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Weibull Parameters and the Strength of Long Glass Fibers

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Flaws and Testing

Part of the book series: Fracture Mechanics of Ceramics ((FMOC,volume 3))

Abstract

Theoretical bimodal Weibull distributions were generated and various shapes of the resulting “linear” Weibull plots are shown. Data for the strength of 119 specimens of coated silica glass fibers 1m long are presented and a technique for extracting two distributions from the sample is described. Three methods of estimating Weibull parameters are compared for this experimental distribution.

This work was supported by the Naval Ocean Systems Center, Defense Advanced Research Projects Agency, and by NASA Grant NGL 48-002-004 to the University of Washington.

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References

  1. E.J. Gumbel, Statistics of Extremes, Columbia University Press, (1958).

    Google Scholar 

  2. E. J. Gumbel, “Statistical Theory of Extreme Values and Some Practical Applications,” Nat’l Bur. Stats. Appl. Math. Series, No. 33, (Feb. 1954).

    Google Scholar 

  3. Benjamin Epstein, “Application of the Theory of Extreme Values in Fracture Problems,” Amer. Statistical Association J., pp 403–12, (Sept. 1948).

    Google Scholar 

  4. Benjamin Epstein, “Statistical Aspects of Fracture Problems,” J. Appl. Phys, 19, [2], (1948).

    Google Scholar 

  5. W. Weibull, “A Statistical Theory of the Strength of Materials,” Proc. Royal Swedish Inst. for Eng. Res., No 151 (1939).

    Google Scholar 

  6. W. Weibull, “A Statistical Distribution Function of Wide Applicability,” J. Appl. Mech., p. 293–97, (Sept. 1951).

    Google Scholar 

  7. K. V. Bury, Statistical Models in Applied Science, Wiley, (1976)

    Google Scholar 

  8. B. K. Tariyal and D. Kalish, “Application of Weibull-type Analysis to the Strength of Optical Fibers,” Mat. Sci and Engr., 27, 69–71 (1977).

    Article  Google Scholar 

  9. D. Kalish, B. K. Tariyal, and R. O. Pickwick, “Strength and Gage Length Extrapolations in Optical Fibers,” Amer. Ceram. Soc. Bulletin, 56 [5], 491 (1977).

    Google Scholar 

  10. C. R. Kurkjian, R. V. Albarino, J. T. Krause, H. N. Vazirani, F. V. DiMarcello, S. Torza, and H. Schonhorn, “Strength of 0.04–50-M Lengths of Coated Fured Silica Fibers,” Appl. Phys. Let., 28, [10], 533–90 (1976).

    Google Scholar 

  11. R. D. Mauer, R. A. Miller, D. D. Smith, J. C. Trondsen, “Optimization of Optical Waveguides-Strength Studies,” Office of Naval Research, March 1974, AD777113.

    Google Scholar 

  12. D. R. Thoman, Lee J. Bain, C. E. Antle, “Inf erences on the Parameters of the Weibull Distribution,” Technometrics, 11, [3], 445–60, (1969).

    Article  Google Scholar 

  13. D. G. S. Davies, “The Statistical Approach to Engineering Design in Ceramics,” Proc. Brit. Ceram. Soc., p. 429–52, (1973).

    Google Scholar 

  14. Cuthbert Daniel and Fred S. Wood, Fitting Equations to Data, Wiley-Interscience, (1971).

    Google Scholar 

  15. Robert D. Mauer, Strength of Optical Waveguides, Applied Physics Letters, 27 [4] 220–21, (1975).

    Google Scholar 

  16. J. R. Matthews, F. A. McClintock and W. J. Shack, “Statistical Determination of Surface Flaw Density in Brittle Materials,” J. Amer. Ceram. Soc., 59 [7–8], 304–8, (1976).

    Article  CAS  Google Scholar 

  17. J. W. Heavens and P. N. Murgatroyd, “Analysis of Brittle Fracture Stress Statistics,” J. Amer. Ceram. Soc., 53 [9], 503–5, (1970).

    Article  CAS  Google Scholar 

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© 1978 Plenum Press, New York

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Scott, W.D., Gaddipati, A. (1978). Weibull Parameters and the Strength of Long Glass Fibers. In: Bradt, R.C., Hasselman, D.P.H., Lange, F.F. (eds) Flaws and Testing. Fracture Mechanics of Ceramics, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7017-2_8

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  • DOI: https://doi.org/10.1007/978-1-4615-7017-2_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7019-6

  • Online ISBN: 978-1-4615-7017-2

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