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Probabilistic strength of glass cylinders subjected to flexure: total and local probabilities of fracture

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Abstract

The parameters of the specific-risk-of-fracture function of Weibull were determined for glass cylinders subjected to flexure. The total probability of fracture was used considering the maximum stress of fracture, and considering also the location of fracture. Weibull's parameter m obtained by means of both procedures is in keeping with theory and it amounts to m = 7.5. In addition, the dispersion of Weibull's parameters was studied using the inversion of Fisher's information matrix, whose values showed a correct execution of testing. Moreover, the distribution of fracture time during testing was investigated, and neither fracture stresses nor location thereof exhibited whatever influence attributable to this time.

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References

  1. W. WEIBULL, Ing. Vetenskaps Akad. Handl. 151 (1939) 1.

    Google Scholar 

  2. P. KITTL and G. DIAZ, Res. Mech. 24 (1988) 99.

    Google Scholar 

  3. Idem., Reliab. Engng. Syst. Saf. 25 (1989) 157.

  4. P. KITTL, E. CROQUEVIELLE, M. LEON and G. DIAZ, Cerâmica 32 (1986) 255.

    Google Scholar 

  5. M. LEON, P. KITTL, E. CROQUEVIELLE and G. DIAZ, J. Mater. Sci. Lett. 9 (1990) 311.

    Google Scholar 

  6. G. DIAZ and P. KITTL, Res. Mech. 24 (1988) 209.

    Google Scholar 

  7. P. KITTL and G. DIAZ, Engng. Fract. Mech. 32 (1989) 259.

    Google Scholar 

  8. M. LEON and P. KITTL, J. Mater. Sci. 20 (1985) 3778.

    Google Scholar 

  9. G. DIAZ and M. MORALES, ibid. 23 (1988) 2444.

    Google Scholar 

  10. P. KITTL, M. LEON and G. M. CAMILO, In “Advances in Fracture Research,” edited by S. R. Valluri, D. M. R. Tapling, P. Ramarao, J. F. Knott and R. Dubey (Pergamon, Oxford, 1984) p. 2743.

    Google Scholar 

  11. P. KITTL, G. DIAZ and M. MORALES, Theor. Appl. Fract. Mech. 13 (1990) 251.

    Google Scholar 

  12. A. MOOD and F. A. GRAYBILL, “Introduction to the Theory of Statistics” (McGraw-Hill, New York, 1962).

    Google Scholar 

  13. V. MARTINEZ, P. KITTL and G. DIAZ, J. Mater. Sci. 27 (1992) 1457.

    Google Scholar 

  14. K. TRUSTRUM, J. Mater. Sci. Lett. 6 (1987) 1351.

    Google Scholar 

  15. A. G. EVANS and R. L. JONES, J. Am. Ceram. Soc. 61 (1978) 156.

    Google Scholar 

  16. P. KITTL and G. M. CAMILO, Res. Mech. Lett. 1 (1981) 115.

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Ingeniería de los Materiales, IDIEM, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 1420, Santiago, Chile

    G. Díaz

  2. Departamento de Ingeniería Mecánica, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 2777, Santiago, Chile

    P. Kittl

  3. Empresa Consultora, INGENDESA, Casilla 170, Santiago, Chile

    V. H. Martínez

  4. Departamento de Ingeniería Mecánica, Facultad de Ingeniería, Universidad de Antofagasta, Casilla 170, Antofagasta, Chile

    R. Henríquez

Authors
  1. G. Díaz
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  2. P. Kittl
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  3. V. H. Martínez
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  4. R. Henríquez
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Díaz, G., Kittl, P., Martínez, V.H. et al. Probabilistic strength of glass cylinders subjected to flexure: total and local probabilities of fracture. Journal of Materials Science 37, 1437–1441 (2002). https://doi.org/10.1023/A:1014501503416

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