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Closed-form weight function for edge crack problems

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Abstract

An accurate crack surface opening displacement formula for edge cracks in finite bodies has been derived, and was subsequently used to develop wide-range closed-form weight functions for edge cracks. The analytical weight function is general and can be easily used to determine accurate stress intensity factors and crack surface opening displacements for arbitrarily loaded edge cracks with high efficiency. Examples have been given for problems of edge crack(s) with a number of typical load conditions for illustration.

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References

  1. Bueckner H E:ZAMM,50, (1970), 529–546.

    MATH  MathSciNet  Google Scholar 

  2. Rice J. R.International Journal of Solids and Structures 8, (1972), 751–758.

    Article  MATH  Google Scholar 

  3. Wu, X. R. and Carlsson, J.,Journal of the Mechanics and Physics of Solids,31, (1983), 485–497.

    Article  MATH  Google Scholar 

  4. Bueckner, H. F.,ZAMM,51, (1971), 97–109.

    MATH  MathSciNet  Google Scholar 

  5. Wu, X. R.Engineering Fracture Mechanics,20, (1984), 35–49.

    Article  Google Scholar 

  6. Orange, T. W., In Fracture Mechanics, Sixteenth Symposium, ASTM STP868, (1985), 95–105.

  7. Fett, T., Mattheck, C. and Munz, D.,Engineering Fracture Mechanics,27, (1987), 697–715.

    Article  Google Scholar 

  8. Stallybrass, M. P.,International Journal of Engineering Science,8, (1970), 351–362.

    Article  MATH  MathSciNet  Google Scholar 

  9. Benthem, J. P. and Koitor, W. T. Methods of Analysis and Solutions of Crack Problems, Ed. Sih, G. C. (1973), Noordhoff International Publishing.

  10. Keer, K. M. and Freedman J. M.,International Journal of Engineering Science,11, (1973), 1265–1275.

    Article  MATH  Google Scholar 

  11. Hartranft, R. J. and Sih, G. C., Methods of analysis and solutions of crack problems, Ed. Sih, G. C. (1973), Noordhoff International Publishing.

  12. Tada H., Paris, P. C. and Irwin, G. R., The stress analysis of cracks handbook, Del Research Corporation, Hellertown, Pa. (1973).

    Google Scholar 

  13. Kaya, A. C. and Erdogan, F.,International Journal of Fracture,16, (1980), 171–190.

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Acronautical Materials, 100095, Beijing

    Wu Xueren

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  1. Wu Xueren
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Xueren, W. Closed-form weight function for edge crack problems. Acta Mech Sinica 6, 151–159 (1990). https://doi.org/10.1007/BF02488446

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  • DOI: https://doi.org/10.1007/BF02488446

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