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arXiv · 0807.2307

Multifractal analysis of the fracture surfaces of foamed polypropylene/polyethylene blends

Chuang Liu·Xiu-Lei Jiang·Tao Liu·Ling Zhao·Wei-Xing Zhou·Wei-Kang Yuan
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Abstract

The two-dimensional multifractal detrended fluctuation analysis is applied to reveal the multifractal properties of the fracture surfaces of foamed polypropylene/polyethylene blends at different temperatures. Nice power-law scaling relationship between the detrended fluctuation function $F_{q}$ and the scale $s$ is observed for different orders $q$ and the scaling exponent $h(q)$ is found to be a nonlinear function of $q$, confirming the presence of multifractality in the fracture surfaces. The multifractal spectra $f(α)$ are obtained numerically through Legendre transform. The shape of the multifractal spectrum of singularities can be well captured by the width of spectrum $Δα$ and the difference of dimension $Δf$. With the increase of the PE content, the fracture surface becomes more irregular and complex, as is manifested by the facts that $Δα$ increases and $Δf$ decreases from positive to negative. A qualitative interpretation is provided based on the foaming process.

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Chuang Liu, Xiu-Lei Jiang, Tao Liu, Ling Zhao, Wei-Xing Zhou, Wei-Kang Yuan. 2008-07-15. Multifractal analysis of the fracture surfaces of foamed polypropylene/polyethylene blends. https://doi.org/10.1016/j.apsusc.2008.11.014

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