[1]张传立,彭兴黔.分析表面裂纹的一种新方法[J].华侨大学学报(自然科学版),2005,26(2):164-167.[doi:10.3969/j.issn.1000-5013.2005.02.014]
　Zhang Chuanli,Peng Xingqian.A New Method for Analysing Surface Cracking[J].Journal of Huaqiao University(Natural Science),2005,26(2):164-167.[doi:10.3969/j.issn.1000-5013.2005.02.014]
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分析表面裂纹的一种新方法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第26卷
期数:
2005年第2期
页码:
164-167
栏目:
出版日期:
2005-04-20

文章信息/Info

Title:
A New Method for Analysing Surface Cracking
文章编号:
1000-5013(2005)02-0164-04
作者:
张传立; 彭兴黔
长江大学机械工程学院; 华侨大学土木工程学院 湖北荆州434023; 福建泉州362021
Author(s):
Zhang Chuanli1;  Peng Xingqian2
1.College of Mechanical Engineering, Yangtze University, 434023, Jingzhou, Hubei China; 2.College of Civil Engineering, Huaqiao University, 362021, Quanzhou, China
关键词:
表面裂纹;  边界积分方法;  应力强度因子;  张开位移
Keywords:
surface crack;  boundary integral method;  stress intensity factor;  opening displacement
分类号:
TB301
DOI:
10.3969/j.issn.1000-5013.2005.02.014
文献标志码:
A
摘要:
用边界积分方法,分析表面裂纹的张开位移和应力强度因子.此方法将埋在无穷大弹性介质中裂纹,模拟为连续分布的位错环.根据两个位错环之间的相互作用能,可以得到弹性体的应变能; 对弹性体的势能取极值,可以得到关于裂纹张开位移的边界积分方程.通过把半空间的边界模拟成一个包含在无穷大弹性介质中大裂纹,此法能很好的处理具有任意表面形状的表面裂纹.两个实验算例的计算结果与已有的解析解吻合很好,说明此方法的有效性和精确性.文中还分析具有表面台阶的表面裂纹的应力强度因子,结果有利于分析表面裂纹的扩展.
Abstract:
The boundary integral method is applied to the analysis of opening displacement and stress intensity factor of surface crack. The method simulates the crack hiding in infinitely large elastic media as dislocation loop in continuous distribution. According to interaction energy between two dislocation loops, we can obtain strain energy of elastic body; to take extrema from potential energy of elastic body, we can obtain boundary integral equation for the opening displacement of cracking. This method simulates the boundary in half-space into a large crack containing in an infinitely great elastic medium, by which the surface crack in arbitrary shape can be well-treated. The reckoning of two test examples is in good agreement with analytic solution now available, which accounts for the validity and the accuracy of this method. The authors also analyse the stress intensity factor of the surface crack with surface step,the results is beneficial to determine the direction of crack growth.

参考文献/References:

[1] Huang Yichau, Flidr-Newton T A, Hines M A. Dynamic repulsion of surface steps during step flow etching:Controlling surface roughness with chemistry [J]. Journal of Chemical Physics, 1998, (12):5025-5026.doi:10.1063/1.477115.
[2] Rooke D P, Rayaprolu D B, Aliabadi M H. Crack-line and edge Green′s functions for stress intensity factors of inclined edge cracks [J]. Fatigue & Fracture of Engineering Material & Structure, 1992.441-461.
[3] Sladek V, Sladek T. Three-dimensional curved crack in an elastic body [J]. International Journal of Solids and Structures, 1983(5):425-436.doi:10.1016/0020-7683(83)90053-7.
[4] Xu Guanshui, Ortiz M. A variational boundary integral method for the analysis of 3-D cracks of arbitrary geometry modeled as continuous distributions of dislocation loops [J]. International Journal for Numerical Methods in Engineering, 1993.3675-3701.
[5] Tada H, Paris P C, Irwin G R. The stress analysis of cracks handbook [M]. New York: ASME Press, 2000.78-104.
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备注/Memo

备注/Memo:
教育部科学技术研究重点课题基金资助项目(204090)
更新日期/Last Update: 2014-03-23