Composites Research

The Korean Society for Composite Materials (한국복합재료학회)
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Study on the numerical model of complex permittivity of composites based on the percolation theory

퍼콜레이션 이론에 기초한 복합재료의 복소 유전율 모델에 대한 연구

  • 김진봉 (한국기계연구원 부설 재료연구소 복합재료연구그룹) ;
  • 이상관 (한국기계연구원 부설 재료연구소 복합재료연구그룹) ;
  • 김천곤 (한국과학기술원 기계공학과 항공우주공학)
  • Published : 2009.06.30
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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.

본 논문에서는 퍼콜레이션 이론적 관점에 기초한 복소 유전율의 수치모델을 제시하고, 전기 전도성이 뛰어난 카본 블랙을 혼합한 유리섬유/에폭시 복합재료 적층판의 복소 유전율을 이용하여 이 깃을 검증하였다. 제시된 모델은 카본 블랙의 함유율이 퍼콜레이션 임계함유율 보다 높고, 주파수가 충분히 높아서 복합재료의 교류 전기전도도가 주파수에 비례하는 구간에서의 복소 유전율을 모사한다. 복합재료의 복소 유전율은 벡터회로망분석기와 7 mm 동축관을 이용하여 $0.5\;GHz\;{\sim}18\;GHz$ 대역에서 측정되었다. 제시된 모델은 퍼콜레이션 이론에서 유용하게 사용되는 축척(눈금잡이) 법칙의 함수형태와 실험을 통하여 구한 상수들로 구성되어 있으며, 복소 유전율을 주파수와 가본 블랙의 함유율의 함수로 나타내었다. 제시된 모델은 복소 유전율을 측정결과와의 비교를 통하여 검증되었다.

Keywords

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