Stress Concentration Factor Expression for a Tension Strip With an Eccentric Elliptical Hole

doi:10.3879/j.issn.1000-0887.2012.01.009

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Stress Concentration Factor Expression for a Tension Strip With an Eccentric Elliptical Hole[J]. Applied Mathematics and Mechanics, 2012, 33(1): 113-124. doi: 10.3879/j.issn.1000-0887.2012.01.009

Citation:

Stress Concentration Factor Expression for a Tension Strip With an Eccentric Elliptical Hole[J]. Applied Mathematics and Mechanics, 2012, 33(1): 113-124. doi: 10.3879/j.issn.1000-0887.2012.01.009

Citation:

Stress Concentration Factor Expression for a Tension Strip With an Eccentric Elliptical Hole[J]. Applied Mathematics and Mechanics, 2012, 33(1): 113-124. doi: 10.3879/j.issn.1000-0887.2012.01.009

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Stress Concentration Factor Expression for a Tension Strip With an Eccentric Elliptical Hole

doi: 10.3879/j.issn.1000-0887.2012.01.009

¹State Key Laboratory of Hydraulics and Mountain River Engineering, Chengdu 610065, P.R.China;²Department of Civil Engineering and Applied Mechanics, Sichuan University, Chengdu 610065, P.R.China

Received Date: 2011-07-01
Rev Recd Date: 2011-10-15
Publish Date: 2012-01-15

Abstract

Abstract

First, an explicit stress concentration factor expression for a tension finite-width strip with a central elliptical hole was formulated by using a semi-analytical and semi-empirical method. Comparing the results from this expression with those from Durelli’s photo-elastic experiment, Isida’s formula and finite element analysis, its accuracy was proved to be adequate and its application scope was wider. Then another explicit stress concentration factor expression for a tension strip with an eccentric elliptical hole was also obtained by using the similar method. Comparing results from the expression with the ones from Isida’s formula and finite element analysis, it is shown that this formula is with a wider application scope and more accurate. And when the eccentricity of elliptical hole was in a certain range, the error is less than 8%. Based on the relation between stress concentration central and stress intensity factor, a stress intensity factor expression for tension strips with a center or an eccentric crack was derived with the obtained stress concentration factor expressions. Compared with existing formulae and finite element analysis, this stress intensity factor expression is also with sufficient accuracy.
- stress concentration factor,
- explicit expression,
- eccentric elliptical hole,
- central elliptical hole,
- finite-width tension strip,
- semi-analytical method

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References(24)

References

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