Physics – Condensed Matter – Materials Science
Scientific paper
2008-07-15
Applied Surface Science 255, 4239-4245 (2009).
Physics
Condensed Matter
Materials Science
8 pages
Scientific paper
10.1016/j.apsusc.2008.11.014
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 $f(\alpha)$ are obtained numerically through Legendre transform. The shape of the multifractal spectrum of singularities can be well captured by the width of spectrum $\Delta\alpha$ and the difference of dimension $\Delta f$. With the increase of the PE content, the fracture surface becomes more irregular and complex, as is manifested by the facts that $\Delta\alpha$ increases and $\Delta f$ decreases from positive to negative. A qualitative interpretation is provided based on the foaming process.
Jiang Xiu-Lei
Liu Chuang
Liu Tao
Yuan Wei-Kang
Zhao Ling
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