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Stress concentration factor expression for tension strip with eccentric elliptical hole

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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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Authors and Affiliations

  1. State Key Laboratory of Hydraulics and Mountain River Engineering, Chengdu, 610065, P. R. China

    Lin Luo  (罗 林) & Qi-zhi Wang  (王启智)

  2. Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu, 610065, P. R. China

    Lin Luo  (罗 林), Yu Xiang  (向 宇) & Qi-zhi Wang  (王启智)

Authors
  1. Lin Luo  (罗 林)
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  2. Yu Xiang  (向 宇)
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  3. Qi-zhi Wang  (王启智)
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Corresponding author

Correspondence to Qi-zhi Wang  (王启智).

Additional information

Project supported by the National Natural Science Foundation of China (No. 51179115)

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Luo, L., Xiang, Y. & Wang, Qz. Stress concentration factor expression for tension strip with eccentric elliptical hole. Appl. Math. Mech.-Engl. Ed. 33, 117–128 (2012). https://doi.org/10.1007/s10483-012-1537-7

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  • DOI: https://doi.org/10.1007/s10483-012-1537-7

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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