Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (1): 117-128.doi: https://doi.org/10.1007/s10483-012-1537-7

• Articles • 上一篇    下一篇

Stress concentration factor expression for tension strip with eccentric elliptical hole

罗林1,2 向宇2 王启智1,2   

  1. 1. State Key Laboratory of Hydraulics and Mountain River Engineering, Chengdu 610065, P. R. China;
    2. Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu 610065, P. R. China
  • 收稿日期:2011-06-28 修回日期:2011-12-15 出版日期:2011-12-29 发布日期:2012-01-01

Stress concentration factor expression for tension strip with eccentric elliptical hole

 LUO Lin1,2, XIANG Yu2, WANG Qi-Zhi1,2   

  1. 1. State Key Laboratory of Hydraulics and Mountain River Engineering, Chengdu 610065, P. R. China;
    2. Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu 610065, P. R. China
  • Received:2011-06-28 Revised:2011-12-15 Online:2011-12-29 Published:2012-01-01

摘要: Two explicit expressions of the stress concentration factor for a tension finite-width strip with a central elliptical hole and an eccentric elliptical hole, respectively, are formulated by using a semi-analytical and semi-empirical method. Accuracy of the results obtained from these expressions is better, and application scope is wider, than the results of Durelli’s photo-elastic experiment and Isida’s formula. When eccentricity of the elliptical hole is within a certain range, the error is less than 8%. Based on the relation between the stress concentration factor and the stress intensity factor, a stress intensity factor expression for tension strips with a center or an eccentric crack is derived with the obtained stress concentration factor expressions. Compared with the existing formulae and the finite element analysis, this stress intensity factor expression also has sufficient accuracy.

Abstract: Two explicit expressions of the stress concentration factor for a tension finite-width strip with a central elliptical hole and an eccentric elliptical hole, respectively, are formulated by using a semi-analytical and semi-empirical method. Accuracy of the results obtained from these expressions is better, and application scope is wider, than the results of Durelli’s photo-elastic experiment and Isida’s formula. When eccentricity of the elliptical hole is within a certain range, the error is less than 8%. Based on the relation between the stress concentration factor and the stress intensity factor, a stress intensity factor expression for tension strips with a center or an eccentric crack is derived with the obtained stress concentration factor expressions. Compared with the existing formulae and the finite element analysis, this stress intensity factor expression also has sufficient accuracy.

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