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The Application of the Bifurcation Theory to the Stability of Microstructure and the Improvement of the Superalloys.

Research Project

Project/Area Number 07455280
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Structural/Functional materials
Research InstitutionNagoya Institute of Technology

Principal Investigator

MIYAZAKI Toru  Nagoya Institute of Technology Dept.of Mater.Sci.& Eng.Professor, 工学部, 教授 (70024213)

Co-Investigator(Kenkyū-buntansha) MORIYA Takeshi  Nagoya Institute of Technology Dept.of Physics.Associate Professor, 工学部, 助教授 (40029525)
KOYAMA Toshiyuki  Nagoya Institute of Technology Dept.of Mater.Sci.& Eng.Rese.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) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥7,600,000 (Direct Cost: ¥7,600,000)
Fiscal Year 1996: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1995: ¥5,700,000 (Direct Cost: ¥5,700,000)
KeywordsElastic interaction / Bifurcation theory / Ostwald ripening / Elastic constraint / Interfacial energy / Particle size distribution / Stability of microstructure / Microstructure change
Research Abstract

Several interesting phenomena for the formation of microstructure have recently been observed when the materials are elastically constrained. Particularly, the extraordinary behavior in the precipitate coarsening ; deceleration of particle coarsening and splitting of a particle into small ones are typical examples. These phenomena have theoretically supported by "bifurcation theory". In the practical point of view, these phenomena predict an existence of non-over aging materials. The purpose of the present work is to get more wide range information for these phenomena experimentally, and also to give more accurate theoretical background. The results obtained are as follows.
(1) Splitting of a particle was newly recognized in Ni-Mo and Fe-Al-Co alloy systems. However, the shapechanging rate of split particles in Fe-Al-Co was remarkably fast. Results from the energetic estimation for the sequence of the particle splitting, the splitting path experimentally observed was consistent with min … More imum-energy path predicted by the theoretical calculation
(2) We proposed a new experimental method to investigate the composition dependent phenomena in materials science based on the observation of microstructure changes in a continuous composition gradient field. Utilizing this new method, the equilibrium compositions at the interface of precipitate/matrix could experimentally be obtained for various particle sizes, and thus the Gibbs-Thomson's relation, which is the fundamental low in the precipitates coarsening, was verified experimentally.
(3) A new calculation method for the nonlinear diffusion equation was proposed, where the composition dependencies of atomic interaction energy, elasticity and mobility of atoms were taken into account so as to be able to calculate the phase decomposition in the real alloy system. The two dimensional simulations were performed for the phase decomposition in the Fe-Mo binary system. The microstructures calculated were well coincident with experimental facts, and typical features in the strain-induced microstructure changes were successfully calculated. Less

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (38 results)

All Other

All Publications (38 results)

  • [Publications] T.Miyazaki: "A New Characterization Method of the Microstructure Using the Macroscopic Composition Gradient in Alloys." Metall. And Mater. Trans.27A. 945-949 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: "Computer Simulations of Phase Decomposition in Real Alloy Systems Based on a Discrete Type Diffusion Equation" Mathematics of Microstructure Evolution. (Proc. of the Inter. Symp. on Math. of Therm. Driven Microst. Evolution). 111-124 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Doi,: "Transmission Electron Microscopy Observations of the Splits of D0_3 and B2 Precipitates in Fe-Based Alloys." Phil. Mag. Let.331-336 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: "Computer Simulations of Phase Decomposition in Real Alloy Systems Based upon a Discrete Type Non-Linear Diffusion Equation." Proc. of the Inter. Symp. on Metal. and Mater. of Non-Ferrous Metal and Alloys. 382-387 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Koyama: "Computer Simulations of Phase Decomposition in Real Alloy Systems Based on a Discrete Type Diffusion Equation." Proc. of the Inter. Conf. on Model. and Sim. in Metall. Eng. and Metals Sci. (MSMM ′96). 206-211 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 小山敏幸: "離散型拡散方程式に基づく相分解過程の数値計算法" 日本金属学会誌. 60. 553-559 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 小山敏幸: "離散型拡散方程式に基づくFe-Mo合金の相分解シミュレーション" 日本金属学会誌. 60. 560-568 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Moriya: "Mossbauer Study on the Phase Separation of Fe-Co-Si Alloys" Mater. Trans. JIM. 37. 965-969 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 小林千悟: "組成傾斜を利用したNi-VおよびNi-Mo整合相境界の決定" 日本金属学会誌. 60. 22-28 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based on a Discrete Type Diffusion Equation"" Math.of Mecrost.Evolution (Proc.of the Inter.Symp.on Math of Therm.Driven Microst.Evolution [The TMS Fall Meeting '95]). 111-124 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Doi: ""Transmission Electron Microscopy Observations of the Splits of D0_3 and B2 Precipitates in Fe-Based Alloys."" Phil.Mag.Let.Vol.73. 331-336 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based upon a Discrete Type Non-Linear Diffusion Equation."" "Proc.of the Inter.Symp.on Metal.and Mater.of Non-Ferrous Metal and Alloys". 382-387 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Koyama: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based on a Discrete Type Diffusion Equation."" Proc.of the Inter.Conf.on Model.and Sim.in Metall.Eng.and Metals Sci. (MSMM '96). 206-211 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Koyama: ""A Numerical Calculation of Phase Decomposition Process Based on Discrete Type Diffusion Equation"" J.Japan Inst.Matals. Vol.60. 553-559 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Koyama: ""Computer Simulation of Phase Decomposition in Fe-Mo Alloy Based on Discrete Type Diffusion Equation"" J.Japan Inst.Matals. Vol.60. 560-568 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: ""A New Characterization Method of the Microstructure Using the Macroscopic Composition Gradient in Alloys"" Metall.And Mater.Trans.Vol.27A. 945-949 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Moriya: ""Mossbauer Study on the Phase Separation of Fe-Co-Si Alloys"" Mater.Trans.JIM. Vol.37. 965-969 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] S.Kobayashi: ""Determination of Coherent Phase Boundaries in Ni-V and Ni-Mo Alloys by Utilizing macroscopic Composition Gradient"" J.Japan Inst.Matals. Vol.60. 22-28 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Koyama: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based on the Modified Khachaturyan Diffusion Equation."" Metall.And Mater.Trans.Vol.26A. 434-442 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: ""Stability Bifurcation of precipitates in Elastically Constrained System"" Bull.of the Japan Inst.of Met.Vol.34. 9-16 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based upon the Modified Khachaturyan's Diffusion Equation"" Bull.of the Japan Inst.of Met.Vol.34. 434-442 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Kozakai: ""Experimental and theoretical phase diagrams of the iron-rich Fe-Si-Ge"" J.Materials Science. Vol.30. 5056-5064 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: ""Development of 4GPa Ultra High Strength Maraging Steels by Utilizing Spinodal Decomposition"" Proc.of Inter.Symp.On Phase.Trans.During Therm./Mech.Processing of Steel. 473-483 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: ""A new Evaluation Method of Phase Decomposition by Utilizing the Macroscopic Composition Gradient in Alloys"" ANNALES DE PHYSIQUE. Colloque C3, supplement au n3 Vol.20. 119-126 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Miyazaki: ""A New Characterization Method of the Microstructure Using the Macroscopic Composition Gradient in Alloys."" Metall.And Mater.Trans.27A. 945-949 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Miyazaki: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based on a Discrete Type Diffusion Equation"" Mathematics of Microstructure Evolution. (Proc.of the Inter.Symp.on Math.of Therm.Driven Microst.Evolution). 111-124 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] M.Doi,: ""Transmission Electron Microscopy Observations of the Splits of D0_3 and B2 Precipitates in Fe-Based Alloys."" Phil.Mag.Let.331-336 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Miyazaki: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based upon a Discrete Type Non-Linear Diffusion Equation."" Proc.of the Inter.Symp.on Metal.and Mater.of Non-Ferrous Metal and Alloys. 382-387 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Koyama: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based on a Discrete Type Diffusion Equation."" Proc.of the Inter.Conf.on Model.and Sim.in Metall.Eng.and Metals Sci. (MSMM '96). 206-211 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 小山敏幸: ""離散型拡散方程式に基づく相分解過程の数値計算法"" 日本金属学会誌. 60. 553-559 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 小山敏幸: ""離散型拡散方程式に基づくFe-Mo合金の相分解シミュレーション"," 日本金属学会誌. 60. 560-568 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Moriya: ""Mossbauer Study on the Phase Separation of Fe-Co-Si Alloys"" Mater.Trans.JIM. 37. 965-969 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 小林千悟: ""組成傾斜を利用したNi-VおよびNi-Mo整合相境界の決定"" 日本金属学会誌. 60. 22-28 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 宮崎 亨: "弾性拘束系における析出組織の安定性の分岐" 日本金属学会会報「まてりあ」. 34. 9-16 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 宮崎 亨、小山敏幸: "ハチャトリアンの拡散方程式に基づく実在合金の相分解シミュレーション" 日本金属学会会報「まてりあ」. 34. 434-442 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Miyazaki, T.Koyama and S.Kobayashi: "A New Characetrization Method of the Microstructure by Utilizing the Macroscopic Composition Gradient in Alloys." Metal. Mater. Trans. A.in Press.

    • Related Report
      1995 Annual Research Report
  • [Publications] Takao Kozakai and Toru Miyazaki: "Experimental and theoretical phease diagrams of thr Fe-rich Fe-Si-Ge ordering system." J. Materials Science,. 30. 5056-5064 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Koyama, T.Miyazaki and A.M.Mebed: "Computer Silnulations of Phase Decomposition in Real Alloy Systems based on the Modified Khachaturyan's Diffusion Equation." Metal. Mater. Trans. A.26. 2617-2623 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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