边界元法计算浅表面裂纹应力强度因子.pdf

文档介绍：
第 32 卷第 4 期合肥工业大学学报( 自然科学版) Vol. 32 No . 4

2009 年 4 月 JO U RN AL O F H EFEI U N IV ERSIT Y OF T ECH N OL O GY Apr. 2009
边界元法计算浅表面裂纹应力强度因子
程长征1 ,
牛忠荣1 ,
叶建乔1, 2
( 1. 合肥工业大学土木与水利工程学院, 安徽合肥
230009; 2. 利兹大学土木工程学院, 利兹 LS 2 9JT, 英国)
摘
要: 文章在常规边界元法中引入几乎奇异积分的解析算法, 来计算浅表面裂纹的应力强度因子, 并给出了
一个二维平板中有浅表面裂纹的算例。处理了几乎奇异积分的边界元法可以有效分析离表面仅为 0
5
m
的浅表面裂纹。结果显示, 随着距表面距离的减小, 裂纹的应力强度因子收敛于常数, 但其大小与无限大板中
裂纹的应力强度因子有很大差别。
关键词: 浅表面裂纹; 应力强度因子; 边界元法; 几乎奇异积分
中图分类号: O 346
1
文献标识码: A
文章编号: 1003- 5060( 2009) 04- 0503- 05
Evaluation of the stress intensity factor of the crack close to
the surface by the boundary element method
CH EN G Chang-zheng1 ,
NIU Zhong-rong1 ,
YE Jian-qiao1, 2
( 1. School of Civil and Hydraulic Engin eering, H efei University of T echnology, H efei 230009, China; 2. School of Civil Engin eering, U-
niversity of Leeds, Leeds, LS2 9JT, UK)
Abstract: The analytic algo rithm of nearly sing ular integ rals is introduced into the co nventio nal bound-
ary element method( BEM ) to calculate the stress intensity facto rs ( SIF) of the crack very close to the
surface. A crack under the subsurface of a plate is numerically tested as an example. The pr esented
BEM can essfully evaluate the SIF even w hen the distance betw een the cr ack and the surface is
0
5
m. The r esults show that the SIF co nv erg e to a constant as the distance from the cr