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
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/23042
Acceder
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network_name_str CONICET Digital (CONICET)
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 Técnicas2025-10-22T12:20:26Zoai: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:34982025-10-22 12:20:26.55CONICET 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_ 1846782651324694528
score 12.982451

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