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

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dc.creatorLiu, Chuang
dc.creatorJiang, Xiu-Lei
dc.creatorLiu, Tao
dc.creatorZhao, Ling
dc.creatorZhou, Wei-Xing
dc.creatorYuan, Wei-Kang
dc.date2008-07-15
dc.date.accessioned2026-07-07T12:23:30Z
dc.date.available2026-07-07T12:23:30Z
dc.descriptionThe 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.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0807.2307
dc.identifierhttp://arxiv.org/abs/0807.2307
dc.identifierApplied Surface Science 255, 4239-4245 (2009).
dc.identifierdoi:10.1016/j.apsusc.2008.11.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214010
dc.subjectMaterials Science
dc.titleMultifractal analysis of the fracture surfaces of foamed polypropylene/polyethylene blends
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