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Stress intensity factors of a plate with two cracks emanating from an arbitrary hole

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Abstract

In this paper, Muskhelishvili complex function theory and boundary collocation method are used to calculate the stress intensity factors (SIF) of a plate with two cracks emanating from an arbitrary hole. The calculated examples include a circular, elliptical, rectangular, or rhombic hole in a plate. The principle and procedure by the method is not only rather simple, but also has good accuracy. The SIF values calculated compare very favorably with the existing solutions. At the same time,the method can be used for different finite plate with two cracks emanating from a hole with more complex geometrical and loading conditions. It is an effective unified approach for this kind of fracture problems.

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References

  1. Bowie, O.L., Analysis of an infinite plate containing redial cracks originating at the boundary of an infinite circular hole,Journal of Mathematics and Physics,35 (1956), 60–71.

    Google Scholar 

  2. Nishitani, M. and M. Isida, Stress intensity factor for the tension of an infinite plate containing an elliptical hole with two symmetrical edge cracks,Transactions of the Japanese Society for Mechanical Engineers, 212 (1969).

  3. Neal, D.M., Stress intensity factors for cracks emanating from rectangular cutouts,International Journal of Fracture Mechanics,6 (1970), 393–400.

    Article  Google Scholar 

  4. Newman, J. C., An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries, NASA TN D-6376 (1971).

  5. Muskhelishvili, N. I.,Some Basic Problems of Mathematical Theory of Elasticity, Second English ed., Noordhoff (1975).

  6. Chen Yi-zhou and Chen Yi-heng, A mixed boundary problem for a finite internally cracked plate,Engineering Fracture Mechanis,14 (1981), 741–751.

    Article  Google Scholar 

  7. Wilson, W.K., Numerical method for determining stress intensity factors of an interior crack in a finite plate,ASME Journal of Basic Engineering,93 (1971), 685–690.

    Google Scholar 

  8. Kanninen, M. F. and C. H. Popelar,Advanced Fracture Mechanics, Oxford (1985).

  9. Tada, H., P. C. Paris and G. R. Irwin,The Stress Analysis of Cracks Handbook, Del Research Coorporation, Pennsylvania (1973).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan

    Wang Yuan-han

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  1. Wang Yuan-han
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Communicated by Hsueh Dah-wei

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Yuan-han, W. Stress intensity factors of a plate with two cracks emanating from an arbitrary hole. Appl Math Mech 11, 723–732 (1990). https://doi.org/10.1007/BF02015146

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  • DOI: https://doi.org/10.1007/BF02015146

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