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Exact Formulation for Peierls Potentials and Dynamics of Dislocationsand its applications

Research Project

Project/Area Number 07455045
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

IGARASHI Akito  Kyoto University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (00115784)

Co-Investigator(Kenkyū-buntansha) MUNAKATA Toyonori  Kyoto University, Graduate School of Engineering, Professor, 工学研究科, 教授 (40026357)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥5,600,000 (Direct Cost: ¥5,600,000)
Fiscal Year 1996: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1995: ¥4,000,000 (Direct Cost: ¥4,000,000)
Keywordsdislocation / Peierls potential / dynamics / lattice model / constraint condition
Research Abstract

First, we simulate Frenkel-Kontorova model with the use of molecular dynamics method, and obtain velocity for kink propagation, nucleation rate for a kink-pair and velocity for a dislocation. In order to simulate the system at a constant temperature, we treat the equation of motion under the influence of random force (thermal noise) and friction force. The simulation results are in good agreement with theoretical results which are calculated from our constraint method and the transition state theory.
Secondly, we modify the constraint method to apply it to a 2-dimensional lattice model for screw dislocations in b.c.c.crystals and obtain Peierls stress and core structure of a dislocation. We obtain two kinds of core structure, isotropic and polarized configurations, which are observed by Takeuchi et.al. The results for Peierls stress are twice as many as simulation results of Takeuchi et.al.in their computer simulation. We consider that the difference between our and the simulation results for Peierls stress is attributed to the different condition between our and their studies. That is, they apply an external stress to obtain Peierls stress. On the other hand, we do not apply any external stress, but use constraint conditions to stop the dislocation at any places.
To obtain the above results, we use the work-station, two X-terminals, CD-ROM drive and lap-top personal computer which we get by this GRANT-IN-AID FOR SCIENTIFIC RESEARCH.We present our research in the International Conference on Computer Simulation in Materials Science in Ile de'Orelon, France, 1995, the 6th Forum for Lattice Defects "Dislocations-Present and Future Perspectives-" in Yamaguchi, 1996 and so on.

Report

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

    (8 results)

All Other

All Publications (8 results)

  • [Publications] 五十嵐顕人: "格子系における転位-パイエルスポテンシャルとダイナミクス" 日本物理学会1995年秋の分科会講演論文集. 2. 37-38 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 五十嵐顕人: "格子モデルによる転位のダイナミクス" 材料. 45. 359-360 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 五十嵐顕人: "解析力学によるパイエルス応力の計算" 第6回格子欠陥フォーラム“転位-現状と将来の展望-"講演論文集. 1. 115-124 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Igarashi, Akito and Munakata, Toyonori: "Dislocations in Lattice Systems-Peierls Potential and Dynamics" The Proceedings of Annual Autumn meeting of the Physical Society of Japan in 1995. 2. 37-38 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Igarashi, Akito: "Dynamics of a Dislocation in a Lattice Model" Jouranal of Society of Materials Sciences, Japan. 45. 359-360 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Igarashi, Akito and Munakata, Toyonori: "Theoretical Research on Peierls Sterss based on Analytical Dynamics" The Proceedings of the 6th Forum for Lattice Defects. 1. 115-124 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 五十嵐顕人: "解析力学によるパイエルス応力の計算" 第6回格子欠陥フォーラム"転位-現状と将来への展望-"講演論文集. 115-124 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 五十嵐顕人: "格子モデルによる転位のダイナミクス" 材料. 45. 104-105 (1996)

    • Related Report
      1995 Annual Research Report

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

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