集中力作用下的半平面边缘裂纹问题

陈宜周; 长谷部宣男

集中力作用下的半平面边缘裂纹问题

陈宜周¹,
长谷部宣男²

1.
江苏理工大学数理系工程力学研究所, 江苏镇江, 212013;
2.
名古屋工业大学土木系, 日本名古屋

详细信息

作者简介:
陈宜周(1935- ),男,浙江余姚人,教授,博士.

中图分类号: O346
计量
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- 被引次数: 0
出版历程
- 收稿日期: 2000-09-25
- 修回日期: 2001-04-08
- 刊出日期: 2001-11-15

An Edge Crack Problem in a Semi-Infinite Plane Subjected to Concentrated Forces

CHEN Yi-zhou¹,
Norio Hasebe²

1.
Division of Engineering Mechanics, Jiangsu University of Science and Technology, Zhenjiang 212013, P R China;
2.
Department of Civil Engineering, Nagoya Institute of Technology, Gokiso-cho Showa-ku, Nagoya 466, Japan

摘要

摘要: 讨论了半平面中的倾斜裂纹问题。集中力作用于裂纹表面上,或作用于开裂半平面的边界上。利用有理保角映像函数方法求解这个问题,同时得到了闭合形式的解。最后,给出了二个数值例子和计算结果。
- 有理保角映像函数方法 /
- 半平面边缘裂纹问题 /
- 应力强度因子
Abstract: An oblique edge crack problem in a semi-infinite plane is discussed.The concentrated forces are applied on the edge crack face,or on the line boundary of the cracked semi-infinite plane. The rational mapping function approach is suggested to solve the boundary value problem and a solution in a closed form is obtained.Finally,several numerical examples with the calculated results are given.
- rational mapping function approach /
- edge crack problem /
- stress intensity factor

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参考文献(14)

[1]	Hartranft R J, Sih G C. Alternating method applied to edge and surface crack problems[A]. In: G C Sih Ed. Mechanics of Fracture[C]. Vol 1,1973,177-238.
[2]	Nisitani H. Stress intensity factor for the tension of a semi-infinite plate having an oblique or a bent edge crack[J]. Trans Japan Soc Mech Engrs,1975,41(344):1103-1110.
[3]	Hasebe N, Inohara S. Stress analysis of a semi-infinite plate with an oblique edge crack[J]. Ingen Arch,1980,49(1):51-62.
[4]	Hasebe N. An edge crack in semi-infinite plate welded to a rigid stiffener[J]. Proc Japan Soc Civil Engrs,1981,314(10):149-157.
[5]	Hasbe N, Okumura M, Takeuchi T, et al. Mixed boundary value problem of simple support type in plane elasticity[J]. Acta Mech,1988,73(1):199-212.
[6]	Okumura M, Hasebe N, Nakamura T. A crack and a debonding at an end of a simple support in plane elasticity[J]. Acta Mech,1988,74(1):139-153.
[7]	Hasebe N, Nakamura T, Ito Y. Analysis of the second mixed boundary value problem for a thin plate[J]. J Appl Mech,1994,61(3):555-559.
[8]	Imai I. Conformal Mapping and its Application[M]. Tokyo: Iwanami Shoten,1979.
[9]	Mushelishvili N I. Some Basic Problems of Mathematical Theory of Elasticity[M]. Gronigen: Noordhoff,1953.
[10]	Hasebe N, Okumura M, Nakamura T. Bonded bi-materials half-planes with semi-elliptical notch under tension along the interface[J]. J Appl Mech,1992,59(1):77-83.
[11]	CHEN Yi-zhou. Elastic analysis of an infinite plate containing hole with cusps and applied by concentrated forces[J]. Engng Fract Mech,1984,20(4):573-582.
[12]	Hasebe N, Chen Y Z. Interaction between a hole edge crack and a line crack[J]. Int J Fract,1996,77(4):351-366.
[13]	Hasebe N, Horiuchi Y. Stress analysis for a strip with semi-elliptical notches or cracks on both sides by means of rational mapping function[J]. Ingen arch,1978,47:169-179.
[14]	Hasebe N, Natsuura S. Stress analysis of a strip with a step and a crack[J]. Engng Fract Mech,1984,20(3):447-460.