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

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 par...

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Detalles Bibliográficos
Autores principales: Ochoa, Ignacio, Idiart, Martín Ignacio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Ingeniería
Ingeniería Aeronáutica
Composites
Conductivity
Finite elements
Homogenization
Porosity
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/139665
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-139665
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
Ingeniería Aeronáutica
Composites
Conductivity
Finite elements
Homogenization
Porosity
spellingShingle Ingeniería
Ingeniería Aeronáutica
Composites
Conductivity
Finite elements
Homogenization
Porosity
Ochoa, Ignacio
Idiart, Martín Ignacio
Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
topic_facet Ingeniería
Ingeniería Aeronáutica
Composites
Conductivity
Finite elements
Homogenization
Porosity
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.
format Articulo
Articulo
author Ochoa, Ignacio
Idiart, Martín Ignacio
author_facet Ochoa, Ignacio
Idiart, Martín Ignacio
author_sort Ochoa, Ignacio
title Explicit estimates versus numerical bounds for the electrical conductivity of dispersions with dissimilar particle shape and distribution
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
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/139665
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