2013 Fiscal Year Final Research Report
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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| Keywords | き裂進展 / 数理モデリング / 科学計算 |
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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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Research Products
(13 results)
