Estimates for two-phase nonlinear conductors via iterated homogenization
- Autores
- Idiart, Martín Ignacio; Ponte Castañeda, Pedro
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Estimates for the overall response of two-phase nonlinear conductors are derived via an iterated homogenization approach. The approach consists in the construction of sequentially laminated microgeometries for which the overall response can be determined exactly. The estimate depends on the one- and two-point microstructural correlations through the volume fractions of each constituent phase and the H-measures of the microstructure. Sample results for power-law random conductors are provided and compared with earlier predictions. The work concludes with a discussion on the possible extremal character of sequential laminates.
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: Ponte Castañeda, Pedro. University of Pennsylvania; Estados Unidos - Materia
-
Composites
Conductivity
Homogenization
H-Measures - 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:11336/23042
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spelling |
Estimates for two-phase nonlinear conductors via iterated homogenizationIdiart, Martín IgnacioPonte Castañeda, PedroCompositesConductivityHomogenizationH-Measureshttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2Estimates for the overall response of two-phase nonlinear conductors are derived via an iterated homogenization approach. The approach consists in the construction of sequentially laminated microgeometries for which the overall response can be determined exactly. The estimate depends on the one- and two-point microstructural correlations through the volume fractions of each constituent phase and the H-measures of the microstructure. Sample results for power-law random conductors are provided and compared with earlier predictions. The work concludes with a discussion on the possible extremal character of sequential laminates.Fil: Idiart, Martín Ignacio. Universidad Nacional de la Plata. Facultad de Ingeniería. Departamento de Aeronautica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ponte Castañeda, Pedro. University of Pennsylvania; Estados UnidosThe Royal Society2013-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/23042Idiart, Martín Ignacio; Ponte Castañeda, Pedro; Estimates for two-phase nonlinear conductors via iterated homogenization; The Royal Society; Proceedings Of The Royal Society Of London Series A-mathematical Physical And Engineering Sciences; 469; 2153; 2-2013; 1-171364-5021CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1098/rspa.2012.0626info:eu-repo/semantics/altIdentifier/url/http://rspa.royalsocietypublishing.org/content/469/2153/20120626info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:47:01Zoai:ri.conicet.gov.ar:11336/23042instacron: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 10:47:02.251CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Estimates for two-phase nonlinear conductors via iterated homogenization |
title |
Estimates for two-phase nonlinear conductors via iterated homogenization |
spellingShingle |
Estimates for two-phase nonlinear conductors via iterated homogenization Idiart, Martín Ignacio Composites Conductivity Homogenization H-Measures |
title_short |
Estimates for two-phase nonlinear conductors via iterated homogenization |
title_full |
Estimates for two-phase nonlinear conductors via iterated homogenization |
title_fullStr |
Estimates for two-phase nonlinear conductors via iterated homogenization |
title_full_unstemmed |
Estimates for two-phase nonlinear conductors via iterated homogenization |
title_sort |
Estimates for two-phase nonlinear conductors via iterated homogenization |
dc.creator.none.fl_str_mv |
Idiart, Martín Ignacio Ponte Castañeda, Pedro |
author |
Idiart, Martín Ignacio |
author_facet |
Idiart, Martín Ignacio Ponte Castañeda, Pedro |
author_role |
author |
author2 |
Ponte Castañeda, Pedro |
author2_role |
author |
dc.subject.none.fl_str_mv |
Composites Conductivity Homogenization H-Measures |
topic |
Composites Conductivity Homogenization H-Measures |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/2.3 https://purl.org/becyt/ford/2 |
dc.description.none.fl_txt_mv |
Estimates for the overall response of two-phase nonlinear conductors are derived via an iterated homogenization approach. The approach consists in the construction of sequentially laminated microgeometries for which the overall response can be determined exactly. The estimate depends on the one- and two-point microstructural correlations through the volume fractions of each constituent phase and the H-measures of the microstructure. Sample results for power-law random conductors are provided and compared with earlier predictions. The work concludes with a discussion on the possible extremal character of sequential laminates. 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: Ponte Castañeda, Pedro. University of Pennsylvania; Estados Unidos |
description |
Estimates for the overall response of two-phase nonlinear conductors are derived via an iterated homogenization approach. The approach consists in the construction of sequentially laminated microgeometries for which the overall response can be determined exactly. The estimate depends on the one- and two-point microstructural correlations through the volume fractions of each constituent phase and the H-measures of the microstructure. Sample results for power-law random conductors are provided and compared with earlier predictions. The work concludes with a discussion on the possible extremal character of sequential laminates. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-02 |
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/11336/23042 Idiart, Martín Ignacio; Ponte Castañeda, Pedro; Estimates for two-phase nonlinear conductors via iterated homogenization; The Royal Society; Proceedings Of The Royal Society Of London Series A-mathematical Physical And Engineering Sciences; 469; 2153; 2-2013; 1-17 1364-5021 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/23042 |
identifier_str_mv |
Idiart, Martín Ignacio; Ponte Castañeda, Pedro; Estimates for two-phase nonlinear conductors via iterated homogenization; The Royal Society; Proceedings Of The Royal Society Of London Series A-mathematical Physical And Engineering Sciences; 469; 2153; 2-2013; 1-17 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/doi/10.1098/rspa.2012.0626 info:eu-repo/semantics/altIdentifier/url/http://rspa.royalsocietypublishing.org/content/469/2153/20120626 |
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 |
_version_ |
1844614513301651456 |
score |
13.070432 |