Technical Papers
Jan 31, 2022

Calibration of the Statistical-Interference Factors for the Design of Tempered Structural Glass

Publication: Journal of Engineering Mechanics
Volume 148, Issue 4

Abstract

Thermal tempering can induce a permanent residual prestress in glass, which is beneficial because it compensates for the low tensile strength of the material. The characteristic design resistance of tempered glass is usually fixed as the simple sum of the 5% quantiles of the statistical distributions of pristine glass strength and heat-induced surface prestress, but this definition neglects the positive contribution of the statistical interference between the two stochastic variables. Here, a verification formula for structural design is discussed, in which this effect is considered through a statistical-interference factor. Its calibration is now obtained by comparing level III (full probabilistic) and level I (semiprobabilistic) methods of design in paradigmatic case studies, illustrative for a wide range of applications, which differ for what concerns the size effect, the level of prestress, the duration of applied actions, and the class of consequence. The results show that consideration of the interference factor can lead to significant savings in terms of material consumption.

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Data Availability Statement

All data and models that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This research has not been supported by any specific grand from funding agencies in the public, commercial and not-for-profit sectors.

References

Aben, H., J. Anton, A. Errapart, S. Hodemann, J. Kikas, H. Klaassen, and M. Lamp. 2010. “On non-destructive residual stress measurement in glass panels.” Est. J. Eng. 16 (2): 150–156. https://doi.org/10.3176/eng.2010.2.04.
Badalassi, M., L. Biolzi, G. Royer Carfagni, and W. Salvatore. 2014. “Safety factors for the structural design of glass.” Constr. Build. Mater. 55: 114–127. https://doi.org/10.1016/j.conbuildmat.2014.01.005.
Ballarini, R., G. Pisano, and G. Royer Carfagni. 2016b. “New calibration of partial material factors for the structural design of float glass. Comparison of bounded and unbounded statistics for glass strength.” Constr. Build. Mater. 121: 69–80. https://doi.org/10.1016/j.conbuildmat.2016.05.136.
Ballarini, R., G. Pisano, and G. Royer Carfagni. 2016a. “The lower bound for glass strength and its interpretation with generalized Weibull statistics for structural applications.” J. Eng. Mech. 142 (12): 04016100. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001151.
Carré, H., and L. Daudeville. 1999. “Load-bearing capacity of tempered structural glass.” J. Eng. Mech. 125 (8): 914–921. https://doi.org/10.1061/%28ASCE%290733-9399%281999%29125%3A8%28914%29.
CEN (European Committee for Standardization). 2001. Glass in building—Determination of bending strength of glass—Part 2: Coaxial double ring test on flat specimens with large test surface areas. EN 1288-2:2001. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2003. Actions on structures—Part 1-3: General actions—Snow loads. EN1991-1-3:2003, Eurocode I. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005a. Actions on structures—Part 1-4: General actions—Wind actions. EN1991-1-4:2005, Eurocode I. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005b. Basis of structural design. EN1990:2005, Eurocode 0. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2006. An overview of prEN-13474 and the work of CEN/TC129/WG8 from which it was developed. CEN-TC129-WG8. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2017. Glass in building—Determination of the load resistance of glass panes by calculation. EN 16612:2019. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2020. Design of glass structures—Part 1: Basis of design and materials. prCEN/TS 19100-1. Brussels, Belgium: CEN.
Collini, L., and G. Royer Carfagni. 2014. “Flexural strength of glass-ceramic for structural applications.” J. Eur. Ceram. Soc. 34 (11): 2675–2685. https://doi.org/10.1016/j.jeurceramsoc.2013.10.032.
Franco, A., and G. Royer Carfagni. 2015. “Verification formulae for structural glass under combined variable loads.” Eng. Struct. 83: 233–242. https://doi.org/10.1016/j.engstruct.2014.10.049.
Freudenthal, A. 1968. “Statistical approach to brittle fracture.” In Vol. II of Fracture, an advanced treatise, 591–619. New York: Academic Press.
Gioffrè, M., and V. Gusella. 2002. “Damage accumulation in glass plates.” J. Eng. Mech. 128 (7): 801–805. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:7(801).
Mognato, E., S. Brocca, and A. Barbieri. 2017. “Thermally processed glass: Correlation between surface compression, mechanical and fragmentation test.” In Proc., Glass Performance Days, 8–11. London: Glass Performance Days.
Pantelides, C., G. Sallee, and J. Minor. 1994. “Edge strength of window glass by mechanical test.” J. Eng. Mech. 120 (5): 1076–1090. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:5(1076).
Pisano, G., A. Bonati, and G. Royer Carfagni. 2021. “The effect of size and stress state on the strength of architectural glass. Experiments versus theory.” Constr. Build. Mater. 283: 122635. https://doi.org/10.1016/j.conbuildmat.2021.122635.
Pisano, G., and G. Royer Carfagni. 2015. “The statistical intepretation of the strength of float glass for structural applications.” Constr. Build. Mater. 98: 741–756. https://doi.org/10.1016/j.conbuildmat.2015.08.073.
Pisano, G., G. Royer Carfagni, and J. Schneider. 2019a. “Open issues in the calibration of partial safety factors for heat-treated glass.” Struct. Saf. 79: 1–11. https://doi.org/10.1016/j.strusafe.2019.01.002.
Pisano, G., G. Royer Carfagni, and J. Schneider. 2019b. “Statistical interference of crack healing on the strength of thermally-treated glass. Experiments and modelling.” Eng. Fract. Mech. 205: 511–531. https://doi.org/10.1016/j.engfracmech.2018.11.025.
Schneider, J. 2001. “Festigkeit und bemessung punktgelagerter gläser und stoßbeanspruchter gläser.” [In German.] Ph.D. thesis, Institute of Statics, TU Darmstadt.
Schula, S. 2015. “Characterization of the scratch sensitivity of glasses in civil engineering.” Ph.D. thesis, Institute of Statics, TU Darmstadt.
Veer, F. A., P. C. Louter, and F. P. Bos. 2009. “The strength of annealed, heat-strengthened and fully tempered float glass.” Fatigue Fract. Eng. Mater. 32 (1): 18–25. https://doi.org/10.1111/j.1460-2695.2008.01308.x.
Wiederhorn, S., and L. Bolz. 1970. “Stress corrosion and static fatigue of glass.” J. Am. Ceram. Soc. 53 (10): 543–548. https://doi.org/10.1111/j.1151-2916.1970.tb15962.x.
Wiederhorn, S. M. 1974. Strength of glass—A fracture mechanics approach. Gaithersburg, MD: National Bureau of Standards.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 4April 2022

History

Received: Sep 15, 2021
Accepted: Oct 18, 2021
Published online: Jan 31, 2022
Published in print: Apr 1, 2022
Discussion open until: Jun 30, 2022

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Authors

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Researcher, Dept. of Engineering, ICT and Technology for Energy and Transport, Construction Technologies Institute—Italian National Research Council, Viale Lombardia 49, San Giuliano Milanese I-20098, Italy. ORCID: https://orcid.org/0000-0003-1494-4291. Email: [email protected]
Antonio Bonati [email protected]
Senior Researcher, Dept. of Engineering, ICT and Technology for Energy and Transport, Construction Technologies Institute—Italian National Research Council, Viale Lombardia 49, San Giuliano Milanese I-20098, Italy. Email: [email protected]
Professor, Structural Mechanics, Dept. of Engineering and Architecture, Univ. of Parma, Parco Area delle Scienze 181/A, Parma I-43100, Italy; Research Associate, Dept. of Engineering, ICT and Technology for Energy and Transport, Construction Technologies Institute—Italian National Research Council, Viale Lombardia 49, San Giuliano Milanese I-20098, Italy (corresponding author). ORCID: https://orcid.org/0000-0003-4879-9846. Email: [email protected]

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  • Experimental study of strength and fracture toughness of laser-blasted glass, Procedia Structural Integrity, 10.1016/j.prostr.2022.12.031, 42, (251-258), (2022).

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