Abstract
A novel ring-on-ring test setup was developed for investigating the biaxial flexural strength of small circular soda–lime–silica glass specimens at high loading rates in a high-speed test rig. Such rate effects becomes important when designing for extreme events such as impact and blast, which are highly relevant for glass used in e.g. façades. The investigation focused on two groups of specimens with different surface conditions: as-received and pre-damaged with a well-defined flaw. A total of 151 specimens were tested in order to evaluate the influence of loading rate and surface condition on the flexural strength. Quasi-static and dynamic experiments were performed at loading rates ranging between 2 and \(5.6\times 10^6\hbox { MPa/s}\). An 85% increase in strength with loading rate was observed for the ‘as-received’ specimens and 52% for the ‘pre-damaged’.
References
ASTM C1499: Test Method for Monotonic Equibiaxial Flexural Strength of Advanced Ceramics at Ambient Temperature. Annual Book of ASTM Standards C1499–15. ASTM International, West Conshohocken (2015)
Brown, W.G.: A load duration theory for glass design. Publ. NRCC 12354, 75–78 (1972). https://doi.org/10.4224/20374822
Datsiou, K.C., Overend, M.: Artificial ageing of glass with sand abrasion. Constr. Build. Mater. 142, 536–551 (2017a). https://doi.org/10.1016/j.conbuildmat.2017.03.094
Datsiou, K.C., Overend, M.: The strength of aged glass. Glass Struct. Eng. 2(2), 105–120 (2017b). https://doi.org/10.1007/s40940-017-0045-6
Del Linz, P., Hooper, P.A., Arora, H., Wang, Y., Smith, D., Blackman, B.R., Dear, J.P.: Delamination properties of laminated glass windows subject to blast loading. Int. J. Impact Eng. 105, 39–53 (2017). https://doi.org/10.1016/j.ijimpeng.2016.05.015
EN 572-1:2012: Glass in building—basic soda lime silicate glass products—part 1: definitions and general physical and mechanical properties. European Committee for Standardization (CEN), Avenue Marnix 17, B-1000 Brussels (2012)
Evans, A.G., Wiederhorn, S.M.: Proof testing of ceramic materials-an analytical basis for failure prediction. Int. J. Fract. 26(4), 355–368 (1974). https://doi.org/10.1007/BF00962969
Hilcken, J.: Zyklische Ermüdung von thermisch entspanntem und thermisch vorgespanntem Kalk-Natron-Silikatglas. Ph.D. thesis, Technische Universität Darmstadt (2015)
Hooper, P., Sukhram, R., Blackman, B., Dear, J.: On the blast resistance of laminated glass. Int. J. Solids Struct. 49(6), 899–918 (2012). https://doi.org/10.1016/j.ijsolstr.2011.12.008
Kuntsche, J.: Mechanisches Verhalten von Verbundglas unter zeitabhängiger Belastung und Explosionsbeanspruchung. Ph.D. thesis, Technische Universität Darmstadt (2015)
Larcher, M., Solomos, G., Casadei, F., Gebbeken, N.: Experimental and numerical investigations of laminated glass subjected to blast loading. Int. J. Impact Eng. 39(1), 42–50 (2012). https://doi.org/10.1016/j.ijimpeng.2011.09.006
Michalske, T.A., Freiman, S.W.: A molecular mechanism for stress corrosion in vitreous silica. J. Am. Ceram. Soc. 66(4), 284–288 (1983). https://doi.org/10.1111/j.1151-2916.1983.tb15715.x
Nie, X., Chen, W.W., Wereszczak, A.A., Templeton, D.W.: Effect of loading rate and surface conditions on the flexural strength of borosilicate glass. J. Am. Ceram. Soc. 92(6), 1287–1295 (2009). https://doi.org/10.1111/j.1551-2916.2009.03019.x
Nie, X., Chen, W.W., Templeton, D.W.: Dynamic ring-on-ring equibiaxial flexural strength of borosilicate glass. Int. J. Appl. Ceram. Technol. 7(5), 616–624 (2010). https://doi.org/10.1111/j.1744-7402.2010.02508.x
Norville, H.S.: Closure to “glass-related injuries in Oklahoma City bombing”. J. Perform. Constr. Facil. 14(4), 167 (2000)
Norville, H.S., Harvill, N., Conrath, E.J., Shariat, S., Mallonee, S.: Glass-related injuries in Oklahoma City bombing. J. Perform. Const. Facil. 13(2), 50–56 (1999)
Pelfrene, J.: Numerical analysis of the post-fracture response of laminated glass under impact and blast loading. Ph.D. thesis, Ghent University (2016)
Peroni, M., Solomos, G., Pizzinato, V., Larcher, M.: Experimental investigation of high strain-rate behaviour of glass. Appl. Mech. Mater. 82, 63–68 (2011). https://doi.org/10.4028/www.scientific.net/AMM.82.63
Schula, S.: Charakterisierung der Kratzanfälligkeit von Gläsern im Bauwesen. Ph.D. thesis, Technische Universität Darmstadt (2015)
Swab, J.J., Patel, P.J., Tran, X., Gilde, L., Luoto, E., Gaviola, M.H., Gott, A., Paulson, B., Kilczewski, S.: Equibiaxial flexure strength of glass: influence of glass plate size and equibiaxial ring ratio. Int. J. Appl. Glass Sci. 5(4), 384–392 (2014). https://doi.org/10.1111/ijag.12094
Timoshenko, S., Woinowsky-Krieger, S.: Theory of Plates and Shells. McGraw-Hill, New York (1976)
Wiederhorn, S.M.: Influence of water vapor on crack propagation in soda–lime glass. J. Am. Ceram. Soc. 50(8), 407–414 (1967). https://doi.org/10.1111/j.1151-2916.1967.tb15145.x
Wiederhorn, S., Bolz, L.: Stress corrosion and static failure of glass. J. Am. Soc. Ceram. 53(474), 543–548 (1970). https://doi.org/10.1111/j.1151-2916.1970.tb15962.x
Zhang, X., Zou, Y., Hao, H., Li, X., Ma, G., Liu, K.: Laboratory test on dynamic material properties of annealed float glass. Int. J. Prot. Struct. 3(4), 407–430 (2012). https://doi.org/10.1260/2041-4196.3.4.407
Zhang, X., Hao, H., Ma, G.: Parametric study of laminated glass window response to blast loads. Eng. Struct. 56, 1707–1717 (2013). https://doi.org/10.1016/j.engstruct.2013.08.007
Acknowledgements
The authors acknowledge the research team of Prof. Dr.-Ing. J. Schneider from the Institute of Structural Mechanics and Design at TU Darmstadt, who has helped to pre-damage a number of the investigated glass specimens. Also, the authors are truly grateful to Z. I. Balogh from DTU CEN (Center for Electron Nanoscopy) for performing the SEM/EDS analysis.
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Appendix A: Full experimental results
Appendix A: Full experimental results
The experimental results of this study are listed in Table 3 for the as-received specimens and Table 4 for the pre-damaged ones, where the thickness of each specimen is given along with the target piston velocity, \(v_p\), the recorded peak load, F, and the applied loading rate, \({\dot{F}}\).
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Meyland, M.J., Bønding, C.K.T., Eriksen, R.N.W. et al. An experimental investigation of the flexural strength of soda–lime–silica glass at high loading rates. Glass Struct Eng 4, 175–183 (2019). https://doi.org/10.1007/s40940-018-0089-2
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DOI: https://doi.org/10.1007/s40940-018-0089-2