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Development of the bifurcation theory for the microstructure changes and an application to the superalloys

Research Project

Project/Area Number 09450235
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Physical properties of metals
Research InstitutionNagoya Institute of Technology

Principal Investigator

MIYAZAKI Toru  Nagoya Institute of Technology, Vice President, 工学部, 副学長 (70024213)

Co-Investigator(Kenkyū-buntansha) MORIYA Takeshi  Nagoya Institute of Technology, Dept. of Mater. Sci. & Eng. Associate Professor, 工学部, 助教授 (40029525)
KOYAMA Toshiyuki  Nagoya Institute of Technology, Dept. of Mater. Sci. & Eng. Res. fellow, 工学部, 助手 (80225599)
KOZAKAI Takao  Nagoya Institute of Technology, Dept. of Mater. Sci. & Eng. Associate Professor, 工学部, 助教授 (80110253)
Project Period (FY) 1997 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥10,600,000 (Direct Cost: ¥10,600,000)
Fiscal Year 1999: ¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1998: ¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1997: ¥6,600,000 (Direct Cost: ¥6,600,000)
KeywordsNon-linear / Ostwald ripening / Elastic effect / Interfacial energy / Phase transformation / Pattern formation / Coarsening / Simulation / 組成傾斜 / 非線形
Research Abstract

Several interesting phenomena during microstructure evolution with aging have recently been observed when precipitate particles are elastically constrained. The typical exmples of the extraordinally behavior of the microstructure changes are 1) the deceleration of particle into several small particle. These phenomena have theoretically supported by "Shape Bifurcation Theory", proposed by us. In the present research, we study these interesting phenomena to get more wide range of experimental data and also to give more accurate theoretical background.
The results obtained are as follows ;
(1) The deceleration of particle coarsening is observed in Ni-Al-Ti alloy. The average particle size experimentally obtained when the coarsening rate started to slow down shows quite good agreement with the calculated value based on the shape bifurcation theory.
(2) In the coarsening of the GP zone in Al-Zn system, the deceleration of the growth rate is observed experimentally. This time dependent slow down of the growth rate is investigated by the computer simulation on the basis of the Cahn-Hilliard non-linear diffusion equation. The time evolution of the wave length in mottled microstructure containing GP zones is calculated quantitatively. The shape bifurcation theory combined with the kinetic analysis by means of the computer simulation will extremely be a useful method to investigate the static and dynamic stability of the complex microstructure changes.
(3) The morphological microstructure changes across the order/disorder phase transition line in the Fe-Si binary alloy is experimentally studied by using the "composition gradient method". The fine B2 domain structure was observed at the vicinity of the A2/B2 transition composition.

Report

(4 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (68 results)

All Other

All Publications (68 results)

  • [Publications] 宮崎亨: "計算組織学に関する最近の発展と将来展望"日本金属学会会報「まてりあ」. 36. 854-857 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 戸田佳明: "組織自由エネルギー理論に基づくNb-Zr合金の熱処理組織変化の新しい解析法"熱処理. 37. 36-41 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A. M. Mebed: "Computer Simulation of A2/B2 Second-Order Phase Transition Based upon the Khachaturyan":J. Mater. Sci.. 32. 5797-5804 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Miyazaki: "Computer Simulations of Pattern Formation in Thermodynamically Driven Microstructure Based on a Discrete Type Non-Linear Diffusion Equation"Proc. of Australiasia-Pacific Forum on Intelligent Processing & Manufacturing of Materials (IPMM '97). 724-730 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Miyazaki: "Experimental and Theoretical Invesigations on Phase Diagram of Fe-base Ternary Ordering Alloys"J. Chem. Phys.. 94. 844-848 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Miyazaki: "Computational Investigations on the Microstructure Formation in Metallic Materials Based upon the Phase Field Method"The Third Pacific Rim International Conference on Advanced Materials and Processing (PRICM3). 1225-1232 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A. M. Mebed: "Computer Simulation and Experimental Investigation of the Spinodal Decomposition in the βTi-Cr Binary Alloy System"Metall. Mater. Trans. A. 29A. 739-749 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Koyama: "Computer Simulation of Phase Decomposition in Two Dimensions Based on a Discrete Type Non-linear Diffusion Equation"Materials Trans. JIM. 39. 169-178 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 小林千悟: "組織形成に及ぼす組成傾斜の影響-エネルギー論、速度論的定量評価-"日本金属学会誌. 62. 648-652 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Toda: "An Analysis of the Phase Decomposition in Nb-Zr Alloy Based on the System Free Energy Theory"Mater. & Sci.& Eng. A. 255. 90-97 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 戸田佳昭: "亜共析鋼のフェライト・パーライト変態に対する組織自由エネルギー理論の応用"鉄と鋼. 84. 32-37 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 中川英樹: "マルテンサイト系析出硬化型ステンレス鋼の組織および機械的性質に及ぼす残留オーステナオト量の影響"鉄と鋼. 84. 363-368 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Kozakai: "Phase Separation and Phase Diagram in the Fe-Ge-V Ordered Alloys"Z. Metallkunde. 90. 44-49 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Kozakai: "Phase Equilibria in the Fe-Al-Co Ternary System at 923K"Z. Metalkunde. 90. 261-266 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H. Nakagawa: "Effect of Retained Austenite on the Microstructure and Mechanical Properties of Martensitic Precipitation Hardening Stainless Steel":J. Mater. Sci.. 34. 3901-3908 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 中川英樹: "マルテンサイト系ステンレス鋼におけるMs点予測モデルの妥当性に関する実験的検証"鉄と鋼. 85. 249-254 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 戸田佳昭: "Nb-Zr合金の相分解に及ぼす弾性拘束の影響"日本金属学会誌. 63. 422-428 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Miyazaki: "Determination of the Critical Nucleus size of Precipitates Using the Macroscopic Composition Gradient Method"Metal. Mater. Trans. A. 30A. 2783-278 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 小山敏幸: "Phase-field法による相分解組織形成の計算機シミュレーション"日本金属学会会報「まてりあ」. 38. 624-628 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A. M. Mebed: "A New Concept of the A2/B2 Phase Transformations Based upon Recent Experimental Investigations"Proc. of the International Conference on Solid-Solid Phase Transformation '99 (JIMIS-3). 61-64 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Miyazaki: "A New Evaluation Method of Phase Decomposition by Utilizing the Macroscopic Composition Gradient in Alloys"Proc. of the International Conference on Solid-Solid Phase Transformation '99 (JIMIS-3). 15-22 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y. Toda: "Analysis of Phase Decomposition During Annealing in the Nb-Zr System Using the System Free Energy Theory"Proc. of the International Conference on Solid-Solid Phase Transformation '99 (JIMIS-3). 245-248 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Koyama: "Computer Simulation of the Phase Decomposition in Real Alloy Systems Based on the Phase Field Method"Proc. of the International Conference on Solid-Solid Phase Transformation '99 (JIMIS-3). 733-736 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Kozakai: "Phase Equilibrium in the Fe-Co side of Fe-Ge-Co Ternary Ordering System"Proc. of the International Conference on Solid-Solid Phase Transformation '99 (JIMIS-3). 705-708 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Miyazaki: "Recent Developments and the Future for the Computer Simulation of Structural Transformation"Bullentin of Japan Inst. Metals. vol.36. 854-857 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Toda: "New Analytical Method for the Microstructure Formation of Nb-Zr Alloys Based on the Theory of System Free Energy"J. Japan. Soc. for Heat Treatment. vol.37. 36-41 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A.M.Mebed: "Computer Simulations of A2/B2 Second-Order phase Transition Nb-Zr Alloys Based on the Theory of System Free Energy"J.Mater.Sci.. vol.32. 5797-5804 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Miyazaki: "Computer Simulations of Pattern Formation in Thermodynamically Driven Microstructure Based on a Discrete Type Non-linear Diffusion Equation"Proc. of Australiasia-Pacific Forum on Intelligent Processing & Manufacturing of Materials (IPMM'97). 724-730 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Miyazaki: "Experimental and Theoretical Investigations on Phase Diagram of Fe-base Ternary Ordering Alloys"J. Chem. Phys.. vol.94. 844-848 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Miyazaki: "Computational Investigations on the Microstructure Formation in Metallic Material Based upon the Phase Field Method"The Third Pacific Rim International Conference on Advanced Materials and Processing (PRICM 3). 739-749 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A.M.Mebed: "Computer Simulation and Experimental Invetigation of the Spinodal Decomposition in the β Ti-Cr Binary Alloy System"Metall. Mater. Trans.. Vol. 29A. 739-749 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Koyama: "Computer Simulation and Phase Decomposition in Two Dimensions Based on a Discrete Type Non-linear Diffusion Equation"Materials Trans. JIM. vol.39. 169-178 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] S.Kobayashi: "Influence of Macroscopic Composition Gradient on Microstructure Formation -Quantitative Evaluation by Energetic and Kinetic Analysis"J. Japan Inst Matals. vol.62. 648-652 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Toda: "An Analysis of the Phase Decomposition in Nb-Zr ALloy Based on theSystem Free Energy Theory"Mater.Sci. & Eng.A. vol255. 90-97 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Toda: "An Application of the System Free Energy Theory to the Ferrite/Pearlite Transformation in Hypo-eutectoid Steel"Tetsu to Hagane. vol.84. 32-37 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Nakagawa: "Effect of the Amount of Retained Austenite on the Microstructures and Mechanical Properties of a Precipitation Hardening Martensitic Stainless Steel"Tetsu to Hagane. Vol.84. 363-368 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Kozakai: "Phase Separation and Phase Diagram in the Fe-Ge-V Ordered Alloys"Z. Metallkunde. Vol.90. 44-49 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Kozakai: "Phase Equilibria in the Fe-Al-Co Ternary System at 923K"Z. Metallkunde. Vol.90. 261-266 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Nakagawa: "Effect of Retained Austenite on the Microstructure and Mechanical Properties of Martensitic Precipitation Hardening Stainless Steel"J.Mater. Sci.. Vol.34. 3901-3908 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Nakagawa: "Experimental Examination of the Validity of the Model for Preciding Ms Temperature for Martensitic Stainless Steels"Tetsu to Hagane. Vol.85. 249-254 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Toda: "Effect of Elastic Constraint on Phase Decomposition in Nb-Zr Alloys"J. Japan Inst. Metals. Vol.63. 422-428 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Miyazaki: "Determination of the Critical Nucleus size of Precipitates using the Macroscopic Composition Gradient Method"Metal. Mater. Trans.A. Vol.30A. 2783-2789 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Koyama: "Computer Simulations of the Microstructure Changes based on the Phase-field Method"Bullentin of Japan Inst. Metals. Vol.38. 624-628 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] A.M.Mebed: "A New Concept of the A2/B2 Phase Transformations Based upon Recent Experimental Investigations"Proc. of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 61-64 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Miyazaki: "A New Evaluation Method of Phase Decomposition by Utilizing the Macroscopic Composition Gradient in Alloys"Proc. of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 15-22 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Y.Toda: "Analysis of Phase Decomposition During Annealing in the Nb-Zr System Using the System Free Energy Theory"Proc. of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 245-248 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Koyama: "Computer Simulation of the Phase Decomposition in Real Alloy Systems Based on the Phase Field Method"Proc. of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 733-736 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] H.Nakagawa: "Empirital Examination of the Validity for Martensitic Stainless Steels of the Model for Predicting Ms Temperature"Proc. of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 883-886 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Kozakai: "Phase Equilibrium in the Fe-Co side of Fe-Ge-Co Ternary Ordering System"Proc. of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 705-708 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T.Kozakai: "Phase Separation and Phase Diagram in the Fe-Ge-V Ordered Alloys"Z.Metallkunde. 90. 44-49 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Kozakai: "Phase Equilibria in the Fe-Al-Co Ternary System at 923K"Z.Metallkunde. 90. 261-266 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Nakagawa: "Effect of Retained Austenite on the Microstructure and Mechanical Properties of Martensitic Precipitation Hardening Stainless Steel":J.Mater.Sci.. 34. 3901-3908 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 中川英樹: "マルテンサイト系ステンレス鋼におけるMs点予測モデルの妥当性に関する実験的検証"鉄と鋼. 85. 249-254 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 戸田佳昭: "Nb-Zr合金の相分解に及ぼす弾性拘束の影響"日本金属学会誌. 63. 422-428 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Miyazaki: "Determination of the Critical Nucleus size of Precipitates Using the Macroscopic Composition Gradient Method"Metal.Mater.Trans.A. 30A. 2783-2789 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 小山敏幸: "Phase-field法による相分解組織形成の計算機シミュレーション"日本金属学会会報「まてりあ」. 38. 624-628 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] A.M.Mebed: "A New Concept of the A2/B2 Phase Transformations Based upon Recent Experimental Investigations"Proc.of International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 61-64 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T Miyazaki: "A New Evaluation Method of Phase Decomposition by Utilizing the Macroscopic Composition Gradient in Alloys"Proc.of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 15-22 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Toda: "Analysis of Phase Decomposition During Annealing in the Nb-Zr System Using the System Free Energy Theory"Proc.of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 245-248 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Koyama: "Computer Simulation of the Phase Decomposition in Real Alloy Systems Based on the Phase Field Method"Proc.of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 733-736 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Kozakai: "Phase Equilibrium in the Fe-Co side of Fe-Ge-Co Ternary Ordering System"Proc.of the International Conference on Solid-Solid Phase Transformation '99(JIMIS-3). 705-708 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 宮崎 亨: "計算組織学に関する最近の発展と将来展望" 日本金属学会会報「まてりあ」. 36. 854-857 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 宮崎 亨: "スピノ-ダル分解応用高性能合金の開発" 金属. 67. 395-403 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 戸田佳明: "組織自由エネルギー理論に基づくNb-Zr合金の熱処理組織変化の新しい解析法" 熱処理. 37. 36-41 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] A.M.Mebed: "Computer Simulation of A2/B2 Second-Order Phase Trasition Based upon the Khachaturyan Diffusion Equation." J.Mater.Sci.32. 5797-5804 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Miyazaki: "Computer Simulations of Pattern Formation in Thermodynamically Driven Microstructure Based on a Discrete Type Non-linear Diffusion Equation" Proc. of Australiasia-Pacific Forum on Intelligent Processing & Manufacturing of Materials (IPMM‘97). 724-730 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Koyama: "Computer Simulation of Phase Decomposition in Two Dimensions Based on a Discrete Type Non-linear Diffusion Equation" Materials Trans.JIM. 39. 169-178 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Miyazaki: "Experimental and Theoretical Investigations on Phase Diagram of Fe-base Ternary Ordering Alloys" J.Chem.Phys.94. 844-848 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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