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The application of the bifurcation theory to the microstructure change and its stability.

Research Project

Project/Area Number 02452245
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field 金属材料(含表面処理・腐食防食)
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., Research fellow, 工学部, 助手 (80225599)
KOZAKAI Takao  Nagoya Institute of Technology Center for Cooperative Research, Associate Profes, 共同研究センター, 助教授 (80110253)
DOI Minoru  Nagoya Institute of Technology Dept. of Mater. Sci. & Eng.,, 工学部, 助教授 (60135308)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥6,800,000 (Direct Cost: ¥6,800,000)
Fiscal Year 1991: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1990: ¥5,700,000 (Direct Cost: ¥5,700,000)
KeywordsElastic interaction / Interfacial energy / Bifurcation theory / Ostwald ripening / Particle size distribution / Elastic constraint / Stability of microstructure
Research Abstract

Several interesting phenomena for the formation of microstructure have recently been observed when the alloys, ceramics and semiconductors are elastically constrained. Particularly, the extraordinary behavior, in the precipitate coarsening ; deceleration of particle coarsening, stopping the particle coarsening and splitting of a particle into plural small particles are typical examples. These phenomena have theoretically supported by "bifurcation diagram", proposed by us. In the practical point of view, this phenomena imply an existence of non-overaging materials even if heated at high temperature for atom to diffuse. The purpose of the present work is to get a more wide range of experimental examinations and also to give more accurate theoretical back ground.
The experimental results obtained for this academic year are written below.
(1) Hitherto the splitting of particle was recognized in Ni-base alloys such as Ni-Al, Ni-Si and so on. However, the splitting has first been observed in I … More ron base Fe-Al-Co ternary alloys. This examination fact clearly shows that the splitting of particles is not special but common in the elastically constrained system.
(2) In the Fe-Al-Ge system which has a small eigenstrain the precipitates increase their sizes L with aging time t in accordance with LSW theory, that is L=k ・t^<1/3>. In the Fe-Al-V system having a large eigenstrain, however, the uniformalization of particle size and the deceleration of particle coarsening were experimentally recognized. Inevitability of such the characteristic coarsening is theoretically discussed on the basis of the bifurcation diagram.
(3) New parameters showing the 3-dimensional distribution of particles are introduced to classify the microstructures
(4) In the conventional bifurcation disgrain the microstructure consisting two particles vas adopted as the most simple case of the many body microstructure. In this research, the many body microstructure is taken into the calculation of bifurcation diagram so as to analyze more accurate behavior of the particle coarsening. Less

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (52 results)

All Other

All Publications (52 results)

  • [Publications] 宮崎 亨: "A New Description of the Microstructural Changes in the Precipitation Process" Mater.Sci.and Eng.(1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 宮崎 亨: "Computer Simulation of Phase Decomposition on CuーCo Binary Alloys based on the NonーLinear Diffusion Equation" Mater.Trans.JIM. 27. (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 土井 稔: "ニッケル基合金における整合析出物の粗大化挙動" 豊田研究報告. 44. 27-34 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 宮崎 亨: "相変態・析出と異相界面" 金属. 61. 18-23 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 深谷 益啓: "Phase diagrams calculated for Feーrich FeーSiーCo and FeーSiーAl ordering alloy systems" J.Mater.Sci. 26. 5420-5426 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 小山 敏幸: "弾性拘束下における多体粒子の粗大化挙動の理論解析" 耐熱金属材料123委員会研究報告. 32. 267-274 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 宮崎 亨: "Computer Simulation of Phase Decomposition in the Regular Solution Based upon the CahnーHilliard's NonーLinear Diffusion Equation" J.Mater.Sci.32. 915-920 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 小坂井 孝生: "Phase Stabilitis of Feーbase Ordered Structures in FeーAlーCo Alloys" Proc.of JIMISー6. 257-261 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 深谷 益啓: "A Statistical Evalution of the Free energy of Feーbase Ternary Ordering Alloyos" J.Mater.Sci.25. 522-528 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 趙 丕植: "bcc FeーSiーV系における規則化と相分離のBraggーwilliamsーGorsky法による解析" 日本金属学会誌. 54. 139-145 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 小山 敏幸: "AlーZn合金の不連続媒出に対する温度ー時間ー組成組織図" 日本金属学会誌. 54. 635-641 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 趙 丕植: "FeーSiーGe3元規則合金におけるA2+DO3およびB2+DO3 2相相分離過程" 日本金属学会誌. 54. 1056-1064 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 宮崎 亨: "弾性場における合金の相分解の実験" 京大基礎物理学研究所研究「パタ-ン形成、運動およびその超計」. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 宮崎 亨: "An Estimation of the Free Energy of the Microstructure in Aged Alloys" Matetials Science and Engineering.A136. 151-159 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 竹内 章: "非線形拡散方程方に基づく正則固溶体の相分解シミュレ-ション" 日本金属学会誌. 54. 1177-1182 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 宮崎 亨: "相変態における時間過程の解析 金属セミナ-「材料科学における状態図・相変態の基礎と応用」" 日本金属学会, 92 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Miyazaki: "A New Description of the Microstructural Changes in the Precipitation Process." Mater. Sci. and Eng.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Miyazaki: "Computer Simulation of Phase Decomposition in the Regular Solution Based upon in the Regular Solution based upon the Cahn-Hilliard's Non-Linear diffusion Equation" Mater. Trans. JIM. 32. 915-920 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M. Doi: "Coarsening Behaviors of Coherent Precipitates in Ni-base Alloys." Report of Toyota Research. No. 44. 27-34 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Miyazaki: "Phase Transformation・Precipitation and Interface" Metal & Technology. 61. 18-23 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M. Fukaya: "Phase diagrams calculated for Fe-rich Fe-Si-Co and Fe-Si-Al ordering alloy systems." J. Mater. Sci.26. 5420-5426 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Koyama: "Theoretical Analysis of the Coarsening Behavior of Many Precipitates in Elastically Constrained Systems." Report of the 123rd Committee on Heat-Resisting Metals and Alloy. 32. 267-274 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Miyazaki: "Computer Simulation of the Phase Decomposition on Cu-Co Binary Alloys based on the Non-Linear Diffusion Equation." J. Mater. Sci.27. (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Kozakai: "Phase Stabilities of Fe-base Ordered Structures in Fe-Al-Co Alloys." Proc. of JIMIS-6. 257-261 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] M. Fukaya: "A Statistical Evaluation of the Free Energy of Fe-base Ternary Ordering Alloys." J. Mater. Sci.25. 522-258 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Pi Zhi Zhao: "Analysis of Ordering and Phase Separation in a bcc Fe-Si-V Ternary System based on the Bragg-Williams-Gorsky Model." J. Japan Inst. Metals. 54. 139-145 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Koyama: "Temperature-Time-Composition Diagram for the Cellular Precipitation in the Al-Zn Alloy System." J. Japan Inst. Metals. 54. 635-641 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Pi Zhi Zhao: "Phase Separation into A2+DO_3 or B2+DO_3 Two Phases in Fe-Si-Ge Ternary Ordering Alloys." J. Japan Inst. Metals. 54. 1056-1064 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Miyazaki: "The Investigation of the Phase Decomposition in Elastically Constrained Systems." Report of the Meeting in Research Institute for Fundamental Physics Kyoto University. "Formation Dynamics and Statistics of Patterns". (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Miyazaki: "An Estimation of the Free Energy of the Microstructure in Aged Alloys." Mater. Sci. & Eng.A136. 151-159 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] A. Takeuchi: "Computer Simulation of Phase Decomposition in the Regular Solid Solution based upon the Non-Linear Diffusion Equation" J. Japan Inst. Metals. 54. 1177-1182 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Miyazaki: "The Analysis of Time Evolution of Phase Decomposition." "The Basis and Application of the Phase Diagram Phase Transformation in the Materials Science. Japan Institute of Metals. 92 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 宮崎 亨: "A New Description of the Microstructural Changes in the Precipitation Process" Mater.Sci.and Eng.(1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 宮崎 亨: "Computer Simulation of Phase Decomposition on CuーCo Binary Alloys based on the NonーLinear Diffusion Equation" Mater.Trans.JIM. 27. (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 土井 稔: "ニッケル基合金における整合析出物の粗大化挙動" 豊田研究報告. 44. 27-34 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 宮崎 亨: "相変態・析出と異相界面" 金属. 61. 18-23 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 深谷 益啓: "Phase diagrams calculated for Feーrich FeーSiーCo and FeーSiーAl ordering alloy systems" J.Mater.Sci.26. 5420-5426 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 小山 敏幸: "弾性拘束下における多体粒子の粗大化挙動の理論解析" 耐熱金属材料123委員会研究報告. 32. 267-274 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 宮崎 亨: "Computer Simulation of Phase Decomposition in the Regular Solution Based upon the CahnーHilliard's NonーLinear Diffusion Equation" J.Mater.Sci.32. 915-920 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 小坂井 孝生: "Phase Stabilitis of Feーbase Ordered Structures in FeーAlーCo Alloys" Proc.of JIMISー6. 257-261 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 深谷 益啓: "A Statistical Evalution of the Free energy of Feーbase Ternary Ordering Alloys" J.Mater.Sci.25. 522-528 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 趙 丕植: "bcc FeーSiーV系における規則化と相分離のBraggーwilliamsーGorsky法による解析" 日本金属学会誌. 54. 139-145 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 小山 敏幸: "AlーZn合金の不連続析出に対する温度ー時間ー組成組織図" 日本金属学会誌. 54. 635-641 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 趙 丕植: "FeーSiーGe3元規則合金におけるA2+DO3およびB2+DO32相相分離過程" 日本金属学会誌. 54. 1056-1064 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 宮崎 亨: "弾性場における合金の相分解の実験" 京大基礎物理学研究所研究会「パタ-ン形成、運動およびその統計」. (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 宮崎 亨: "An Estimation of the Free Energy of the Microstructure in Aged Alloys" Materials Science and Engineering.A136. 151-159 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 竹内 章: "非線形拡散方程式に基づく正則固溶体の相分解シミュレ-ション" 日本金属学会誌. 54. 1177-1182 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 宮崎 亨: "相変態における時間過程の解析 金属学会セミナ-「材料科学における状態図・相変態の基礎と応用」" 日本金属学会, 92 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 宮崎 亨: "弾性場における合金の相分解の実験" 京大基礎物理学研究所研究会「パタ-ン形成、運動およびその統計」. ( 1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 宮崎 亨: "An Estimation of the Free Energy of the Microstructure in Aged Alloys" Materials Science and Engineering. (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 土井 稔: "A New Parameter for Describing the Structure Bifurcation in Two Phase Alloys Containing Coherent Particles" Jounal of Materials Science.(1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 竹内 章: "非線形拡散方程式に基づく正則固溶体の相分解シミュレ-ション" 日本金属学会誌. 54. 1172-1182 (1990)

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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