Theoretical study and numerical analysis of continuum mechanics

连续介质力学理论研究与数值分析

• 批准号: 10440035
• 负责人: OHTSUKA Kohji
• 金额: $ 4.99万
• 依托单位: Hiroshima Kokusai Gakuin University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B).
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-10440035/
• 关键词: Mathematical Research; Fracture phenomena; Theoretical Researches; Numerical analysis; Finite Element Method; Solver of 2 dimensional PDE

1. The workshop "Theoretical research and numerical analysis on fracture phenomena" was held three times for three years (1998-2000) with about 30 participants and 12 speakers in each workshop. Their travel expenses and lodging charges are supported by this research funds. In this workshop, mathematicians and theoretical researchers on fracture mechanics joined and discussed each other on fracture phenomena after interesting lectures. The first workshop was held in 27-29 Jan.1995 and the recent workshop was 6th in 10-12 Nov.2000.2. The applicant have been the member of FreeFem+ project whose leader is Prof.Pironneau belonging to Paris University 6. Another member is Frederic Hecht in Paris VI.We publish FreeFem+ in the site "http : //www-rocq.inria.fr/Frederic.Hecht/FreeFemPlus.htm". My main part is the user interface for MS-Windows version of FreeFem+. Now I making the visualization tool "vffem" for FreeFem+ that shows the level lines, 3 dimensional graph with shading, wire frame etc. This software has been constructed by OpenGL (GLUT) and using C++. I will publish "vffem" in near future.

1.“断裂现象的理论研究和数值分析”讲习班为期三年(1998-2000年)，共举办了三次，每次讲习班约有30人参加，12人发言。他们的旅费和住宿费都是由这项研究基金支持的。在这次研讨会上，断裂力学的数学家和理论研究人员在有趣的讲座后，就断裂现象进行了相互联系和讨论。第一次讲习班于1995年1月27日至29日举行，最近的一次讲习班于2000年11月10日至12日举行。申请者是FREEFEM+项目的成员，该项目的负责人是巴黎大学的皮龙诺教授6。另一位成员是巴黎第六大学的弗雷德里克·赫克特。我们在网站上发布了FREEFEM+，网址是：//www-rocq.inria.fr/Frederic.Hecht/FreeFemPlus.htm“.我的主要部分是MS-Windows版本的FreeFem+的用户界面。现在我为FreeFem+制作了可视化工具vffem，它显示了水平线、带阴影的三维图形、线框等。该软件是用OpenGL(GLUT)和C++构建的。我将在不久的将来出版《vffem》。

项目成果

K.Hayabusa,H.Inoue,K.Kishimoto and T.Shibuya: "Improvement of Accuracy of Inverse Analysis for Stress Separation in Thermoelastic Stress Analysis"JSME Internatinal Journal Series A. 43・4. 305-313 (2000)

K.Hayabusa、H.Inoue、K.Kishimoto 和 T.Shibuya：“热弹性应力分析中应力分离逆分析精度的提高”JSME 国际期刊系列 A. 43・4 (2000)。

Y.Kawamura,Y.Mu,and Y.Sumi: "Develop,emt of an automatic quadrilateral mesh generator for the simulation of curved crack growth"Trasactions of the Japan Society for Computational Engineering and Science. 1999002. 1-6 (1999)

Y.Kawamura、Y.Mu 和 Y.Sumi：“用于模拟弯曲裂纹扩展的自动四边形网格生成器的开发”日本计算工程学会会刊。

F.Chiba and T.Kako: "Satability and error analyses by energy estimate for Newmark's method"Research Report NIFS-PRO Series. 40. 82-91 (1999)

F.Chiba 和 T.Kako：“Newmark 方法能量估计的稳定性和误差分析”研究报告 NIFS-PRO 系列。

Nishioka,T.and Wang,Z.M: "The T^* Integral and the Separated T^* Integrals for Elastic-Plastic Interfacial Cracks" Constitutive and Damage Modeling of Inelastic Deformation and Phase Transformatiom,(A.S.Khan,editor). 741-744 (1999)

Nishioka,T. 和 Wang,Z.M：“弹塑性界面裂纹的 T^* 积分和分离 T^* 积分”非弹性变形和相变的本构和损伤建模，（A.S.Khan，编辑）。

S.Suzuki and Y.Chikayoshi: "Mode II crack extension behavior under compressive loads"JSCE Journal of Applied Mechanics. 3. 25-35 (2000)

S.Suzuki 和 Y.Chikayoshi：“压缩载荷下的 II 型裂纹扩展行为”JSCE 应用力学杂志。