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: 2365
- HTML全文浏览量: 97
- PDF下载量: 541
- 被引次数: 0
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

HTML全文

参考文献(17)

[1]	Snyder M D, Cruse T A. Boundary integral equati on analysis of cracked anisotropic plates[J]. Int J Fract,1975,11(2):315-328.
[2]	Crouch S L. Solution of plane elasticity problems by the displacement discontinuity method[J]. Int J Numer Meth Eng,1976,10 (2):301-343.
[3]	Blandford G E, Ingraffea A R, Liggett J A. Two-dimensional stress intensity factor computations using the boundary element method[J]. Int J Numer Meth Eng,1981,17(2):387-404.
[4]	Portela A, Aliabadi M H, Rooke D P. The dual boundary element method: effective implementation for crack problems[J]. Int J Numer Meth Eng,1 992,33(6):1269-1287.
[5]	Bui H D. An integral equations method for solving the problem of a plane crack of arbitrary shape[J]. J Mech Phys Solids,1977,25(1):29-39.
[6]	Weaver J. Three-dimensional crack analysis[J]. Int J Solids Structures,1977,13(4):321-330.
[7]	WANG Yin-bang. A new boundary integral equation method of three-dimensional crack analysis[J]. Int J Fract,1993,63(4):317-328.
[8]	WANG Yin-bang, CHEN Wei-jiang. Interaction of two equal coplanar square cracks in three-dimensional elasticity[J]. Int J Solids Structures,1993,30(23):3315-3320.
[9]	WANG Yin-bang, Chau K T. A new boundary element method for plane elastic problems involving cracks and holes[J]. Int J Fract,1997,87(1):1-20.
[10]	王银邦. 外部圆形裂纹轴对称问题的边界积分方程解法[J]. 兰州大学学报,1993,29(1):19-24.
[11]	王银邦. 双弹性材料界面裂纹平面问题的边界积分程解法[J]. 兰州大学学报,1995,31(1):14-21.
[12]	王银邦,王海峰. 圆形裂纹分析的边界积分方程方法[J]. 兰州大学学报,1997,33(1):33-38.
[13]	Chau K T, WANG Yin-bang. A new boundary integral formulation for plane elastic bodies containing cracks and holes[J]. Int J Solids Structures,1999,36(14):2041-2074.
[14]	Chau K T, WANG Yin-bang. Singularity analysis and boundary integral equation method for frictional crack problems in two-dimensional elasticity[J]. Int J Fracture,1998,90(3):251-274.
[15]	Kassir M K, Sih G C. Three Dimensional Crack Problems[M]. Leyden: Noordhoff International Publishing,1975.
[16]	Kupradze V D. Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity[M]. Amsterdam: North-Holland Publishing Company,1979.
[17]	Gradshteyn I S, Ryzhik I M. Table of Integrals Series and Products[M]. New York: Academic Press,1980