文献类型：期刊文献

英文题名：Multifractal analysis of the fracture surfaces of foamed polypropylene/polyethylene blends

作者：Liu, Chuang[1,2,3];Jiang, Xiu-Lei[1];Liu, Tao[1];Zhao, Ling[1];Zhou, Wei-Xing[1,2,3,4,5];Yuan, Wei-Kang[1,2]

机构：[1]E China Univ Sci & Technol, State Key Lab Chem Engn, Shanghai 200237, Peoples R China;[2]E China Univ Sci & Technol, Minist Educ, Engn Res Ctr Proc Syst Engn, Shanghai 200237, Peoples R China;[3]E China Univ Sci & Technol, Sch Business, Shanghai 200237, Peoples R China;[4]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China;[5]E China Univ Sci & Technol, Res Ctr Econophys, Shanghai 200237, Peoples R China

年份：2009

卷号：255

期号：7

起止页码：4239

外文期刊名：APPLIED SURFACE SCIENCE

收录：;EI(收录号：20090211848702);WOS:【SCI-EXPANDED(收录号:WOS:000262245500059)】；

基金：We are grateful to Zhi-Qiang Jiang and Gao-Feng Gu for discussions. This work was partly supported by the National Basic Research Program of China (No. 2004CB217703), the National Natural Science Foundation of China (Grant No. 50703011), the Program for Changjiang Scholars and Innovative Research Team in University (IRT0620), the Program for New Century Excellent Talents in University (NCET-07-0288), the NSFC/PetroChina through a major joint project on multiscale methodology (No. 20490200), and the Project Sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.

语种：英文

外文关键词：Fracture surface; Batch foaming; Multifractal detrended fluctuation analysis; Singularity spectrum; Complexity

摘要：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 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. (C) 2008 Elsevier B.V. All rights reserved.