repo/semantics/altIdentifier/url/https://www.jstor.org/stable/41511054?seq=1#page_scan_tab_contentsinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:25:08Zoai:ri.conicet.gov.ar:11336/77603instacron: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:34982025-10-22 11:25:08.486CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
spellingShingle Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
Ramos Nervi, Juan Eduardo
DAMAGE
HOMOGENIZATION
PLASTICITY
POLYCRYSTALS
title_short Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_full Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_fullStr Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_full_unstemmed Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
title_sort Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques
dc.creator.none.fl_str_mv Ramos Nervi, Juan Eduardo
Idiart, Martín Ignacio
author Ramos Nervi, Juan Eduardo
author_facet Ramos Nervi, Juan Eduardo
Idiart, Martín Ignacio
author_role author
author2 Idiart, Martín Ignacio
author2_role author
dc.subject.none.fl_str_mv DAMAGE
HOMOGENIZATION
PLASTICITY
POLYCRYSTALS
topic DAMAGE
HOMOGENIZATION
PLASTICITY
POLYCRYSTALS
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The elastoplastic response of polycrystalline voided solids is idealized here as rigid-perfectly plastic. Bounds on the macroscopic plastic strength for prescribed microstructural statistics and single-crystal strength are computed be means of a linearcomparison homogenization technique developed by Idiart&Ponte Castañeda (2007Proc. R. Soc. A 463, 907-924. (doi:10.1098/rspa.2006.1797)). Hashin-Shtrikman (HS) and Self-Consistent (SC) results in the form of yield surfaces are reported for cubic and hexagonal polycrystals with isotropic texture and varying degrees of crystal anisotropy. In all cases, the surfaces are smooth, closed and convex. Improvements over earlier linear-comparison bounds of up to 40% are found at high-stress triaxialities. New HS results can even be sharper than earlier SC results for some material systems. In the case of deficient crystals, the SC results assert that voided aggregates of crystals with four independent systems can accommodate arbitrary deformations, those with three independent systems can dilate but not distort, and those with fewer than three independent systems cannot deform at all. We report the sharpest bounds available to date for all classes of material systems considered.
Fil: Ramos Nervi, Juan Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina. Nucleoeléctrica Argentina S.A.; Argentina
Fil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
description The elastoplastic response of polycrystalline voided solids is idealized here as rigid-perfectly plastic. Bounds on the macroscopic plastic strength for prescribed microstructural statistics and single-crystal strength are computed be means of a linearcomparison homogenization technique developed by Idiart&Ponte Castañeda (2007Proc. R. Soc. A 463, 907-924. (doi:10.1098/rspa.2006.1797)). Hashin-Shtrikman (HS) and Self-Consistent (SC) results in the form of yield surfaces are reported for cubic and hexagonal polycrystals with isotropic texture and varying degrees of crystal anisotropy. In all cases, the surfaces are smooth, closed and convex. Improvements over earlier linear-comparison bounds of up to 40% are found at high-stress triaxialities. New HS results can even be sharper than earlier SC results for some material systems. In the case of deficient crystals, the SC results assert that voided aggregates of crystals with four independent systems can accommodate arbitrary deformations, those with three independent systems can dilate but not distort, and those with fewer than three independent systems cannot deform at all. We report the sharpest bounds available to date for all classes of material systems considered.
publishDate 2015
dc.date.none.fl_str_mv 2015-11
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/11336/77603
Ramos Nervi, Juan Eduardo; Idiart, Martín Ignacio; Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques; The Royal Society; Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences; 471; 2183; 11-2015; 1-17
1364-5021
1471-2946
CONICET Digital
CONICET
url http://hdl.handle.net/11336/77603
identifier_str_mv Ramos Nervi, Juan Eduardo; Idiart, Martín Ignacio; Bounding the plastic strength of polycrystalline voided solids by linear-comparison homogenization techniques; The Royal Society; Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences; 471; 2183; 11-2015; 1-17
1364-5021
1471-2946
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1098/rspa.2015.0380
info:eu-repo/semantics/altIdentifier/url/https://royalsocietypublishing.org/doi/10.1098/rspa.2015.0380
info:eu-repo/semantics/altIdentifier/url/https://www.jstor.org/stable/41511054?seq=1#page_scan_tab_contents
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 The Royal Society
publisher.none.fl_str_mv The Royal Society
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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score 12.982451

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