Numerical analysis of phenomenon with singularities in engineering

工程奇点现象的数值分析

• 批准号: 07305003
• 负责人: OHTSUKA Kohji
• 金额: $ 1.79万
• 依托单位: Hiroshima-Denki Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07305003/
• 关键词: Phenomenon with singularities; Theoretical research; Numerical Analysis; Fracture Phenomenon; flow problems; Simulation; Large-scale calculation; WWW homepage; 数理工学; 特異解; 破壊力学; CAEツール

By the development of technology, penomenon with singularities arise in engineering, for example, fracture phenomenon, complex flow. Now we want to study theoretically and numerically such phenomenon. Professor Tabata develop new technique for axisymmetric flow problems. Professor Fujino also develop the numerical calculations for large-scale linear equations. Professor Aoi and Yoshimura research numerically complex air flow near buildings. Professor Miyoshi, Yatomi, Nishimura, Ohtsuka organize the conference "Theoretical Studies on Fracture Phenomenon" in which mathematician and engineer got together and discussed. By this conference, we have the network between scholars of fracture in different field. The results are collected in book "Theoretical Studies on Fracture Phenomenon". You will get the informations from the homepage in <http : //barnard.c.hiroshima-dit.ac.jp> about this group.

随着技术的发展，工程中出现了一些奇异现象，如断裂现象、复杂流动等。现在我们想从理论上和数值上研究这种现象。 Tabata 教授开发了解决轴对称流动问题的新技术。藤野教授还开发了大规模线性方程的数值计算。葵教授和吉村研究建筑物附近的数值复杂气流。 Miyoshi、Yatomi、Nishimura、Ohtsuka教授组织了“断裂现象的理论研究”会议，数学家和工程师齐聚一堂进行讨论。通过这次会议，我们在不同领域的骨折学者之间建立了网络。结果收录在《断裂现象的理论研究》一书中。您可以从 <http://barnard.c.hiroshima-dit.ac.jp> 的主页获取有关该小组的信息。

项目成果

K.Ohtsuka: "Mathematical analysis of 3-D fracture phenomenon by Griffith's energy balance theory under increasing loads" Theoretical and Applied Mechanics. 45. 99-103 (1996)

K.Ohtsuka：“根据格里菲斯的能量平衡理论在增加载荷下对 3-D 断裂现象进行数学分析”理论与应用力学。

N.Nishimura,S.Kobayashi: "Determination of cracks having arbitrary shapes with the boundary integral equation method" Eng.Anal.Boundary Element. 15. 189-195 (1995)

N.Nishimura，S.Kobayashi：“用边界积分方程法确定任意形状的裂纹”Eng.Anal.Boundary Element。

阿部 孝弘, 矢富 盟祥, 橋本 堅一: "エネルギー解放率による破壊基準を用いたき裂干渉問題に関する一考察" 第8回破壊力学シンポジュウム論文集. 97-101 (1995)

Takahiro Abe、Meyoshi Yatomi、Kenichi Hashimoto：“使用基于能量释放率的断裂准则研究裂纹干扰问题”第八届断裂力学研讨会论文集97-101（1995）。

Supriyono and T.Miyoshi: "A modified extrapolation method for large systems of second order central difference equations" Japan J.Industrial and Applied Mathematics. (12)2. 439-455 (1995)

Supriyono 和 T.Miyoshi：“二阶中心差分方程大系统的改进外推法”日本 J.工业与应用数学。

K.Ohtsuka: "Mathematical analysis of 3-D fracture phenomenon by Griffith′s energy balance theory under increasing loads" Theoretical and Applied Mechanics. 45. 99-103 (1996)

K. Ohtsuka：“根据格里菲斯能量平衡理论对载荷增加时的 3-D 断裂现象进行数学分析”理论与应用力学 45. 99-103 (1996)。