Mathematics study of the continuum mechanics focusing on singularities
Project/Area Number |
19340027
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Research Category |
Grant-in-Aid for Scientific Research (B)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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Research Institution | Hiroshima Kokusai Gakuin University |
Principal Investigator |
OHTSUKA Kohji Hiroshima Kokusai Gakuin University, 情報デザイン学部, 教授 (30141683)
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Co-Investigator(Kenkyū-buntansha) |
AZEGAMI Hideyuki 名古屋大学, 情報科学研究科, 教授 (70175876)
SUMI Yoichi 横浜国立大学, 大学院・工学研究院, 教授 (80107367)
NARUKAWA Kimiaki 鳴門教育大学, 学校教育学部, 教授 (60116639)
NISHIMURA Naoshi 京都大学, 情報学研究科, 教授 (90127118)
HIROSE Sohichi 東京工業大学, 情報理工学研究科, 教授 (00156712)
ITOU Hiromichi 群馬大学, 工学部, 助教 (30400790)
|
Project Period (FY) |
2007 – 2009
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Project Status |
Completed (Fiscal Year 2009)
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Budget Amount *help |
¥14,950,000 (Direct Cost: ¥11,500,000、Indirect Cost: ¥3,450,000)
Fiscal Year 2009: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2008: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2007: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
|
Keywords | 数理工学 / 応用数学 / モデル化 / 関数方程式論 / 破壊現象 / 最適設計問題 / 数値計算 |
Research Abstract |
Mainly on the mathematical modeling of fracture phenomena, we constructed the activity group CoMFoS (Continuum Mechanics Focusing on Singularities) in the Japan Society for Industrial and Applied Mathematics, and start the renewal of workshop. We get the results ; The modification of Griffith's energy balance theorem for the purpose of control theory on fracture phenomena, the proof of fundamental theorem in GJ-integral theory under nonlinearity of continuum mechanics, the application of GJ-integral method to shape optimization problem with Azegami's method, the construction of the Web site that carried contents of FreeFem++.
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Report
(4 results)
Research Products
(177 results)
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[Presentation] 静的亀裂問題の数学解析2008
Author(s)
若野功(京都大学)
Organizer
応用数理学会OS特異性を持つ連続体力
Place of Presentation
東京大学柏キャンパス, 千葉県
Year and Date
2008-09-19
Related Report
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[Presentation] 楽器のための形状最適化問題2008
Author(s)
中村有里, 新谷浩平, 青山大樹, 畔上秀幸
Organizer
日本応用数理学会2008年度年会
Place of Presentation
東京大学柏キャンパス, 千葉県
Year and Date
2008-09-17
Related Report
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[Presentation] Shape Identification of Forced Heat-Convection Fields2008
Author(s)
E. Katamine, Y. Kawase, H. Azegami
Organizer
Eighth World Congress on Computational Mechanics (WCCM8) in conjunction with Fifth European Congress on Computational Methods in Applied Sciences and Engineering
Place of Presentation
Venice, Italy
Year and Date
2008-06-30
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[Book] FreeFem++, Third Edition, Version 3.82010
Author(s)
F.Hecht, O.Pironneau, J.Morice, A.Le Hyaric, K.Ohtsuka
Total Pages
336
Publisher
Universite Pierre et Marie Curie, Laboratoire Jacques-Louis Lions, http://www.freefem.org/ff++/
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