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Brittle Material Design Using Three Parameter Weibull Distributions

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Probabilistic Methods in the Mechanics of Solids and Structures

Summary

The three parameter Weibull distribution is used as a basis for probabilistic design with brittle materials. Beam fracture data is analysed by a new technique to obtain the characteristic Weibull parameters which are then used in conjunction with the theory of independent action to predict failure in a multiaxial stress state.

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References

  1. Weibull, W.: A statistical distribution of wide applicability. J. App. Mech., 1951, 18, (3), 293–297.

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  2. Weil, N.; Daniel, M.: Analysis of fracture probabilities in non-uniformly stressed brittle materials. J. Amer. Cer. Soc., 1964, 47, (6), 268–274.

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  3. Stanley, P.; Fessier, H.; Sivill, A.: An engineer’s approach to the prediction of failure probability of brittle components. Proc. Brit. Cer. Soc., 1973, 22, 453.

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© 1985 Springer-Verlag, Berlin, Heidelberg

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Margetson, J., Cooper, N.R. (1985). Brittle Material Design Using Three Parameter Weibull Distributions. In: Eggwertz, S., Lind, N.C. (eds) Probabilistic Methods in the Mechanics of Solids and Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82419-7_23

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  • DOI: https://doi.org/10.1007/978-3-642-82419-7_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82421-0

  • Online ISBN: 978-3-642-82419-7

  • eBook Packages: Springer Book Archive

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