Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution

Autores
Ochoa, Ignacio; Idiart, Martín Ignacio
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An effective-medium theory for the electrical conductivity of Ohmic dispersions taking explicit account of particle shape and spatial distribution independently is available from the work of Ponte Castaneda and Willis [J Mech Phys Solids 43:1919–1951, 1996]. When both shape and distribution take particular “ellipsoidal” forms, the theory provides analytically explicit estimates. The purpose of the present work is to evaluate the predictive capabilities of these estimates when dispersions exhibit dissimilar particle shape and distribution. To this end, comparisons are made with numerical bounds for coated ellipsoid assemblages computed via the finite element method. It is found that estimates and bounds exhibit good agreement for the entire range of volume fractions, aspect ratios, and conductivity contrasts considered, including those limiting values corresponding to an isotropic distribution of circular cracks. The fact that the explicit estimates lie systematically within the numerical bounds hints at their possible realizability beyond the class of isotropic dispersions.
Facultad de Ingeniería
Materia
Ingeniería
Ingeniería Aeronáutica
Composites
Conductivity
Finite elements
Homogenization
Porosity
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/139665

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network_name_str SEDICI (UNLP)
spelling Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distributionOchoa, IgnacioIdiart, Martín IgnacioIngenieríaIngeniería AeronáuticaCompositesConductivityFinite elementsHomogenizationPorosityAn effective-medium theory for the electrical conductivity of Ohmic dispersions taking explicit account of particle shape and spatial distribution independently is available from the work of Ponte Castaneda and Willis [J Mech Phys Solids 43:1919–1951, 1996]. When both shape and distribution take particular “ellipsoidal” forms, the theory provides analytically explicit estimates. The purpose of the present work is to evaluate the predictive capabilities of these estimates when dispersions exhibit dissimilar particle shape and distribution. To this end, comparisons are made with numerical bounds for coated ellipsoid assemblages computed via the finite element method. It is found that estimates and bounds exhibit good agreement for the entire range of volume fractions, aspect ratios, and conductivity contrasts considered, including those limiting values corresponding to an isotropic distribution of circular cracks. The fact that the explicit estimates lie systematically within the numerical bounds hints at their possible realizability beyond the class of isotropic dispersions.Facultad de Ingeniería2020-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf165-171http://sedici.unlp.edu.ar/handle/10915/139665enginfo:eu-repo/semantics/altIdentifier/issn/0022-0833info:eu-repo/semantics/altIdentifier/issn/1573-2703info:eu-repo/semantics/altIdentifier/doi/10.1007/s10665-020-10060-9info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:06Zoai:sedici.unlp.edu.ar:10915/139665Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:07.23SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
title Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
spellingShingle Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
Ochoa, Ignacio
Ingeniería
Ingeniería Aeronáutica
Composites
Conductivity
Finite elements
Homogenization
Porosity
title_short Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
title_full Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
title_fullStr Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
title_full_unstemmed Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
title_sort Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
dc.creator.none.fl_str_mv Ochoa, Ignacio
Idiart, Martín Ignacio
author Ochoa, Ignacio
author_facet Ochoa, Ignacio
Idiart, Martín Ignacio
author_role author
author2 Idiart, Martín Ignacio
author2_role author
dc.subject.none.fl_str_mv Ingeniería
Ingeniería Aeronáutica
Composites
Conductivity
Finite elements
Homogenization
Porosity
topic Ingeniería
Ingeniería Aeronáutica
Composites
Conductivity
Finite elements
Homogenization
Porosity
dc.description.none.fl_txt_mv An effective-medium theory for the electrical conductivity of Ohmic dispersions taking explicit account of particle shape and spatial distribution independently is available from the work of Ponte Castaneda and Willis [J Mech Phys Solids 43:1919–1951, 1996]. When both shape and distribution take particular “ellipsoidal” forms, the theory provides analytically explicit estimates. The purpose of the present work is to evaluate the predictive capabilities of these estimates when dispersions exhibit dissimilar particle shape and distribution. To this end, comparisons are made with numerical bounds for coated ellipsoid assemblages computed via the finite element method. It is found that estimates and bounds exhibit good agreement for the entire range of volume fractions, aspect ratios, and conductivity contrasts considered, including those limiting values corresponding to an isotropic distribution of circular cracks. The fact that the explicit estimates lie systematically within the numerical bounds hints at their possible realizability beyond the class of isotropic dispersions.
Facultad de Ingeniería
description An effective-medium theory for the electrical conductivity of Ohmic dispersions taking explicit account of particle shape and spatial distribution independently is available from the work of Ponte Castaneda and Willis [J Mech Phys Solids 43:1919–1951, 1996]. When both shape and distribution take particular “ellipsoidal” forms, the theory provides analytically explicit estimates. The purpose of the present work is to evaluate the predictive capabilities of these estimates when dispersions exhibit dissimilar particle shape and distribution. To this end, comparisons are made with numerical bounds for coated ellipsoid assemblages computed via the finite element method. It is found that estimates and bounds exhibit good agreement for the entire range of volume fractions, aspect ratios, and conductivity contrasts considered, including those limiting values corresponding to an isotropic distribution of circular cracks. The fact that the explicit estimates lie systematically within the numerical bounds hints at their possible realizability beyond the class of isotropic dispersions.
publishDate 2020
dc.date.none.fl_str_mv 2020-08
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info:eu-repo/semantics/publishedVersion
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format article
status_str publishedVersion
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dc.language.none.fl_str_mv eng
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dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0022-0833
info:eu-repo/semantics/altIdentifier/issn/1573-2703
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10665-020-10060-9
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
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165-171
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reponame_str SEDICI (UNLP)
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instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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