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| Application of fractal theory to study morphology of manganese sulfide inclusion in resulfurized free-cutting steels |
| Xiang-yu Xu1, Zhi-qi Zeng1,2, Qian-ren Tian1, Chen-wei Cao1, Ping Shen1, Jian-xun Fu1 |
1 Center for Advanced Solidification Technology (CAST); State Key Laboratory of Advanced Special Steel, School of Materials Science and Engineering, Shanghai University, Shanghai 200444, China
2 Baosight Software Co., Ltd., Information Service Headquarters, Shanghai 201203, China |
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Abstract The morphology and distribution of manganese sulfide (MnS) inclusions have a significant influence on the comprehensive performance, which is an important research field for resulfurized steels. Based on the experiments of non-aqueous electrolyte and scanning electron microscope observation, the fractal theory was employed to study the three-dimensional morphologies of MnS inclusions. The results showed that the edge fractal dimension of MnS inclusions was between 1.59 and 1.88. In addition, similar morphology of MnS inclusions had a close fractal dimension. The MnS edge fractal dimension is highly positively correlated with the morphological parameters. The multifractal spectrums of MnS inclusions on two-dimensional plane of as-cast and as-rolled resulfurized free-cutting steels were calculated. The large-size MnS inclusions belong to large probability subset, while the small-size MnS inclusions belong to small probability subset. The multifractal spectrum can truly and effectively reflect the difference and non-uniformity of distribution of MnS inclusions on 2D plane. On the premise of similar content of MnS, with the refinement of MnS inclusions, the multifractal spectrum width and the multifractal spectrum symmetry parameter were decreased. The multifractal spectrum provides a new method for studying the second phase in materials.
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Received: 11 January 2022
Published: 25 January 2023
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Xiang-yu Xu,Zhi-qi Zeng,Qian-ren Tian, et al. Application of fractal theory to study morphology of manganese sulfide inclusion in resulfurized free-cutting steels[J]. Journal of Iron and Steel Research International, 2023, 30(1): 137-149.
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2023, Vol. 30 
