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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/85578
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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:UNLP2025-09-29T11:16:30Zoai: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:13292025-09-29 11:16:31.025SEDICI (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 |
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SEDICI (UNLP) |
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Universidad Nacional de La Plata |
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UNLP |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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alira@sedici.unlp.edu.ar |
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