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An Application of Fractal Theory to Complex Macrostructure: Quantitatively Characterization of Segregation Morphology

机译:分形理论对复杂大豆瘤的应用:分离形态的定量表征

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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.
机译:溶质元素的偏析是合金凝固的固有特征。宏/半宏观隔离严重影响最终产品的机械性能。高碳钢坯是生产高端杆线的重要基础材料,而宏/半宏观隔离由于其高碳元素含量和低分配系数,宏观/半宏观偏析更严重。为了控制高碳钢的分离缺陷,基于分形理论,研究了82B绳索钢坯中的偏析(碳含量为0.82wt%)的形态特征。结果表明,偏析形态具有分形特征。分形尺寸的不同计算方法描述了不同角度的分离特性;通过周边区域方法计算的分形尺寸( d_(pa))可以定量表征分离轮廓的复杂性,而通过盒子计数方法计算的分形尺寸( d_(bc))反映了空间分布特性坯料的隔离。二级树突式臂间距(SDAS)主要影响分离轮廓的复杂性。在额外的情况下,在局部凝固时间的 D_(PA)和立方体根部之间示出负相关(拟合系数为0.79)。这结果证明了 d_(pa)作为用于估计SDA测量的坯料的本地凝固时间的参数。

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