Multirange Fractal Analysis of Discontinuous Microstructure Change of In-40wt.%Sn Melt

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Abstract:

Fractal analysis based on results of high temperature X-ray diffraction experiment was used to study the temporal-spatial properties of particles in In-40wt.%Sn melt. Partially-overlapping multirange fractal structure is observed in In-40wt.%Sn melt, and as temperature decreases from 800°C to 130°C, low fractal dimension was found to range between 2.000 and 2.669, high fractal dimension is still 3.000 without alteration. Moreover, low fractal dimension reveals a discontinuous change between 600°C and 700°C. Fractal characteristics of In-40wt.%Sn melt were correlated with the evolution of microstructure. The discussion was made in detail. Multirange fractal model was proposed to calculate transition region curves of multirange fractals. The results show that values of simulation show good agreement with experimental values, the maximum error is less than 1.3%. From the analysis, the range of the transition region between two fractal regions is speculated to be related with structure properties of metal melts. In addition, ultrafine particles’ aggregation mechanism was used to analyze the fractal morphologies. Keywords: multirange fractal; In-40wt.%Sn melt; microstructure change; X-ray diffraction.

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Materials Science Forum (Volumes 704-705)

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1055-1060

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December 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] J. Feder: Fractals (Plenum, New York 1988).

Google Scholar

[2] B. B. Mandelbrot: Fractal: Form, Chance and Dimension (Freeman, SanFrancisco 1977).

Google Scholar

[3] A.P. Xagas, E. Androulaki, A. Hiskia and P. Falaras: Thin Solid Films Vol. 357 (1999), p.173.

DOI: 10.1016/s0040-6090(99)00561-1

Google Scholar

[4] A. Chmel, Natalia Gorobey and A. Lukianenko: Journal of Non-Crystalline Solids Vol. 351 (2005), p.576.

DOI: 10.1016/j.jnoncrysol.2004.08.270

Google Scholar

[5] G. H. Ding and F. Q. Zu: Phys. Lett. A Vol. 369 (2007), p.503.

Google Scholar

[6] T. Iida and R. I. L. Guthrie: The Physical Properties of Liquid Metals (Clarendon, Oxford 1993).

Google Scholar

[7] C. S. Liu, G. X. Li, Y. F. Liang and A. Q. Wu: Phys. Rev. B Vol. 71 (2005), p.064204.

Google Scholar

[8] C. W. Lung: Materials Science and Engineering Vol. A176 (1994), p.299.

Google Scholar

[9] Y. Zhao, X.F. Bian, X.B. Qin, J. Y Qin and X.X. Hou: J. Non-Cryst. Solids Vol. 353 (2007), p.1177.

Google Scholar

[10] S. Morioka: J. Non-Cryst. Solids Vol. 46 (2004), p.341.

Google Scholar

[11] F. Q. Zu, Z. G. Zhu, L. J. Guo, X. B. Qin, H. Yang, and W. J. Shan : Phys. Rev. Lett. Vol. 89 (2002), p.125505.

Google Scholar

[12] Z. R. Yang: Fractal Physics (Shanghai Scientific and Technological Education Publishing House, Shanghai 1996).

Google Scholar