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Determination of stress intensity factor with direct stress approach using finite element analysis

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Abstract

In this article, a direct stress approach based on finite element analysis to determine the stress intensity factor is improved. Firstly, by comparing the rigorous solution against the asymptotic solution for a problem of an infinite plate embedded a central crack, we found that the stresses in a restrictive interval near the crack tip given by the rigorous solution can be used to determine the stress intensity factor, which is nearly equal to the stress intensity factor given by the asymptotic solution. Secondly, the crack problem is solved numerically by the finite element method. Depending on the modeling capability of the software, we designed an adaptive mesh model to simulate the stress singularity. Thus, the stress result in an appropriate interval near the crack tip is fairly approximated to the rigorous solution of the corresponding crack problem. Therefore, the stress intensity factor may be calculated from the stress distribution in the appropriate interval, with a high accuracy.

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Acknowledgements

The authors gratefully acknowledge the financial support of the National Natural Science Foundation of China (Grant 11572226).

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    X. Ji, F. Zhu & P. F. He

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  1. X. Ji
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  2. F. Zhu
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  3. P. F. He
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Correspondence to X. Ji.

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Ji, X., Zhu, F. & He, P.F. Determination of stress intensity factor with direct stress approach using finite element analysis. Acta Mech. Sin. 33, 879–885 (2017). https://doi.org/10.1007/s10409-017-0640-4

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  • DOI: https://doi.org/10.1007/s10409-017-0640-4

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