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1996 Fiscal Year Final Research Report Summary

Visualization of the Phase Decomposition Process Based on the Non-liner Diffusion Equation.

Research Project

Project/Area Number 07555477
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section試験
Research Field Physical properties of metals
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) WAKIKADO Yoshihiro  Aichi Steel Co., LTD R.& D.Section A head of the section, 研究開発部, 部長
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
KeywordsNon-linear / Diffusion equation / Simulation / Visualization / Phase decomposition / Microstructure changes / Spinodal decomposition / パターン形成
Research Abstract

A numerical analysis of the diffusion controlled phase transformation based on the non-liner diffusion equation is one of the main subjects in the field of the computer materials science. In the present study, we propose a new analyzing method of the nonlinear diffusion equation ("discrete type diffusion equation"), where the composition dependencies of atomic interaction energy, elasticity and mobility of atoms are taken into account so as to be able to calculate the phase decomposition in the real alloy system. Furthermore, the information of the solute atom occupation probability in atom site is also included in the proposed calculation theory. The proposed new method has a capability of predicting not only the phase decomposition in the disordered phases but also the other phase transformations such as the stress-induced precipitates coarsening, order/disorder phase transitions, phase decompositions in ordering alloys, the formation process of tweed structures, and so on. The purpo … More se of the present work is to reveal the nature of the phase transformation by visualizing the phase decomposition process. The detail behavior in diffusion controlled phase decomposition is calculated on the basis of the "discrete type non-linear diffusion equation". The results obtained are as follows.
The two dimensional computer simulations were performed for the phase decomposition in the Fe-Mo, Fe-Cr, Al-Zn, and Cu-Co binary alloy systems on the basis of the new method. The thermodynamic data of phase diagram for these alloy systems was used in the present simulation. The microstructures theoretically calculated were well coincident with experimental facts of these alloy systems. Particularly, the typical features in the strain-induced microstructure changes were successfully calculated. Furthermore, we prepared the "Introduction Video" for the phase transformation by visualizing the calculated results based on the computer simulations. The detail behavior of the phase decompositions was presented by using the VTR,and this result will be very useful for the education in the field of materials science and engineering. Less

  • Research Products

    (24 results)

All Other

All Publications (24 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
  • [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 Mictrost. Evolution). 111-124 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M. Doi,: "Transmission Electron Microscopy Observations of the Splits of Do_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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [Publications] T.Miyazaki: ""Computer Simulations of Phase Decomposition in Real Alloy Systems Based on a Discrete Type Diffusion Equation"" Math.of Microst.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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [Publications] T.Miyazaki: ""A New Evaluation Method of Phase Decomposition by Utilizing the Mecroscopic Composition Gradient in Alloys"" ANNALES DE PHYSIQUE. Colloque C3, supplement au n3 Vol20. 119-126 (1995)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-09  

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