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Ring-on-Ring Tests and the Modeling of Cladding Glass Strength by the Weibull Distribution

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Probabilistic Methods in the Mechanics of Solids and Structures

Summary

Although ring-on-ring test results have been used in the past to obtain information on the strength of glass, no methodology has so far been developed explicitly relating such results to the load capacity of cladding glass panels. The purpose of this paper is to propose such a methodololgy. Evidence is presented which strongly suggests that the probability distribution of the load capacity of cladding glass panels whose failure is due to surface flaws can be estimated reliably on the basis of results of ring-on-ring tests used in conjuction with: (a) numerical methods for the analysis of stresses in plates, and (b) information on the elastic and fracture mechanics behavior of glass currently available or that can be obtained routinely. Two interesting findings are noted. First, owing to the way in which results of ring-on-ring tests are utilized, the relatively large variabilities typical of fracture mechanics parameters as well as the uncertainties with respect to the shapes of surface flaws have a minor effect on the estimation of load capacities. Second, two-parameter Weibull distributions, previously used in the literature to model the strength of glass and the load capacity of cladding panels,are not consistent with experimental results. On the other hand, three-parameter Weibull distributions model the observed glass behavior credibly.

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References

  1. Wiederhorn, S. M., Subcritical Crack Growth in Ceramics, Frac. Mech. Ceramics, Vol. 2, Plenum Press, 1974.

    Google Scholar 

  2. Vallabhan, C. V. G. and Wang, B. Y. -T., Nonlinear Analysis of Rectangular Glass Plates by Finite Difference Method, Texas Tech University, 1981.

    Google Scholar 

  3. Simiu, E. et al., Ring-on-Ring Testing and Load Capacity of Cladding Glass, National Bureau of Standards, Washington, DC, 1984.

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  4. Batdorf, S. B., Fundamentals of the Statistical Theory of Fracture, Frac. Mech. Ceramics, Vol. 3, Plenum Press, 1981.

    Google Scholar 

  5. Marshall, D. B., An Improved Biaxial Flexure Test for Ceramics, Ceramic Bulletin, (1980), 551–553.

    Google Scholar 

  6. Lawn, B. R., Fatigue Analysis of Brittle Materials Using Indentation Flaws, J. Mat. Sci., (1981), pp. 2846–2854.

    Google Scholar 

  7. Lemon, G. H., Maximum Likelihood Estimation for the Three-Parameter Weibull Distribution Based on Censored Samples, Technometr. (1975), 247–254.

    Google Scholar 

  8. PPG Glass Thickness Recommendations to Meet Architects Specified 1-Minute Wind Load, PPG Industries, 1979.

    Google Scholar 

  9. Krall, W. R. et al., The Behavior of Flat Glass Under Uniform Wind Loading, Fourth U.S. Nat. Conf. Wind Eng. Res., Univ. Wash., 1981.

    Google Scholar 

  10. L.O.F. Technical Information — Strength of Glass Under Wind Loads, 805–109, Toledo, OH, 1980

    Google Scholar 

  11. Ontario Research Foundation, Dynamic Fatigue of Flat Glass - Phase II, Final Report (67039), 1982.

    Google Scholar 

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© 1985 Springer-Verlag, Berlin, Heidelberg

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Simiu, E., Reed, D.A. (1985). Ring-on-Ring Tests and the Modeling of Cladding Glass Strength by the Weibull Distribution. 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_24

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  • DOI: https://doi.org/10.1007/978-3-642-82419-7_24

  • 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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