Analysis of crack propagation phenomena of phase-field model
| Project/Area Number |
23540174
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Hiroshima Kokusai Gakuin University |
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Principal Investigator |
TAKAISHI TAKESHI 広島国際学院大学, 総合教育センター, 教授 (00268666)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| 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)
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| 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 |
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| 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.
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Report
(4 results)
Research Products
(25 results)
