中文摘要：

连铸坯初始凝固坯壳一次枝晶生长过程中受力冲击是导致其不均匀生长的重要原因.本文采用元胞自动机法模拟连铸低碳钢（Fe-0.6 wt.%C）方坯初始凝固一次枝晶生长演变,并基于材料力学理论简化其为悬臂梁,计算实际浇铸熔体冲击下一次枝晶受力.研究表明,2—10 K 过冷度范围,枝晶尖端溶质浓度随过冷度增加稳步提升,过冷度每升高2 K,尖端最大浓度增加约0.07%.过冷度2—6 K范围,枝晶臂长度随过冷度上升显著增加；6—10 K范围,枝晶臂长度增幅稳定,生长速率约为0.08 mm·s-1.枝晶间熔体流速0.13—0.33 m·s-1时,过冷度增加使枝晶臂根部受力减轻,而恒定过冷度时根部受力则随一次枝晶长大持续增加.过冷度低于6 K或一次枝晶生长1s后,枝晶臂根部弯曲应力均超过临界断裂强度,极易诱发断裂而形成初始缺陷.

英文摘要：

The initial growing dendrite is influenced significantly by the complicated solidification conditions in continuously oscillating mold. The uneven growth of dendrite causes some defects seen commonly such as internal crack, subsurface porosity, subsurface inclusion and other defects of continuous casting billet. The induced initial defects in mold can be expanded and propagated in the following process such as secondary cooling, straightening, rolling and other subsequent handling procedure and then evolve into serious defects that can restrict the development and the quality refinement of final steel products. The mechanical stress caused by mold oscillation and the melt flowing is a crucial factor that leads to the uneven microstructure growth of initial solidifying shell in continuous casting mold. In this work, we simulate the growth and the morphology evolution of primary dendrites in mold area by using the cellular automaton （CA） method in combination with the actual conditions for continuously cast low carbon billet （Fe-0.6 wt.%C）. Further, the mechanical state of initial dendrite is analyzed by regarding primary dendrite as a cantilever beam and its mechanical stress is calculated by combining thermo-physical properties and flow rate of steel based on the principle of materials mechanics to shed light on the formation of initial defects formation in mold area of continuous casting process. The results show that the solute concentration of initial dendrite tip gradually increases with undercooling from 2 to 10 K, and the maximum concentration rises by 0.07% when the increment of undercooling is 2 K. The length of dendrite arm increases significantly with undercooling from 2 to 6 K. However, the length of dendrite arm remains steady in a stable growth rate of 0.08 mm·s-1 when the undercooling is enhanced from 6 to 10 K. The increase of undercooling reduces the bending stress at dendrite root when the flow rate of molten steel is improved from 0.13 to 0.33 m·s-1, while the mechanical stress continu