Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
Modelling and Simulation in Materials Science and Engineering, ISSN: 1361-651X, Vol: 24, Issue: 7
2016
- 2Citations
- 4Captures
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Article Description
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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84991759480&origin=inward; http://dx.doi.org/10.1088/0965-0393/24/7/075008; https://iopscience.iop.org/article/10.1088/0965-0393/24/7/075008; http://stacks.iop.org/0965-0393/24/i=7/a=075008/pdf; http://stacks.iop.org/0965-0393/24/i=7/a=075008?key=crossref.bd6a39dd4fc8ec770d4d6f13b7b07a14; https://dx.doi.org/10.1088/0965-0393/24/7/075008; https://validate.perfdrive.com/9730847aceed30627ebd520e46ee70b2/?ssa=aadb7bb6-1ff1-4022-b814-77be5dd8de23&ssb=82640297210&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F0965-0393%2F24%2F7%2F075008&ssi=ee56006d-cnvj-4695-8906-04a7024fb1c5&ssk=botmanager_support@radware.com&ssm=750400536275010371159930369590816773&ssn=73115c5d977e7f5bc558e1d095fd99a72516fe105911-65fe-48dc-8fe660&sso=c6622150-9319bfde79b5cadca99d6346f6b07b0ecc94b68f5574f4b4&ssp=25809607421726286156172634024694325&ssq=99381417900130554227863731557105364672811&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDBmY2NjNzQxOC1mYzFiLTRjNmEtODMwYS1iMjY5YmYxNWM5NTIxNzI2MjYzNzMxNDQwMTE1MjcwMTI2LTQ5MGZhNjI0MDJhNGUwZDMxMTU5NzgiLCJyZCI6ImlvcC5vcmciLCJ1em14IjoiN2Y5MDAwMzZjZDcxYjQtYzE1Yy00OTVhLWFjNjEtNTM4YWIxMWM0ZjdhMy0xNzI2MjYzNzMxNDQwMTE1MjcwMTI2LWU4N2YzZWQ4MGYwODkyNzMxMTU5NjYifQ==
IOP Publishing
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know