Estimates for two-phase nonlinear conductors via iterated homogenization

Autores
Idiart, Martín Ignacio; Castañeda, P.P.
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.
Facultad de Ingeniería
Materia
Ingeniería Mecánica
Composites
Conductivity
H-measures
Homogenization
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:10915/85578
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/85578
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Estimates for two-phase nonlinear conductors via iterated homogenizationIdiart, Martín IgnacioCastañeda, P.P.Ingeniería MecánicaCompositesConductivityH-measuresHomogenizationEstimates 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.Facultad de Ingeniería2013-05-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/85578enginfo:eu-repo/semantics/altIdentifier/issn/1364-5021info:eu-repo/semantics/altIdentifier/doi/10.1098/rspa.2012.0626info: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:UNLP2025-10-22T16:57:18Zoai:sedici.unlp.edu.ar:10915/85578Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 16:57:19.004SEDICI (UNLP) - Universidad Nacional de La Platafalse
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
Ingeniería Mecánica
Composites
Conductivity
H-measures
Homogenization
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
Castañeda, P.P.
author Idiart, Martín Ignacio
author_facet Idiart, Martín Ignacio
Castañeda, P.P.
author_role author
author2 Castañeda, P.P.
author2_role author
dc.subject.none.fl_str_mv Ingeniería Mecánica
Composites
Conductivity
H-measures
Homogenization
topic Ingeniería Mecánica
Composites
Conductivity
H-measures
Homogenization
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.
Facultad de Ingeniería
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 2013-05-08
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/10915/85578
url http://sedici.unlp.edu.ar/handle/10915/85578
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.2012.0626
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
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
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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score 12.982451

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