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Resistance to the motion of singular points in a crystal due to emission of lattice waves

Research Project

Project/Area Number 16560582
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Physical properties of metals
Research InstitutionMeiji University

Principal Investigator

KOIZUMI Hirokazu  Meiji University, School of Science and Technology, Professor, 理工学部, 教授 (60126050)

Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2005: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2004: ¥2,600,000 (Direct Cost: ¥2,600,000)
Keywordsdislocation / kink / crack / phonon / radiation loss / velocity / simulation / elastic body / 計算機シミュレーション / 超音速運動 / 分子動力字法 / 半導体 / Stillinger-Weberポテンシャル / 分子動力学法
Research Abstract

In the frame of the elasticity theory dislocations, kinks on a dislocation line and cracks are treated as singular lines or points in a continuous body. One of the most serious problems in this treatment is that discreteness of the lattice cannot be taken into account. When these singular points move, they accelerate and decelerate according to periodicity of the lattice, which leads to dissipation of kinetic energy of the singular points. Studies on radiation loss have been made.
1.Motion of kinks on a screw dislocation was simulated in a diamond lattice. Atoms interact with Stillinger-Weber potential. Although the velocity of the kink is an increasing function of the applied stress, a jump is observed in the velocity-applied force relation when the spectrum of the emitted phonon changes abruptly. For a large applied stress, multi-kink formation occurs as has been predicted by the line tension model of a dislocation.
2.Motion of a crack of mode III is simulated in a simple cubic lattice. Lattice waves are emitted when a bond is broken. Magnitude of the surface energy affects the fastest velocity of the crack. Supersonic motion is observed only for the system with a small surface energy.
3.If a dislocation is placed on the top of the Peierls potential, it moves down to the bottom of the Peierls valley under no applied stress emitting lattice waves and oscillates at the bottom of the Peierls valley. The oscillation of the dislocation can be approximated by a damping oscillator.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (7 results)

All 2005 Other

All Journal Article (7 results)

  • [Journal Article] Motion of dislocation kinks in a simple model crystal2005

    • Author(s)
      H.Koizumi, T.Suzuki
    • Journal Title

      Materials Science and Engineering A 400-401

      Pages: 76-79

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Motion of dislocation kinks in a simple model crystal2005

    • Author(s)
      H.Koizumi, T.Suzuki
    • Journal Title

      Materials Science and Engineering A vol.400-401

      Pages: 76-79

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Motion of dislocation kinks in a simple model crystal2005

    • Author(s)
      H.Koizumi
    • Journal Title

      Materials Science and Engineering A 400-401

      Pages: 76-79

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Construction of the Peierls-Nabarro potential of a dislocation from interatomic potentials

    • Author(s)
      H.Koizumi, H.O.K.Kirchner, T.Suzuki
    • Journal Title

      Philosophical Magazine (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Construction of the Peierls-Nabarro potential of a dislocation from interatomic potentials

    • Author(s)
      H.Koizumi, H.O.K.Kirchner, T.Suzuki
    • Journal Title

      Philosophical Magazine (in printing)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Construction of the Peierls-Nabarro potential of a dislocation from interatomic potentials

    • Author(s)
      H.Koizumi
    • Journal Title

      Philosophical Magazine (印刷中)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Motion of dislocation kinks in a simple model crystal

    • Author(s)
      H.Koizumi
    • Journal Title

      Materials Science and Engineering A (未定)

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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