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Materials 2013, 6(11), 5367-5381; doi:10.3390/ma6115367

Equivalent Electromagnetic Constants for Microwave Application to Composite Materials for the Multi-Scale Problem

1,*  and 1,2
1 Toyota Technological Institute, 2-12-1 Hisakata, Tenpaku-ku, Nagoya-city 468-8511, Japan 2 Kojima Press Industry Co. Ltd., 15 Hirokuden, Ukigai-cho, Miyoshi-city 470-0207, Japan
* Author to whom correspondence should be addressed.
Received: 31 July 2013 / Revised: 18 October 2013 / Accepted: 8 November 2013 / Published: 21 November 2013
(This article belongs to the Special Issue Microwave Processing of Materials)
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To connect different scale models in the multi-scale problem of microwave use, equivalent material constants were researched numerically by a three-dimensional electromagnetic field, taking into account eddy current and displacement current. A volume averaged method and a standing wave method were used to introduce the equivalent material constants; water particles and aluminum particles are used as composite materials. Consumed electrical power is used for the evaluation. Water particles have the same equivalent material constants for both methods; the same electrical power is obtained for both the precise model (micro-model) and the homogeneous model (macro-model). However, aluminum particles have dissimilar equivalent material constants for both methods; different electric power is obtained for both models. The varying electromagnetic phenomena are derived from the expression of eddy current. For small electrical conductivity such as water, the macro-current which flows in the macro-model and the micro-current which flows in the micro-model express the same electromagnetic phenomena. However, for large electrical conductivity such as aluminum, the macro-current and micro-current express different electromagnetic phenomena. The eddy current which is observed in the micro-model is not expressed by the macro-model. Therefore, the equivalent material constant derived from the volume averaged method and the standing wave method is applicable to water with a small electrical conductivity, although not applicable to aluminum with a large electrical conductivity.
Keywords: multi-scale; equivalent material constant; eddy current; electrical conductivity multi-scale; equivalent material constant; eddy current; electrical conductivity
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Fujisaki, K.; Ikeda, T. Equivalent Electromagnetic Constants for Microwave Application to Composite Materials for the Multi-Scale Problem. Materials 2013, 6, 5367-5381.

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