非对称载荷作用的外部圆形裂纹问题

王银邦

非对称载荷作用的外部圆形裂纹问题

王银邦

兰州大学力学系, 兰州730000

基金项目: 国家自然科学基金资助项目((98)国科金外资助留学人员字第19810760157号);教育部西部基金资助项目(教外司留[1997]959号)

详细信息

作者简介:
王银邦(1956- ),男,甘肃人,教授,博士,博导,副院长.

中图分类号: O346.11
计量
- 文章访问数: 2655
- HTML全文浏览量: 184
- PDF下载量: 543
- 被引次数: 7
出版历程
- 收稿日期: 2000-03-21
- 修回日期: 2000-09-23
- 刊出日期: 2001-01-15

The Problem of an External Circular Crack Under Asymmetric Loadings

WANG Yin-bang

Department of Mechanics, Lanzhou University, Lanzhou 730000, P R China

摘要

摘要: 使用边界积分方程方法,研究了三维无限弹性体中受非对称载荷作用的外部圆形裂纹问题。通过使用Fourier级数和超几何函数,将问题的二维边界奇异积分方程简化为Abel型方程,获得了一般非对称载荷作用的外部圆形裂纹问题的应力强度因子精确解,比用Hankel变换法得到的结果更为一般。结果表明:边界积分方程法在解析分析方面还有很大的潜力。
- 外部圆形裂纹 /
- 非对称载荷 /
- 边界积分方程 /
- Abel方程 /
- 应力强度因子 /
- 精确解
Abstract: Using the boundary integral equation method,the problem of an external circular crack in a three-dimensional infinite elastic body under asymmetric loadings is investigated.The two-dimen-sional singular boundary integral equations of the problem were reduced to a system of Abel integral equations by means of Fourier series and hyper geometric functions.The exact solutions of stress intensity factors are obtained for the problem of an external circular crack under asymmetric loadings, which are even more universal than the results obtained by the use of Hankel transform method.The results demonstrate that the boundary integral equation method has great potential as a new analytic method.
- external circular crack /
- asymmetric loadings /
- boundary integral equations /
- Abel equations /
- stress intensity factors /
- exact solutions

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参考文献(17)

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