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http://dx.doi.org/10.7234/kscm.2009.22.3.044

Study on the numerical model of complex permittivity of composites based on the percolation theory  

Kim, Jin-Bong (한국기계연구원 부설 재료연구소 복합재료연구그룹)
Lee, Sang-Kwan (한국기계연구원 부설 재료연구소 복합재료연구그룹)
Kim, Chun-Gon (한국과학기술원 기계공학과 항공우주공학)
Publication Information
Composites Research / v.22, no.3, 2009 , pp. 44-54 More about this Journal
Abstract
In this paper, we proposed a numerical model the complex permittivity for the E-glass fabric/epoxy composite laminate containing electrical conductive carbon black. The model is based on the percolation theory and for the composites over than the percolation threshold and in higher frequency band in that the AC conductivity is fully proportional to the frequency. The measurement for the complex permittivity wasperformed at the frequency band of 0.5 GHz $\sim$ 18.0 GHz using a vector network analyzer with a 7 mm coaxial air line. The proposed model is composed of the numerical equations of the scaling law used in percolation theory and constants obtained from experiments to quantify the model itself. The model describes the complex permittivity as the function of frequency and filler concentration. The model was verified by being compared with the measurements.
Keywords
Dielectric constant; Conductivity; Carbon black; Composite; Numerical model; Microwave; Complex permittivity; Percolation;
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