Study of crack propagation models and moving boundary problems
Project/Area Number |
21540136
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Kyushu University |
Principal Investigator |
KIMURA Masato 九州大学, マス・フォア・インダストリ研究所, 准教授 (70263358)
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 亀裂進展モデル / 移動境界問題 / フェーズフィールドモデル / 多角形版移動境界問題 / ヘレショウ移動境界問題 / 粒子法 / 打ち切り誤差 / エネルギー解放率 / 亀裂進展 / 反応拡散系 / 特異摂動問題 / 固有値問題 / 面積保存 |
Research Abstract |
In this research, we studied several crack propagation models in fracture mechanics and related various moving boundary problems from viewpoints of mathematical and numerical analyses. These are completely different phenomena, however, both have geometrical difficulty and importance of variational structures. We succeeded in proposing a phase field model by means of reaction diffusion system, which is a powerful tool in moving boundary problems, and constructed a polygonal motion with variational structure and its numerical analysis.
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Report
(4 results)
Research Products
(41 results)