具有抛物线边界的二维弹性介质的Green函数

胡元太; 赵兴华

具有抛物线边界的二维弹性介质的Green函数

胡元太¹,
赵兴华²

1.
华中理工大学力学系, 武汉430074;
2.
上海市应用数学和力学研究所, 上海200072

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- 文章访问数: 1935
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- 被引次数: 0
出版历程
- 收稿日期: 1994-12-08
- 修回日期: 1995-12-15
- 刊出日期: 1996-05-15

Green’s Functions of Two-Dimensional Anisotropic Body with a Parabolic Boundary

Hu Yuantai¹,
Zhao Xinghua²

1.
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
2.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai 200072, P. R. China

摘要

摘要: 文章求解了具有抛物线边界的二维弹性介质的两种Green函数,一种是自由边界问题,另一种是刚性边界问题。我们还求得了当抛物线边界退化成半无限裂纹或半无限刚性裂纹时裂纹尖端的奇异场,得到了集中力作用于边界的基本解,这个基本解使得我们可以通过沿边界积分确定任意分布荷载的弹性解。
- Stroh公式 /
- 特征值 /
- 应力强度因子
Abstract: For two-dimensional anisotropic body with a parabolic boundary, the simple explicit expressions of Green's functions are presented when a concentraled force is applied at a point in material for two kind boundary conditions, which are of free surfoce and rigid surface. When parabolic curve degenerales into a half-infinite crack or a half-infinite rigid defect the stress singular fields near the crack tip are obtained by using the results obtained. Specially, when the concentrated force is applied at a point on the parabolic boundary, its Green's functions are studied, too. By them and their integral, the arbitrary parabolic boundary value problems can be solved. The limit case that the boundary degenerates into a crack is studied and the corresponding stress intensity factors are obtained.
- Stroh’s formalism /
- eigenvalue /
- stress intensity factors

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参考文献(15)

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