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Statistical approach to brittle fracture

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Abstract

A general expression for the failure probability of a brittle material is developed by using the properties of flaw size distribution and the stress necessary to fracture an inclined crack. A comparison is made with Weibull analysis and an expression for the Weibull modulus, which is known to be an empirical material constant, is related to the properties of the flaw size distribution of a material. Limitations in the application of Weibull analysis are also discussed.

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References

  1. W. Weibull, J. Appl. Mech. 18 (1951) 293.

    Google Scholar 

  2. G. C. Sih, Int. J. Fracture 10 (1974) 305.

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  3. A. De S. Jayatilaka, I. J. Jenkins and S. V. Prasad, 4th International Conference on Fracture, Canada (June 1976). (ICF4 Publ., Waterloo, 1976).

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  4. J. D. Poloniecki, D. Phil. Thesis, University of Sussex. 1974

  5. J. D. Poloniecki and T. R. Wilshaw, Nature 229 (1971) 226.

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  6. K. W. Mitchell, HMSO publ. 56/57 (December 1966).

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Jayatilaka, A.D.S., Trustrum, K. Statistical approach to brittle fracture. J Mater Sci 12, 1426–1430 (1977). https://doi.org/10.1007/BF00540858

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  • DOI: https://doi.org/10.1007/BF00540858

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