Gavalas, George R. (2017) Comparison of effective conductivities calculated by the effective medium approximation and the self consistent approximation for core-shell particulate composites. AIP Advances, 7 (9). Art. No. 095222. ISSN 2158-3226 . https://resolver.caltech.edu/CaltechAUTHORS:20170929-120230481
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Abstract
The effective conductivity of composites containing simple or core-shell particles has been estimated in the literature using the Mean Field Approximation (MFA) and the Self-Consistent Approximation (SCA) among other techniques. It is shown here that for both simple and core-shell particles the two approximations agree to first order in the particle volume fraction but differ at the second order term. For simple particles the coefficient of the second order term calculated by SCA is at much better agreement with previous exact results than the coefficient calculated by MFA. For core-shell particles the results of the two approximations are almost identical up to particle volume fraction 0.20 but diverge with increasing volume fraction and particle-to-matrix conductivity ratio.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2017 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Received 7 August 2017; accepted 21 September 2017; published online 29 September 2017. | |||||||||
| Issue or Number: | 9 | |||||||||
| Record Number: | CaltechAUTHORS:20170929-120230481 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170929-120230481 | |||||||||
| Official Citation: | Comparison of effective conductivities calculated by the effective medium approximation and the self consistent approximation for core-shell particulate composites. George R. Gavalas. AIP Advances 2017 7(9):095222 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 81924 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 29 Sep 2017 20:55 | |||||||||
| Last Modified: | 03 Oct 2019 18:48 |
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