Multifractal analysis of the fracture surfaces of foamed polypropylene/polyethylene blends
arXiv:0807.2307 · doi:10.1016/j.apsusc.2008.11.014
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 and the scale is observed for different orders and the scaling exponent is found to be a nonlinear function of , confirming the presence of multifractality in the fracture surfaces. The multifractal spectra are obtained numerically through Legendre transform. The shape of the multifractal spectrum of singularities can be well captured by the width of spectrum and the difference of dimension . With the increase of the PE content, the fracture surface becomes more irregular and complex, as is manifested by the facts that increases and decreases from positive to negative. A qualitative interpretation is provided based on the foaming process.
arXiv comment8 pages
References in corpus (8)
- Multifractal detrended fluctuation analysis of nonstationary time series
- Detrended fluctuation analysis for fractals and multifractals in higher dimensions
- Long time correlations in Lagrangian dynamics: a key to intermittency in turbulence
- Anomalous Scaling of Fracture Surfaces
- Multifractal detrended fluctuation analysis of combustion flames in four-burner impinging entrained-flow gasifier
- Universal Scaling Properties in Large Assemblies of Simple Dynamical Units Driven by Long-Wave Random Forcing
- Scaling properties of pyrex and silicon surfaces blasted with sharp particles
- Shape complexity and fractality of fracture surfaces of swelled isotactic polypropylene with supercritical carbon dioxide