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A probability model for evaluating the effectiveness of the Heat Soak Test

  • Antonio Bonati
  • Gabriele PisanoEmail author
  • Gianni Royer Carfagni
S.I.: Glass Performance Paper

Abstract

The potential presence of Nickel Sulfide (NiS), which contaminates glass melt, can provoke “spontaneous” rupture even after years from installation. This is why most standards recommend that glass panels bearing a safety risk are subjected to the Heat Soak Test (HST): they are exposed to a certain temperature for a certain time so to destroy the glass panes affected by critical NiS inclusions before installation. A micro-mechanically motivated model for assessing the risk of spontaneous failure of thermally-treated glass is here proposed. This correlates the statistical expectation of finding a critical NiS inclusion with the breakage consequent to its volumetric expansion due to phase transformation. Three functions à la Weibull for the probability of spontaneous rupture during lifetime are derived for the case of no HST, short HST and long HST. This analysis may contribute to solve the long-standing problem of defining the risk of spontaneous breakage in glass due to NiS inclusions, by assessing the optimal holding time of the HST as a function of the risk reputed acceptable for the particular application of glass. A parametric analysis shows the potentiality of the proposed approach.

Keywords

NiS inclusion Toughened glass Tempered glass Heat Soak Test Weibull statistics 

Notes

Acknowledgements

GRC acknowledges the support of the Italian Dipartimento della Protezione Civile under Project ReLUIS-DPC 2019–2021 and the support of the Italian Ministero dell’Istruzione, dell’Università e della Ricerca under Grant MIUR-PRIN voce COAN 5.50.16.01 code 2015JW9NJT.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

References

  1. Ballantyne, E.R.: Report 061-5. Technical Report, CSIRO. Division of Building Research (1961)Google Scholar
  2. Bonati, A., Pisano, G., Royer Carfagni, G.: A statistical model for the failure of glass plates due to nickel sulphide inclusions. J. Am. Ceram. Soc. 102(5), 2506–2521 (2019)Google Scholar
  3. Célarié, F., Prades, A., Bonamy, D., Ferrero, L., Bouchaud, W., Guillot, C., Marliére, C.: Glass breaks like metal, but at the nanometer scale. Phys. Rev. Lett. 90, 075504 (2003)Google Scholar
  4. Ciccotti, M.: Stress-corrosion mechanisms in silicate glasses. J. Phys. D Appl. Phys. 42, 1–18 (2009)Google Scholar
  5. Freiman, S.W., Wiederhorn, S.M., Mecholsky Jr., J.J.: Environmentally enhanced fracture of glass: a historical perspective. J. Am. Ceram. Soc. 92(7), 1371–1382 (2009)Google Scholar
  6. Guin, J.P., Wiederhorn, S.M.: Fracture of silicate glasses: ductile or brittle? Phys. Rev. Lett. 92(21), 215502 (2004)Google Scholar
  7. Guin, J.P., Wiederhorn, S.M.: Surfaces formed by subcritical crack growth in silicate glasses. Int. J. Fract. 140(1), 15–26 (2006)zbMATHGoogle Scholar
  8. Karlsson, S.: Spontaneous fracture in thermally strengthened glass—a review and Outlook. Ceram. Silikàty 61(3), 188–201 (2017)Google Scholar
  9. Kasper, A.: Spontaneous cracking of thermally toughened safety glass. Part one: properties of nickel sulphide inclusions. GLAS Struct. Eng. (2019a).  https://doi.org/10.1007/s40940-018-0083-8 Google Scholar
  10. Kasper, A.: Spontaneous cracking of thermally toughened safety glass. Part three: statistic evaluation of field breakage records and consequences for residual breakage probability. GLAS Struct. Eng. (2019b).  https://doi.org/10.1007/s40940-018-00093-z Google Scholar
  11. Kasper, A., Pyeonglae, N., Yuan, Z.: Spontaneous cracking of thermally toughened safety glass. Part two: nickel sulphide inclusions identified in annealed glass. GLAS Struct. Eng. (2019).  https://doi.org/10.1007/s40940-018-00092-0 Google Scholar
  12. Lawn, B.R.: Fracture of Brittle Solids, 2nd edn. Cambridge University Press, Cambridge (1993)Google Scholar
  13. Merker, L.: Zum verhalten des nickelsulfids im glas. Glastech. Berichte 47(16), 116–121 (1974). (in German)Google Scholar
  14. Murgatroyd, J.B.: Mechanism of brittle rupture. Nature 154, 51–52 (1944)Google Scholar
  15. Norville, H.S., Sheridan, D.L., Lawrence, S.L.: Strength of new heat treated window glass lites and laminated glass units. ASCE J. Struct. Eng. 119(3), 891–901 (1993)Google Scholar
  16. Prades, S., Bonamy, D., Dalmas, D., Bouchaud, E., Guillot, C.: Nano-ductile crack propagation in glasses under stress corrosion: spatiotemporal evolution of damage in the vicinity of the crack tip. Int. J. Solids Struct. 42(2), 637–645 (2005)zbMATHGoogle Scholar
  17. Schneider, J., Hilcken, J.: Nickel sulphide (NiS-) induced failure of glass: fracture mechanics model and verification by fracture data. In: Proceedings of International Conference at Glasstec. Engineered Transparency, Düsseldorf DE, 125-136 (2010)Google Scholar
  18. Swain, M.V.: Nickel sulphide inclusions in glass: an example of microcracking induced by a volumetric expanding phase change. J. Mater. Sci. 16, 151–158 (1981)Google Scholar
  19. Tomozawa, M.: Stress corrosion reaction of silica glass and water. Phys. Chem. Glasses 39(2), 65–69 (1998)Google Scholar
  20. Yousfi, O.: Transformations de phase des Sulfures de Nickel dans les verres tremps (Phase transformation of Nickel Sulphide in glass). Ph.D. Thesis, Institut National Polytechnique de Grenoble, FR (2009)Google Scholar
  21. Weibull, W.: A statistical theory of the strength of materials. Ingenirsvetenskapsakademiens Handl. 151, 1–45 (1939)Google Scholar
  22. Weidmann, G.W., Holloway, D.G.: Plastic flow-slow crack-propagation and static fatigue in glass. Phys. Chem. Glasses 15(3), 68–75 (1974)Google Scholar
  23. Wiederhorn, S.M.: Influence of water vapor on crack propagation in soda-lime glass. J. Am. Ceram. Soc. 50, 407–414 (1967)Google Scholar
  24. Wiederhorn, S.M.: Fracture surface energy of glass. J. Am. Ceram. Soc. 52(2), 99–105 (1969)Google Scholar
  25. Wiederhorn, S.M., Bolz, L.H.: Stress corrosion and static fatigue of glass. J. Am. Ceram. Soc. 53(10), 543–548 (1970)Google Scholar
  26. Wiederhorn, S.M., Freiman, S.W., Fuller Jr., E.R., Simmons, C.J.: Effects of water and other dielectrics on crack growth. J. Mater. Sci. 17, 3460–3478 (1982)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.CNR-ITC National Research CouncilInstitute for Construction TechnologiesSan Giuliano MilaneseItaly
  2. 2.Department of Engineering and ArchitectureUniversity of ParmaParmaItaly

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