On Pre- and Post-Fracture Behaviour of Laminated Glass under Bending

On Pre- and Post-Fracture Behaviour of Laminated Glass under Bending

Alena Zemanova Jaroslav Schmidt Michal Sejnoha

Czech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics

Page: 
195-207
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DOI: 
https://doi.org/10.2495/CMEM-V8-N3-195-207
Received: 
N/A
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Revised: 
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Accepted: 
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Available online: 
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| Citation

© 2020 IIETA. This article is published by IIETA and is licensed under the CC BY 4.0 license (http://creativecommons.org/licenses/by/4.0/).

OPEN ACCESS

Abstract: 

The present study is focused on the application of phase-field modelling techniques to fracture simulation in laminated glass samples under bending. A damage model using a phase-field formulation of fracture is introduced and applied to three-layer laminated glass samples. The identification of material parameters of polymer foils and glass is also provided, based on a combined experimental and numerical analysis. Specifically, the results of small scale testing and the calibration of the constitutive models of polymer interlayers are discussed in connection to ethylen-vinyl acetate and polyvinyl butyral foils. The statistical data obtained by the evaluation of tensile strength of glass samples are used for the formulation of the tensile stress criterion. Therefore, a generalisation of the energetic formulation of phase-field models towards the stress-based criterion is employed here to simulate the fracture behaviour of laminated glass. The experimentally measured data are compared with the numerically derived response using the extreme values of tensile strength obtained. Then, the fracture response is analysed for one sample to support the proposed computational model and material parameters.

Keywords: 

Annealed glass, ethylen-vinyl acetate, heat-strengthened glass, laminated glass, phase-field damage model, polyvinyl butyral, rheometer, tensile strength in bending

  References

[1] Andreozzi, L., Bati, S.B., Fagone, M., Ranocchiai, G. & Zulli, F., Dynamic torsiontests to characterize the thermo-viscoelastic properties of polymer interlayer for laminatedglass. Construction and Building Materials, 65, pp. 1–13, 2014. https://doi.org/10.1016/j.conbuildmat.2014.04.003

[2] Janda, T., Zemanov´a, A., Zeman, J. & Sˇejnoha, M., Finite element models for laminatedglass units with viscoelastic interlayer for dynamic analysis. High Per- formance andOptimum Design of Structures and Materials II, WIT Transactions on The Built Environment,WIT Press, Vol. 166, pp. 245–254, 2016, ISSN 1746–4498.

[3] Schmidt, J., Janda, T. & Sˇejnoha, M., Calibration of model for laminated glass polymerinterlayer based on rheometer data. Experimental Stress Analysis 2017—Book of FullTexts, pp. 1–7, 2017.

[4] Melcher, J. & Karmaz´ınova´, M., Experimenta´lnı´ verifikace procesu pˇretva´ˇren´ı au´nosnosti ploˇsn´ych d´ılc˚u s vyuˇzit´ım metody zatˇeˇzov´an´ı vakuov´an´ım, Z/B –Ovˇeˇren´atechnologie. Faculty of Civil Engineering, Brno University of Technology, 2009.RIV/00216305:26110/09:PR24352.

[5] Vandebroek, M. & Belis, J., Fracture strength of glass, engineering testing methodsand estimation of characteristic values. COST Action TU0905 Mid-term Conference onStructural Glass, CRC Press, p. 223, 2013.

[6] Zemanov´a, A., Zeman, J. & Sˇejnoha, M., Comparison of viscoelastic finite elementmodels for laminated glass beams. International Journal of Mechanical Sciences,131–132, pp. 380–395, 2017. https://doi.org/10.1016/j.ijmecsci.2017.05.035

[7] Zemanov´a, A., Schmidt, J. & Sˇejnoha, M., Evaluation of tensile strength of glass fromcombined experimental and numerical analysis of laminated glass. High Performanceand Optimum Design of Structures and Materials III, WIT Transactions on The BuiltEnvironment, WIT Press, Vol. 175, pp. 29–39, 2018, ISBN 978-1-78466-289-9.

[8] Haldimann, M., Luible, A. & Overend, M., Structural Use of Glass, volume 10 ofStructural Engineering Documents. IABSE, Zurich, 2008.

[9] BS EN 16612, Glass in building—determination of the load resistance of glass panes bycalculation and testing. Technical report, CEN/TC 129, 2013.

[10] Bourdin, B., Francfort, G.A. & Marigo, J.J., Numerical experiments in revisited brittlefracture. Journal of the Mechanics and Physics of Solids, 48(4), pp. 797–826, 2000.https://doi.org/10.1016/s0022-5096(99)00028-9

[11] Borden, M.J., Verhoosel, C.V., Scott, M.A., Hughes, T.J. & Landis, C.M., A phase-fielddescription of dynamic brittle fracture. Computer Methods in Applied Mechanics andEngineering, 217–220, pp. 77–95, 2012. https://doi.org/10.1016/j.cma.2012.01.008

[12] Miehe, C., Schaenzel, L.M. & Ulmer, H., Phase field modeling of fracture in multiphysicsproblems. part i. balance of crack surface and failure criteria for brittle crackpropagation in thermo-elastic solids. Computer Methods in Applied Mechanics andEngineering, 294, pp. 449–485, 2015. https://doi.org/10.1016/j.cma.2014.11.016

[13] Kiendl, J., Ambati, M., De Lorenzis, L., Gomez, H. & Reali, A., Phase-field descriptionof brittle fracture in plates and shells. Computer Methods in Applied Mechanics andEngineering, 312, pp. 374–394, 2016. https://doi.org/10.1016/j.cma.2016.09.011

[14] Miehe, C., Hofacker, M. & Welschinger, F., A phase field model for rate-independentcrack propagation: Robust algorithmic implementation based on operator splits. ComputerMethods in Applied Mechanics and Engineering, 199(45–48), pp. 2765–2778,2010. https://doi.org/10.1016/j.cma.2010.04.011

[15] Zemanov´a, A., Zeman, J., Janda, T. & Sˇejnoha, M., Layer-wise numerical modelforlaminated glass plates with viscoelastic interlayer. Structural Engineering and Mechanics,65(4), pp. 369–380, 2018.

[16] Zemanov´a, A., Zeman, J., Janda, T., Schmidt, J. & Sˇejnoha, M., On modal analysisof laminated glass: Usability of simplified methods and enhanced effective thickness.Composites Part B: Engineering, 151, pp. 92–105, 2018. https://doi.org/10.1016/j.compositesb.2018.05.032

[17] Duser, A.V., Jagota, A. & Bennison, S.J., Analysis of glass/polyvinyl butyral laminatessubjected to uniform pressure. Journal of Engineering Mechanics, 125(4), pp. 435–442,1999. https://doi.org/10.1061/(asce)0733-9399(1999)125:4(435)