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Statistical analysis of the brittle fracture of sintered tungsten

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Abstract

A Weibull analysis was applied to the fracture data of sintered tungsten round bar specimens. Fracture data were obtained by performing flexural and tensile tests on these components. Two quantities were obtained which characterized the material variability and strength for each test method. The correlation between these quantities for the two test methods was found to be close.

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Abbreviations

C :

least square line intercept

P f :

failure probability

P if :

experimental failure probability

V :

specimen volume

W :

applied load

X :

horizontal coordinate of least square line

Y :

vertical coordinate of least square line

d :

specimen diameter

L :

distance between supporting knife edges

m :

Weibull modulus

v :

unit volume

σ :

stress

σ 0 :

normalizing stress

σ fV :

failure stress of specimen

σ fv :

unit volume failure stress of specimen

σ Bfv :

unit volume failure stress in bending

σ i :

experimental stress

Г :

gamma function

References

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

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  2. P. Stanley, H. Fessler andA. D. Sivill, “An engineers approach to the prediction of failure probability of brittle components”. Basic science portion of convention “Ceramic for Turbines and other High Temperature Engineering Applications”, Cambridge, UK (1972).

  3. E. T. Whittaker andG. N. Watson, “A course of modern analysis” (Cambridge University Press, Cambridge, 1963).

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  4. H. B. Dwight, “Tables of integrals and other mathematical data” (MacMillan, London, 1967).

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  5. G. J. Hahn andS. S. Shapiro, “Statistical models in engineering” (Wiley, New York, 1967).

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Authors and Affiliations

  1. Propellants, Explosives and Rocket Motor Establishment, Procurement Executive, Ministry of Defence, Westcott, Aylesbury, Bucks, UK

    J. Margetson & P. J. Sherwood

Authors
  1. J. Margetson
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  2. P. J. Sherwood
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Margetson, J., Sherwood, P.J. Statistical analysis of the brittle fracture of sintered tungsten. J Mater Sci 14, 2575–2580 (1979). https://doi.org/10.1007/BF00610625

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  • DOI: https://doi.org/10.1007/BF00610625

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