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Fractal Characteristics of Carbon Element Distribution along Casting Direction in Continuous Casting Billet

机译：连续铸坯铸造方向碳素分布分形特征

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The carbon element distributions along casting direction at centerline position,V-shaped segregation band and CET position in continuous casting billet have been first obtained by the OPA technology (Original Position Statistic Distribution Analysis).Different points at a certain position were formed along the opposite direction of casting direction with the lapse of the time,so the carbon mass fractions of different points at a certain position can be considered as a time series.For the reason that the Hurst exponents and the corresponding fractal dimensions of three time series are non-integers,these time series are characteristic of fractal in the studied scale.The Hurst exponents at three positions are more than 0.5 but less than 1.0.This result shows that formation process of carbon element distribution along casting direction in continuous casting billet can be described as Fractional Brownian Motion,and there is a positive long-range correlation between different points at a certain position.Moreover,as the Hurst exponent at V-shaped segregation band is the smallest and the most close to 0.5,the stochastic extent at this position is the largest.
机译：沿坯料具有由OPA技术被首先获得在连续铸造中心线位置，V形偏析带和CET位置铸造方向的碳分布元件在某一位置上（原位统计分布分析）。不同的点被沿着相对形成随着时间的推移铸造方向，因此在一定的位置不同的点的碳质量分数可被认为是一个时间series.For该Hurst指数和三个时间序列对应的分形维数是非的原因的方向整数，这些时间序列是在所研究的scale.The Hurst指数分形的特征在三个位置是超过0.5但小于1.0.This结果表明，沿连续铸造钢坯铸造方向碳元素分布的形成过程可以被描述为分数布朗运动，并有在CER不同点之间的正远程相关性覃position.Moreover，如在V形偏析带的Hurst指数是最小和最接近0.5，在该位置处的随机程度是最大的。

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