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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/77603
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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 Técnicas2025-09-29T09:56:00Zoai: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:34982025-09-29 09:56:00.783CONICET 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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13.070432 |