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

Autores
Idiart, Martín Ignacio
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The elastoplastic response of polycrystalline metals and minerals above their brittle-ductile transition temperature is idealized here as rigid-perfectly plastic. Bounds on the overall plastic strength of polycrystalline solids with prescribed microstructural statistics and single-crystal plastic strength are computed by means of a linear-comparison homogenization method recently developed by Idiart and Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907–-924). Hashin-Shtrikman and Self-Consistent results are reported for cubic and hexagonal polycrystals with varying degrees of crystal anisotropy. Improvements over earlier linear-comparison bounds are found to be modest for high-symmetry materials but become appreciable for low-symmetry materials. The largest improvement is observed in Self-Consistent results for low-symmetry hexagonal polycrystals, exceeding 15% in some cases. In addition to providing the sharpest bounds available to date, these results serve to evaluate the performance of the aforementioned linear-comparison method in the context of realistic material systems.
Fil: Idiart, Martín Ignacio. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Materia
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:11336/195196
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methodsIdiart, Martín IgnacioHOMOGENIZATIONPLASTICITYPOLYCRYSTALShttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2The elastoplastic response of polycrystalline metals and minerals above their brittle-ductile transition temperature is idealized here as rigid-perfectly plastic. Bounds on the overall plastic strength of polycrystalline solids with prescribed microstructural statistics and single-crystal plastic strength are computed by means of a linear-comparison homogenization method recently developed by Idiart and Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907–-924). Hashin-Shtrikman and Self-Consistent results are reported for cubic and hexagonal polycrystals with varying degrees of crystal anisotropy. Improvements over earlier linear-comparison bounds are found to be modest for high-symmetry materials but become appreciable for low-symmetry materials. The largest improvement is observed in Self-Consistent results for low-symmetry hexagonal polycrystals, exceeding 15% in some cases. In addition to providing the sharpest bounds available to date, these results serve to evaluate the performance of the aforementioned linear-comparison method in the context of realistic material systems.Fil: Idiart, Martín Ignacio. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaThe Royal Society2012-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/195196Idiart, Martín Ignacio; Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods; The Royal Society; Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences; 468; 2140; 4-2012; 1136-11531364-5021CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://royalsocietypublishing.org/doi/10.1098/rspa.2011.0509info:eu-repo/semantics/altIdentifier/doi/10.1098/rspa.2011.0509info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:12:05Zoai:ri.conicet.gov.ar:11336/195196instacron: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 12:12:06.102CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
spellingShingle Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
Idiart, Martín Ignacio
HOMOGENIZATION
PLASTICITY
POLYCRYSTALS
title_short Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_full Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_fullStr Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_full_unstemmed Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
title_sort Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods
dc.creator.none.fl_str_mv Idiart, Martín Ignacio
author Idiart, Martín Ignacio
author_facet Idiart, Martín Ignacio
author_role author
dc.subject.none.fl_str_mv HOMOGENIZATION
PLASTICITY
POLYCRYSTALS
topic 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 metals and minerals above their brittle-ductile transition temperature is idealized here as rigid-perfectly plastic. Bounds on the overall plastic strength of polycrystalline solids with prescribed microstructural statistics and single-crystal plastic strength are computed by means of a linear-comparison homogenization method recently developed by Idiart and Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907–-924). Hashin-Shtrikman and Self-Consistent results are reported for cubic and hexagonal polycrystals with varying degrees of crystal anisotropy. Improvements over earlier linear-comparison bounds are found to be modest for high-symmetry materials but become appreciable for low-symmetry materials. The largest improvement is observed in Self-Consistent results for low-symmetry hexagonal polycrystals, exceeding 15% in some cases. In addition to providing the sharpest bounds available to date, these results serve to evaluate the performance of the aforementioned linear-comparison method in the context of realistic material systems.
Fil: Idiart, Martín Ignacio. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
description The elastoplastic response of polycrystalline metals and minerals above their brittle-ductile transition temperature is idealized here as rigid-perfectly plastic. Bounds on the overall plastic strength of polycrystalline solids with prescribed microstructural statistics and single-crystal plastic strength are computed by means of a linear-comparison homogenization method recently developed by Idiart and Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907–-924). Hashin-Shtrikman and Self-Consistent results are reported for cubic and hexagonal polycrystals with varying degrees of crystal anisotropy. Improvements over earlier linear-comparison bounds are found to be modest for high-symmetry materials but become appreciable for low-symmetry materials. The largest improvement is observed in Self-Consistent results for low-symmetry hexagonal polycrystals, exceeding 15% in some cases. In addition to providing the sharpest bounds available to date, these results serve to evaluate the performance of the aforementioned linear-comparison method in the context of realistic material systems.
publishDate 2012
dc.date.none.fl_str_mv 2012-04
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/11336/195196
Idiart, Martín Ignacio; Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods; The Royal Society; Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences; 468; 2140; 4-2012; 1136-1153
1364-5021
CONICET Digital
CONICET
url http://hdl.handle.net/11336/195196
identifier_str_mv Idiart, Martín Ignacio; Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods; The Royal Society; Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences; 468; 2140; 4-2012; 1136-1153
1364-5021
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://royalsocietypublishing.org/doi/10.1098/rspa.2011.0509
info:eu-repo/semantics/altIdentifier/doi/10.1098/rspa.2011.0509
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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