Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5364469 | Applied Surface Science | 2009 | 7 Pages |
Abstract
The two-dimensional multifractal detrended fluctuation analysis is applied to reveal the multifractal properties of the fracture surfaces of foamed polypropylene/polyethylene (PP/PE) blends at different temperatures. Nice power-law scaling relationship between the detrended fluctuation function Fq 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 Îα and the difference of dimension Îf. With the increase of the PE content, the fracture surface becomes more irregular and complex, as is manifested by the facts that Îα increases and Îf decreases from positive to negative. A qualitative interpretation is provided based on the foaming process.
Related Topics
Physical Sciences and Engineering
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Physical and Theoretical Chemistry
Authors
Chuang Liu, Xiu-Lei Jiang, Tao Liu, Ling Zhao, Wei-Xing Zhou, Wei-Kang Yuan,