2011 Fiscal Year Final Research Report
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
|
| 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 |
|---|
| 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.
|
