Solutions for a Circular Hole With Edge Cracks Under Shear Load

DUAN Shi-jie; LIU Shu-hong

doi:10.21656/1000-0887.360352

Volume 37 Issue 7

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DUAN Shi-jie, LIU Shu-hong. Solutions for a Circular Hole With Edge Cracks Under Shear Load[J]. Applied Mathematics and Mechanics, 2016, 37(7): 740-747. doi: 10.21656/1000-0887.360352

Citation:

DUAN Shi-jie, LIU Shu-hong. Solutions for a Circular Hole With Edge Cracks Under Shear Load[J]. Applied Mathematics and Mechanics, 2016, 37(7): 740-747. doi: 10.21656/1000-0887.360352

Citation:

DUAN Shi-jie, LIU Shu-hong. Solutions for a Circular Hole With Edge Cracks Under Shear Load[J]. Applied Mathematics and Mechanics, 2016, 37(7): 740-747. doi: 10.21656/1000-0887.360352

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Solutions for a Circular Hole With Edge Cracks Under Shear Load

doi: 10.21656/1000-0887.360352

DUAN Shi-jie¹,
LIU Shu-hong^2,3

¹School of Adult Education, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China;²Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China;³Key Laboratory for Health Monitoring and Control of Large Structures of Hebei Province, Shijiazhuang 050043, P.R.China

Received Date: 2015-12-24
Rev Recd Date: 2016-02-16
Publish Date: 2016-07-15

Abstract

Abstract

A 2D mechanical analysis was performed on an infinite plate containing a circular hole with two collinear edge cracks of unequal lengths, under uniformly distributed shear load at infinity. Based on the complex variable function method, the analytic solutions of stress functions and stress intensity factors were obtained. Through an numerical example, the stress distributions along the coordinate axes and the hole edge were given in the graphical form, and the stress intensity factors were also calculated. The results show that, there is obvious stress concentration near the hole and the cracks, and the stress values far from the defects tend towards the applied load, which conforms to the Saint-Venant’s principle. In addition, the results from the finite element simulation agree well with the analytic solutions, to prove the correctness of the theoretical derivation.
- crack,
- stress function,
- stress intensity factor,
- complex function,
- finite element method

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References(15)

References

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