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Analysis of crack propagation phenomena of phase-field model

Research Project

Project/Area Number 23540174
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionHiroshima Kokusai Gakuin University

Principal Investigator

TAKAISHI TAKESHI  広島国際学院大学, 総合教育センター, 教授 (00268666)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywordsき裂進展 / 数理モデリング / 科学計算 / 数理モデル / 数値シミュレーション / データ可視化
Research Abstract

Validity of the phase-field model that is introduced by the author and Dr. Kimura is estimated both theoretically and numerically. Relation between the spatial profile of the equilibrium state of phase-field and the regularization parameter is studied theoretically. It is also shown numerically that the basement value of the damage (or the micro-crack density) controls the number of crack lines. 3-dimensional crack propagation is studied numerically, and the twist of crack surface is investigated. The stereo-viewer for 3-dimensional numerical data of FreeFem++ is developed, and the numerical code development for the large scale crack propagation is now in progress.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (25 results)

All 2014 2013 2012 2011 Other

All Journal Article (8 results) Presentation (10 results) Book (2 results) Remarks (5 results)

  • [Journal Article] A phase field approach to mathematical modeling of crack propagation2014

    • Author(s)
      Masato Kimura and Takeshi Takaishi
    • Journal Title

      A Mathematical Approach to Research Problem of Science and Technology

    • Related Report
      2013 Final Research Report
  • [Journal Article] A phase field approach to mathematical modeling of crack propagation2014

    • Author(s)
      Masato Kimura, Takeshi Takaishi
    • Journal Title

      A Mathematical Approach to Research Problems of Science and Technology

      Volume: -

    • Related Report
      2013 Annual Research Report
  • [Journal Article] フェーズフィールド法による亀裂進展現象の数理モデリング2013

    • Author(s)
      高石武史, 木村正人
    • Journal Title

      IMI Lecture Note, Kyushu- University

      Volume: 46巻 Pages: 100-118

    • Related Report
      2013 Final Research Report
  • [Journal Article] フェーズフィールド法による亀裂進展現象の数理モデリング2013

    • Author(s)
      高石武史,木村正人
    • Journal Title

      MI Lecture Note, Kyusu University

      Volume: 46 Pages: 109-118

    • Related Report
      2012 Research-status Report
  • [Journal Article] 亀裂進展フェーズフィールドモデルとその応用について2012

    • Author(s)
      高石武史
    • Journal Title

      数理解析研究所講究録

      Volume: 1791巻 Pages: 182-188

    • Related Report
      2013 Final Research Report
  • [Journal Article] き裂進展フェーズフィールドモデルとその応用について2012

    • Author(s)
      高石武史
    • Journal Title

      数理解析研究所講究録

      Volume: 1791 Pages: 182-188

    • Related Report
      2012 Research-status Report
  • [Journal Article] フェーズフィールドモデルによる複雑な亀裂のシミュレーション2011

    • Author(s)
      Takeshi Takaishi and Masato Kimura
    • Journal Title

      計算工学講演会論文集

      Volume: 16巻(CD-ROM)

    • Related Report
      2013 Final Research Report
  • [Journal Article] フェーズフィールドモデルによる複雑な亀裂のシミュレーション2011

    • Author(s)
      T.Takaishi and M.Kimura
    • Journal Title

      計算工学講演会論文集

      Volume: 16

    • Related Report
      2011 Research-status Report
  • [Presentation] FM 型フェーズフィールドモデルによる, 厚みを持つ板におけるき裂進展2013

    • Author(s)
      高石武史
    • Organizer
      日本応用数理学会
    • Place of Presentation
      九州大学
    • Year and Date
      2013-09-11
    • Related Report
      2013 Final Research Report
  • [Presentation] Complicated propagation of cracks in a 3 dimensional phase-field model2013

    • Author(s)
      Takeshi Takaishi
    • Organizer
      Czeck-Japanese Seminar on Applied Mathematics 2013
    • Place of Presentation
      明治大学
    • Year and Date
      2013-09-07
    • Related Report
      2013 Final Research Report
  • [Presentation] Some applications of the phase field model for crack growth2012

    • Author(s)
      Takeshi Takaishi
    • Organizer
      Algoritmy 2012
    • Place of Presentation
      Podbanske, Slovakia
    • Year and Date
      2012-09-10
    • Related Report
      2013 Final Research Report
  • [Presentation] フェーズフィールドモデルを用いた経年変化による亀裂の解析2012

    • Author(s)
      高石武史
    • Organizer
      日本応用数理学会
    • Place of Presentation
      稚内全日空ホテル
    • Year and Date
      2012-08-29
    • Related Report
      2013 Final Research Report 2012 Research-status Report
  • [Presentation] Some applications of the phase field model for crack growth2012

    • Author(s)
      Takeshi Takaishi
    • Organizer
      Algoritmy 2012
    • Place of Presentation
      Podbanské, Slovak
    • Related Report
      2012 Research-status Report
  • [Presentation] き裂進展フェーズフィールドモデルの解の特性について2011

    • Author(s)
      高石武史
    • Organizer
      日本応用数理学会
    • Place of Presentation
      同志社大学
    • Year and Date
      2011-09-16
    • Related Report
      2013 Final Research Report 2011 Research-status Report
  • [Presentation] フェーズフィールド法による複雑な亀裂のシミュレーション2011

    • Author(s)
      高石武史
    • Organizer
      第16回計算工学講演会
    • Place of Presentation
      東京大学
    • Year and Date
      2011-05-25
    • Related Report
      2013 Final Research Report
  • [Presentation] フェーズフィールドモデルによる複雑な亀裂のシミュレーション2011

    • Author(s)
      高石武史
    • Organizer
      第16回計算工学講演会
    • Place of Presentation
      東京大学
    • Related Report
      2011 Research-status Report
  • [Presentation] FM型フェーズフィールドモデルによる,厚みを持つ板におけるき裂進展

    • Author(s)
      高石武史
    • Organizer
      日本応用数理学会
    • Place of Presentation
      九州大学(福岡県福岡市)
    • Related Report
      2013 Annual Research Report
  • [Presentation] Complicated propagation of cracks in a 3 dimensional phase-field model

    • Author(s)
      Takeshi Takaishi
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2013 (CJS2013)
    • Place of Presentation
      明治大学(東京都中野区)
    • Related Report
      2013 Annual Research Report
  • [Book] 有限要素法で学ぶ現象と数理 - FreeFem++数理思考プログラミング (シリーズ応用数理4)2014

    • Author(s)
      大塚厚二, 高石武史, 日本応用数理学会 (監修)
    • Publisher
      共立出版
    • Related Report
      2013 Final Research Report
  • [Book] 有限要素法で学ぶ現象と数理 ―FreeFem++数理思考プログラミング― (シリーズ応用数理 4)2014

    • Author(s)
      大塚 厚二 , 高石 武史 , 日本応用数理学会 (監修)
    • Total Pages
      243
    • Publisher
      共立出版
    • Related Report
      2013 Annual Research Report
  • [Remarks] 反応拡散方程式シミュレーションへのGPUの応用(ホームページ等)

    • URL

      http://sites.google.com/site/ttksweb/home/tools/c/cusp/rd

    • Related Report
      2013 Final Research Report
  • [Remarks] FFIsoVis (FreeFem++で出力された3 次元シミュレーションデータ用簡易ビューア)(ホームページ等)

    • URL

      http://sites.google.com/site/ttksweb/home/numerical/freefem/ffisovis

    • Related Report
      2013 Final Research Report
  • [Remarks] FFIsoVis

    • URL

      https://sites.google.com/site/ttksweb/home/numerical/freefem/ffisovis

    • Related Report
      2013 Annual Research Report
  • [Remarks]

    • URL

      https://sites.google.com/site/ttksweb/home/tools/c/cusp/rd

    • Related Report
      2011 Research-status Report
  • [Remarks] 反応拡散方程式シミュレーションへのGPUの応用

    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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