低硅烧结矿表面的多重分形谱计算和分析

钢铁研究学报, 2014, 26(4): 29-32.

低硅烧结矿表面的多重分形谱计算和分析

崔志敏 ^1, , 李秀景 ^2, , 陈颖 ^3, , 张庆军 ^4, , 张玉柱 ^5,

1.河北联合大学分析测试中心,河北唐山063009

2.河北钢铁集团唐山分公司,河北唐山063000

3.河北联合大学分析测试中心,河北唐山063009

4.河北联合大学分析测试中心,河北唐山063009

5.河北联合大学冶金与能源学院,河北唐山063009

基金项目: 国家自然科学基金资助项目(50974052)

关键词：烧结矿 , 多重分形 , 孔隙率 , 单重分形 , 碱度

Calculation and Analysis of Multifractal Spectrum of Low Silicon Sinter

CUI Zhi-min ^1, , LI Xiu-jing ^2, , CHEN Ying ^3, , ZHANG Qing-jun ^4, , ZHANG Yu-zhu ^5,

1.河北联合大学分析测试中心,河北唐山063009

2.河北钢铁集团唐山分公司,河北唐山063000

3.河北联合大学分析测试中心,河北唐山063009

4.河北联合大学分析测试中心,河北唐山063009

5.河北联合大学冶金与能源学院,河北唐山063009

Keywords： sinter , multifractal , porosity , single fractal , basicity

通过烧结杯试验制备了不同碱度的低硅烧结矿样品.利用SEM(扫描电子显微镜)对样品的表面形貌进行了表征.利用多重分形软件计算不同碱度烧结矿的多重分形谱.随着碱度提高,多重分形谱的宽度增加,烧结矿的表面形貌变得更加复杂,与SEM图像一致;多重分形谱最大和最小概率子集维数的差别减小,并且由正值变为负值,烧结矿孔隙由以宏观孔隙为主变为以微观孔隙为主,孔隙率提高.多重分形谱的计算结果定量地表征了烧结矿孔隙的分布形态,与扫描电镜图像结果一致.

参考文献

[1]	Virendra S Warke;Richard D Sisson Jr et al.The Effect of Porosity on the Austenite to Ferrite Transformation in Powder Metallurgy Steels[J].Materials Science and Engineering,2011,528A:3533.
[2]	Iasef Md Rian;Jin-Ho Park;Hyung Uk Ahn;Dongkuk Chang .Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho[J].Building and environment,2007(12):4093-4107.
[3]	Olsen L;Winter S .Multifractal Analysis of Divergence Points of Deformed Measure Theoretical Birkhoff Averages[J].Bulletin des Sciences Mathématiques,2007,131(06):518.
[4]	Jakubowicz J;Smardz K;Smardz L .Characterization of porous silicon prepared by powder technology[J].Physica, E. Low-dimensional systems & nanostructures,2007(1/2):139-143.
[5]	Leonenko, N.;Petherick, S.;Taufer, E. .Multifractal models via products of geometric OU-processes: Review and applications[J].Physica, A. Statistical mechanics and its applications,2013(1):7-16.
[6]	Feng, D.-J. .Multifractal analysis of Bernoulli convolutions associated with Salem numbers[J].Advances in Mathematics,2012(5):3052-3077.
[7]	J.W.G. Stenico;F.H.T. Vieira;L.L. Lee .Estimation of loss probability and the admissible number of users in a network link considering a lognormal multifractal traffic model with exponential variance[J].Measurement,2013(10):3929-3941.
[8]	Wang Jing;Shang Pengjian;Dong Keqiang .Effect of Linear and Nonlinear Filters on Multifractal Analysis[J].Applied Mathematics and Computation,2013,224:337.
[9]	Grech, D.;Pamu?a, G. .On the multifractal effects generated by monofractal signals[J].Physica, A. Statistical mechanics and its applications,2013(23):5845-5864.
[10]	Atupelage,C.;Nagahashi,H.;Yamaguchi,M.;Abe,T.;Hashiguchi,A.;Sakamoto,M. .Computational grading of hepatocellular carcinoma using multifractal feature description[J].Computerized Medical Imaging and Graphics: The Official Jounal of the Computerized Medical Imaging Society,2013(1):61-71.

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