Solidification simulation for multi-phase systems using a phase-field model

使用相场模型进行多相系统的凝固模拟

• 批准号: 10650727
• 负责人: SUZUKI Toshio
• 金额: $ 2.18万
• 依托单位: the University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650727/
• 关键词: phase-field model; solidification; thin interface limit; multi-phase system; Fe-C alloy; interface; pertcle problem; numerical simulation; 凝固シミュレーション; 界面形状; 粒子―界面問題

The phase-filed model for alloy solidification has been generalized using free energy density functions and phase-field parameters are determined at thin interface limit. The validity of the newly developed model has been examined through the numerical analysis for Fe-C alloys. The isothermal dendrite growth has been analyzed and the obtained relationship between growth velocity and undercooling has been compared with the theoretical one based on marginal stability criterion. The model has been extended to multi-phase-field systems and the peritectic reaction during solidification of Fe-C alloys has been analyzed. The analysis for isothermal Ostwald ripening process has been also carried out and the wide potential of the present model has been demonstrated. As industrial applications, the model has been applied to the interface/particle problem. The interface shape around an insoluble particle has are numerically analyzed for Fe-C alloy and an alumina particle and it is shown that the interface becomes concave with increase of solute pile-up and the solidification ahead of the particle is delayed. The pushing force has been defined in relation to the deformation of the interface and the critical interface velocity for the pushing/engulfment transition for the system of Fe-C alloy and an alumina particle has been numerically determined as a function of particle diameter.

使用自由能密度函数概括了合金固化的相固定模型，并在薄界面极限下确定相位场参数。通过Fe-C合金的数值分析，已经检查了新开发的模型的有效性。已经分析了等温树突生长，并根据边际稳定性标准将生长速度与底层底层之间的关系与理论上的关系进行了比较。该模型已扩展到多相视野系统，并且已经分析了Fe-C合金固化过程中的临界反应。还已经进行了等温ostwald成熟过程的分析，并且已经证明了本模型的广泛潜力。作为工业应用，该模型已应用于接口/粒子问题。对不溶性粒子周围的界面形状进行了数值分析，用于Fe-C合金和氧化铝颗粒，并表明该界面随着溶质堆积的增加而变得凹入，并且粒子前面的固化延迟。推动力已被定义为界面的变形和Fe-C合金系统的推送/吞噬过渡的临界界面速度和氧化铝颗粒的临界速度已被数值确定为粒子直径的函数。

项目成果

M. Ode, T. Suzuki, S. G. Kim and W. T. Kim: "Phase-field Model for Solidification of Fe-C Alloys"Science and Technology of Advanced Materials. 1. (2000)

M. Ode、T. Suzuki、S. G. Kim 和 W. T. Kim：“Fe-C 合金凝固的相场模型”先进材料科学与技术。

M. Ode, T. Suzuki, S.G. Kim and W.T. Kim: "Phase-field Model for Solidification of Ternary Alloys"ISIJ International. 40. (2000)

M. Ode、T. Suzuki、S.G. Kim 和 W.T. Kim：“三元合金凝固的相场模型”ISIJ International。

J. S. Lee, S. G. Kim, W. T. Kim and T. Suzuki: "Numerical Simulation of Pertectic Reaction Using a Multi-phase-field Model"ISIJ International. 39. 730-736 (1999)

J. S. Lee、S. G. Kim、W. T. Kim 和 T. Suzuki：“使用多相场模型对 Pertectic 反应进行数值模拟”ISIJ International。

M. Ode, T. Suzuki, S.G. Kim and W.T. Kim: "Phase-field Model for Solidification of Fe-C Alloys"Science and Technology of Advanced Materials. 1. (2000)

M. Ode、T. Suzuki、S.G. Kim 和 W.T. Kim：“Fe-C 合金凝固的相场模型”先进材料科学与技术。

J.S.Lee,T.Suzuki: "Numerical Simulation of Isothermal Dendritic Growth by Phase-field Model" ISIJ International. 39・2. 246-252 (1999)

J.S.Lee、T.Suzuki：“通过相场模型进行等温枝晶生长的数值模拟”ISIJ International 39・2（1999）。