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dc.contributor.author
Curto Sillamoni, Ignacio José
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dc.contributor.author
Idiart, Martín Ignacio
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dc.date.available
2018-08-09T20:20:22Z
dc.date.issued
2016-09
dc.identifier.citation
Curto Sillamoni, Ignacio José; Idiart, Martín Ignacio; Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates; IOP Publishing; Modelling And Simulation In Materials Science And Engineering; 24; 7; 9-2016; 1-16; 075008
dc.identifier.issn
0965-0393
dc.identifier.uri
http://hdl.handle.net/11336/54879
dc.description.abstract
We consider the transport of multiple ionic species by diffusion and migration through microstructured solid electrolytes in the presence of strong electric fields. The assumed constitutive relations for the constituent phases follow from convex energy and dissipation potentials which guarantee thermodynamic consistency. The effective response is heuristically deduced from a multi-scale convergence analysis of the relevant field equations. The resulting homogenized response involves an effective dissipation potential per species. Each potential is mathematically akin to that of a standard nonlinear heterogeneous conductor. A 'linear-comparison' homogenization technique is then used to generate estimates for these nonlinear potentials in terms of available estimates for corresponding linear conductors. By way of example, use is made of the Maxwell-Garnett and effective-medium linear approximations to generate estimates for two-phase systems with power-law dissipation. Explicit formulas are given for some limiting cases. In the case of threshold-type behavior, the estimates exhibit non-analytical dilute limits and seem to be consistent with fields localized in low energy paths.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Composites
dc.subject
Electrochemistry
dc.subject
Nonlinearity
dc.subject
Variational Methods
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-09T15:17:41Z
dc.journal.volume
24
dc.journal.number
7
dc.journal.pagination
1-16; 075008
dc.journal.pais
Reino Unido
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dc.journal.ciudad
Londres
dc.description.fil
Fil: Curto Sillamoni, Ignacio José. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
dc.description.fil
Fil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
dc.journal.title
Modelling And Simulation In Materials Science And Engineering
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/0965-0393/24/7/075008
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0965-0393/24/7/075008/meta
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