The Use of Fractal Dimension in Characterizing Tree Growth in Filled Epoxy Resin under Humid Condition

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  • Kurnianto Rudi
    Department of Electronic and Information Engineering., Toyohashi University of Technology
  • Murakami Yoshinobu
    Department of Electronic and Information Engineering., Toyohashi University of Technology
  • Hozumi Naohiro
    Department of Electronic and Information Engineering., Toyohashi University of Technology
  • Nagao Masayuki
    Department of Electronic and Information Engineering., Toyohashi University of Technology

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  • The Use Fractal Dimension in Characterizing Tree Growth in Filled Epoxy Resin under Humid Condition
  • Use Fractal Dimension in Characterizing Tree Growth in Filled Epoxy Resin under Humid Condition

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Abstract

The structural response of tree growth in epoxy resin blended with silica filler has been investigated. The physical properties of the resin were varied by changing its filler content and exposing to humid air. The fractal dimension of the electrical tree and its relationship with filler content and humidity were determined. The damaged area of tree in various contents of filler was also estimated. It is considered that the filler would create such an obstruction to the tree growth both in humid and dry conditions. At the ambient condition, the more filler content, the more obstruction would be generated, leading to the significant suppression of tree growth. Likewise, the introduction of filler brought a rise in fractal dimension due to the increase of branches. It is concluded that the existence of filler makes the tree structure more complicated by introducing obstacles to tree propagation, leading to the high fractal dimension of the tree. In addition, it was found that the fractal dimension of the tree was very relational to the fractal dimension of the composite material including filler particles.

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