Evaluation of Dispersion State of Electrically Conductive Resin with Fractal Dimension

Abstract

To determine the dispersion state of filler quantitatively in an electrically conductive resin, the image of the dispersion state on a cross section of the resin was fed into the personal conputer by image processor and the fractal dimension of dispersion state based on area ratio was calculated. The fractal dimensions was calculated for images of sixteen kinds and were compared each other. The results show that the fractal dimension was effective in quantitative representation of the dispersion state. We also tried to evaluate the electrical conductivity of electrically conductive resin with the fractal dimension. Electrical conductivity of electrically conductive resin could be related to the product of fractal dimension and length of filler. Prediction of the dispersion state was also tried by comparing the fractal dimension and the dimensionless number calculated from the data obtained during kneading.