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首页> 外文期刊>ISIJ international >Modeling of Macrosegregation and Solidification Grain Structures with a Coupled Cellular Automaton-Finite Element Model
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Modeling of Macrosegregation and Solidification Grain Structures with a Coupled Cellular Automaton-Finite Element Model

机译：耦合细胞自动机有限元模型对宏观偏析和凝固晶粒结构的建模

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摘要

A coupled Cellular Automaton (CA)-Finite Element (FE) model is presented for the prediction of solidification grain structures coupled with the calculation of solid and liquid flow induced macrosegregation. The model is applied to simulate the solidification of a Pb-48wt percent Sn alloy in a rectangular cavity cooled down from only one of its vertical boundaries. The algorithm and the numerical implementation of the coupling between the CA and FE methods are first validated by considering a single grain developing with no undercooling. Such a CAFE simulation is shown to retrieve the solution of a purely FE method simulation for which the grain structure is not accounted for. Several applications of the model are then presented to quantify the effects of the grain structure on the final macrosegregation map. In particular, the effect of the undercooling of the columnar front, the presence of equiaxed grains nucleated in the undercooled liquid, as well as the transport and sedimentation of equiaxed grains are investigated. Although good validation is reached when comparing computed and measured segregation profiles available in the literature for the chosen configuration, it is concluded that refined experimental data are required to further validate the predictions of a coupled CAFE model.
机译：提出了一种耦合元胞自动机（CA）-有限元（FE）模型，用于预测凝固晶粒结构，并计算了固液流动引起的宏观偏析。该模型可用于模拟矩形腔中从其垂直边界之一冷却下来的Pb-48wt％Sn合金的凝固过程。首先通过考虑没有过冷的单晶粒发展来验证CA和FE方法之间耦合的算法和数值实现。示出了这样的CAFE仿真，以检索不考虑晶粒结构的纯FE方法仿真的解决方案。然后提出该模型的几种应用，以量化晶粒结构对最终宏观偏析图的影响。特别地，研究了柱状前部的过冷，过冷液体中成核的等轴晶粒的存在以及等轴晶粒的运输和沉降的影响。尽管在比较文献中针对所选配置的计算和测量的偏析轮廓时可以达到很好的验证，但是可以得出结论，需要精炼的实验数据来进一步验证耦合CAFE模型的预测。

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