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中文摘要：
通过将元胞自动机和有限差分方法相耦合,建立了立方体系金属和合金枝晶生长的三维模型.应用该模型,模拟了Al-Cu合金过冷熔体中自由枝晶的生长和定向凝固条件下Al-Cu合金凝固组织演变过程.模拟结果清楚展现了过冷熔体中自由枝晶的生长过程和定向凝固过程中枝晶的形成与淹没,与理论预测和实验结果相吻合,表明所发展的模型能够较准确地描述立方体系金属和合金的凝固组织演变过程.
英文摘要：
Perhaps dendrite is the most observed solidification microstructure of many metallic materials.The dendritic morphologies show a dominating effect on the performance of casting products.A lot of work has been carried out to investigate the formation mechanism of dendritic microstructure.It is found that the development of dendritic microstructures is a complicated process controlled by the interplay of many factors such as thermal and solute transfer,capillary etc.Cellular automaton（CA） can simulate the solidification process with a high computational efficiency,thus, attracts great attentions.In recent years,progress has been made on the two dimensional CA models for the solidification microstructure formation.But up to date researches on three dimensional CA model are very limited.A combined cellular automaton-finite difference（CA-FD） model for the three dimensional simulation of dendritic growth was developed in this paper.Simulations were performed to investigate the dendritic growth in an undercooled Al-Cu alloy as well as in a directionally solidified Al-Cu alloy.The numerical results showed clearly the development of the free dendrite in the undercooled melt and the microstructure evolution in the directionally solidified alloy and agreed well with the theoretical predictions and the experimental results.
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