Shape Bifurcation Theory on the Stability of Microstructure and its Applications

微观结构稳定性的形状分岔理论及其应用

• 批准号: 62460194
• 负责人: MIYAZAKI Toru
• 金额: $ 4.61万
• 依托单位: Nagoya Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1987
• 资助国家: 日本
• 起止时间: 1987 至 1988
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-62460194/
• 关键词: Interparticle elastic interaction; Surface energy; Bifurcation theory; Ostwald rippening; Elastic constraint; Standared deviation; Microstructure stability; 組織分岐

This project is concerned with the characteristic behaviours of the precipitate particles coarsening in elastically constrained alloy systems. The results obtained are as follows; splitting of a precipitate during coarsening, extremely small coarsening rate of precipitates, deceleration of coaresening rate for a given large size and the variations of the size distribution function f(r,t) with particle size and also volume fraction of precipitates, which means that f(r,t) can be no longer scaled in the elastically constrained systems. These facts are explained by the Bifurcation diagram theoretically given on the basis of the total energy of microstructure including the elastic interaction energy.A new type of phase decomposition associated with macroscopic non-uniformity of solute content was experimentally found and thermodynamically evaluated to be possible in elastically constrained systems.A new method to estimate the total free energy of the microstructure containing a chemical free energy, an elastic strain energy, an interfacial energy and so on was proposed, and then a possibility of predection to the microstructure development was discussed. Furtheremore a time-temperature-composition diagram named T-t-c system diagram was newly proposed. By using the system diagram the sequence of phase transformation and the microstructural development with progress of ageing can be comprehensively described.

该项目与弹性约束合金系统中的沉淀颗粒的特征行为有关。获得的结果如下；在浓缩，沉淀的浓缩速率极小，给定的大尺寸的变质速率减速以及尺寸分布函数f（r，t）的变化以及粒径的体积分数f（r，t）的变化，这意味着f（r，t）在弹性约束的系统中不再缩放f（r，t）。这些事实是由理论上的分叉图根据微观结构的总能量（包括弹性相互作用的能量）来解释的。一种与宏观非溶液含量的非均匀性相关的新型相位分解类型，在实验中被发现并进行了热力学的能量，以在弹性限制的系统中进行了弹性的自由度，以弹性的自由度进行了一种弹性的自由度。提出了界面能量等，然后讨论了微观结构发展的可能性。新提出了一个名为t-t-c系统图的时间温度组合图。通过使用系统图，可以全面地描述相变的顺序和衰老进展的微观结构发展。

项目成果

Miyazaki,toru: "Stability Bifurcationa in the Coarsening of Precipitates in Elastically Constrained Systems." Proceedings of The 3rd China-Japan Matal Physics ＆ Physical Matallurgy Symposium.21-25 (1988)

宫崎彻：“弹性约束系统中沉淀物粗化的稳定性分岔”。第三届中日金属物理与物理冶金研讨会论文集。21-25（1988）

宮崎亨: Metallurgical Abstracts on Light Metals and Alloys.21. (1988)

宫崎彻：轻金属和合金冶金文摘.21 (1988)。

土井稔: Proceedings of Inter.Symposium on "Dynamics of Ordering Processes in Condensed Matter.(1988)

Minoru Doi：“凝聚态有序过程动力学”国际研讨会论文集。(1988)

宮崎亨: 新材料創製討論会予稿集. 4. 32-37 (1987)

宫崎彻：新材料发展论坛论文集。4. 32-37 (1987)。

Miyazaki,toru: "Shape Bifurcation in Coarsening of the Precipitates in Elastically Constrained Systems." Metallurgical Abstracts on Light Metals and Alloys.21. (1988)

宫崎彻：“弹性约束系统中沉淀物粗化的形状分岔。”