An Application of Fractal Theory to Complex Macrostructure: Quantitatively Characterization of Segregation Morphology
An Application of Fractal Theory to Complex Macrostructure: Quantitatively Characterization of Segregation Morphology
复制标题
分形理论在复杂宏观结构中的应用：偏析形态的定量表征
DOI：
10.2355/isijinternational.isijint-2019-630
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发表时间：
2020-06
影响因子：
1.8
通讯作者：
Ping Tang
中科院分区：
文献类型：
--
作者：
Jianghai Cao;Zibing Hou;Zhongao Guo;Dongwei Guo;Zhiqiang Peng;Ping Tang
溶质元素的偏聚是合金凝固的固有特征。宏观/半宏观偏析严重影响最终产品的力学性能。高碳钢方坯是生产高端线材的重要基础材料，但由于其碳元素含量高、分配系数低，宏观/半宏观偏析较为严重。为精细控制高碳钢偏析缺陷，基于分形理论研究了82 B帘线钢连铸坯（含碳0.82wt%）偏析的形态特征。结果表明，偏析形态具有分形特征。分形维数的不同计算方法从不同角度描述了偏析特征，周长面积法（DPA）计算的分形维数可以定量表征偏析轮廓的复杂程度，而计盒法（D BC）计算的分形维数反映了偏析在铸坯中的空间分布特征。二次枝晶间距主要影响偏析形貌的复杂程度。局部凝固时间的立方根与DPA呈负相关（拟合系数为0.79）。这一结果证明了D PA作为估计SDAS测量困难的铸坯局部凝固时间的参数的潜力。
Segregation of solute elements is an inherent characteristic of alloy solidification. Macro/semi-macro segregation seriously affects the mechanical properties of the final products. High-carbon steel billets is an important base material for producing high-end rod wire, while macro/semi-macro segregation is more serious due to its high carbon element content and low distribution coefficient. In order to control the segregation defects of high-carbon steel delicately, the morphology characteristics of segregation in 82B cord steel billet (the carbon content is 0.82 wt%) produced by continuous casting were studied based on fractal theory. It is shown that segregation morphology has fractal characteristics. Different calculation methods of fractal dimension describe segregation characteristics from different angles; fractal dimension calculated by perimeter-area method ( D PA ) can quantitatively characterize the complexity of segregation profile, while fractal dimension calculated by the box-counting method ( D BC ) reflects the spatial distribution characteristics of segregation in billets. Secondary dendrite arm spacing (SDAS) mainly affects the complexity of segregation profile. In additional, negative-correlation is shown between D PA and cube root of local solidification time (the fitting coefficient is 0.79). This result demonstrated the potential of D PA as a parameter for estimating local solidification time of the billet in which the measurement of SDAS is difficult.
DOI：
10.31399/asm.tb.pdub.t53420429
发表时间：
2004
期刊：
--
影响因子：
--
作者：
D. Stefanescu
通讯作者：
D. Stefanescu
DOI：
10.31399/asm.hb.v09.a0003724
发表时间：
1990-06
期刊：
--
影响因子：
--
作者：
W. Kurz;D. Fisher
通讯作者：
W. Kurz;D. Fisher