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 & Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907-924 (doi:10.1098/rspa.2006.1797)). 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 per cent 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.
Facultad de Ingeniería
Materia
Física
Homogenization
Plasticity
Polycrystals
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/84268
Acceder
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network_name_str SEDICI (UNLP)
spelling Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methodsIdiart, Martín IgnacioFísicaHomogenizationPlasticityPolycrystalsThe 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 & Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907-924 (doi:10.1098/rspa.2006.1797)). 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 per cent 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.Facultad de Ingeniería2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1136-1153http://sedici.unlp.edu.ar/handle/10915/84268enginfo:eu-repo/semantics/altIdentifier/issn/1364-5021info:eu-repo/semantics/altIdentifier/doi/10.1098/rspa.2011.0509info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:16:05Zoai:sedici.unlp.edu.ar:10915/84268Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:16:05.429SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Física
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 Física
Homogenization
Plasticity
Polycrystals
topic Física
Homogenization
Plasticity
Polycrystals
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 & Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907-924 (doi:10.1098/rspa.2006.1797)). 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 per cent 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.
Facultad de Ingeniería
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 & Ponte Castañeda (Idiart & Ponte Castañeda 2007 Proc. R. Soc. A 463, 907-924 (doi:10.1098/rspa.2006.1797)). 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 per cent 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
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/84268
url http://sedici.unlp.edu.ar/handle/10915/84268
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1364-5021
info:eu-repo/semantics/altIdentifier/doi/10.1098/rspa.2011.0509
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
1136-1153
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instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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