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A fractal-based model for the microstructure evolution of silicon bronze wires fabricated by dieless drawing

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Abstract

The back-propagation neural (BPN) network was proposed to model the relationship between the parameters of the dieless drawing process and the microstructures of the QSi3-1 silicon bronze alloy. Combined with image processing techniques, grain sizes and grain-boundary morphologies were respectively determined by the quantitative metallographic method and the fractal theory. The outcomes obtained show that the deformed microstructures exhibit typical fractal features, and the boundaries can be characterized quantitatively by fractal dimensions. With the temperature of 600–800°C and the drawing speed of 0.67–1.00 mm·s−1, either a lower temperature or a higher speed will cause a smaller grain size together with an elevated fractal dimension. The developed model can be capable for forecasting the microstructure evolution with a minimum error. The average relative errors between the predicted results and the experimental values of grain size and fractal dimension are 3.9% and 0.9%, respectively.

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Authors and Affiliations

  1. Key Laboratory of the Ministry of Education of China for Advanced Processing Technology of Materials, University of Science and Technology Beijing, Beijing, 100083, China

    Zhen Wang, Xue-feng Liu, Yong He & Jian-xin Xie

  2. State Key Laboratory for Advanced Metals and Materials, University of Science and Technology Beijing, Beijing, 100083, China

    Xue-feng Liu & Jian-xin Xie

Authors
  1. Zhen Wang
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  2. Xue-feng Liu
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  3. Yong He
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  4. Jian-xin Xie
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Correspondence to Jian-xin Xie.

Additional information

This work was financially supported by the National Basic Research Priorities Program of China (No.2006CB605200), the National Natural Science Foundation of China (Nos.50674008 and 50634010), the Program for New Century Excellent Talents in Chinese Universities (No.NCET-06-0083), and the Foundation of State Key Laboratory for Advanced Metals and Materials (No.2008Z-15)

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Wang, Z., Liu, Xf., He, Y. et al. A fractal-based model for the microstructure evolution of silicon bronze wires fabricated by dieless drawing. Int J Miner Metall Mater 17, 770–776 (2010). https://doi.org/10.1007/s12613-010-0387-4

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  • DOI: https://doi.org/10.1007/s12613-010-0387-4

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