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The approximate solution of penny-shaped cracks periodically distributed in infinite elastic body

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Abstract

The penny-shaped cracks periodically distributed in infinite elastic body are studied. The problem is approximately simplified to that of a single crack embedded in finite length cylinder and the stress intensity factor is obtained by solving a Fredholm integral equation. Numerical results are given and the effects of crack interaction on the stress intensity factor are discussed.

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References

  1. Sneddon I N and Lowengrub M. Crack Problems in the Classical Theory of Elasticity. John Wiley and Sons, 1969

  2. Sneddon I N. Int J Engng Sci, 1963, 1: 391–409

    Article  MathSciNet  Google Scholar 

  3. Nied H A and Arin K Fracture Mechanics of Ceramics. N. Y.: Plenum Press, 1977. Vol. 3, 67–83

    Google Scholar 

  4. Sneddon I N. Mixed boundary value problems in potential theory. North Holland Publishing Co., 1966

  5. Sneddon I N and Srivastav R P. Proc Royal Society of Edinburgh. Sect A, 1964, 66: 150–172

    MATH  MathSciNet  Google Scholar 

  6. Gradshteyn I S and Ryzhik I M. Tables of Integrals, Series and Products. Academic Press, 1980

  7. Zhou Jianping. The Doctor Thesis of Engineering Science, National Univ of Defence Tech, Oct. 1989 (in Chinese)

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The project suppoted by National Natural Science Foundation of China

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Jianping, Z., Yinchu, L. The approximate solution of penny-shaped cracks periodically distributed in infinite elastic body. Acta Mech Sinica 8, 61–68 (1992). https://doi.org/10.1007/BF02486917

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  • DOI: https://doi.org/10.1007/BF02486917

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