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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/139665
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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 |
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/10915/139665 |
url |
http://sedici.unlp.edu.ar/handle/10915/139665 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
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) |
dc.format.none.fl_str_mv |
application/pdf 165-171 |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
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