Constitutive models for temperature-, strain rate- and time-dependent behaviors of ionomers in laminated glass
Source abstract
Abstract
Ionomer, which has significant dependency on temperature, strain rate and time, is widely used in structural laminated glass to achieve strong adhesion and high shear transferring ability. In this study, to fix the shortcomings of the current models in describing the characteristic phases and extending application range of ionomers, both experimental and theoretical efforts were made for the constitutive models with introducing the concerned dependency. Uniaxial tensile tests were firstly performed with varying temperatures (−50 to 80 °C) and strain rates (0.001–0.1 s−1). The phenomenological model, DSGZ, was then employed to describe the characteristics of the overall stress–strain curves at different temperatures and strain rates. The comprehensive comparison study shows that the constitutive models can well-describe all the characteristic phases in both glassy and rubbery state. It was followed by conducting dynamic mechanical analysis (DMA) tests to identify the time sensitivity of ionomers. A temperature–frequency sweep at a wider temperature range (−50–100 °C) than current reports was adopted in DMA tests. Williams–Landel–Ferry (WLF) model was utilized to describe the time–temperature superposition, which was subsequently combined with generalized Maxwell model to fit and predict the relationship between relaxation modulus, time and temperature.
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Research context
OpenAlex topics: Structural Analysis of Composite Materials · Building materials and conservation · Dental materials and restorations
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References (44)
Show source-provided references
1. Centelles X, Pelayo F, Lamela-Rey MJ, Fernandez AI, Salgado-Pizarro R, Castro JR et al (2021) Viscoelastic characterization of seven laminated glass interlayer materials from static tests. Constr Build Mater 279:122503. https://doi.org/10.1016/j.conbuildmat.2021.12250310.1016/j.conbuildmat.2021.122503 ↗
2. Pan ZF, Yang J, Wang XE, Wang FL, Azim I, Wang CY (2021) Image-based surface scratch detection on architectural glass panels using deep learning approach. Constr Build Mater 282:122717. https://doi.org/10.1016/j.conbuildmat.2021.12271710.1016/j.conbuildmat.2021.122717 ↗
3. Kuntsche J, Schuster M, Schneider J (2019) Engineering design of laminated safety glass considering the shear coupling: a review. Glass Struct Eng 4(2):209–228. https://doi.org/10.1007/s40940-019-00097-310.1007/s40940-019-00097-3 ↗
4. Zhao CJ, Yang J, Wang XE, Ren MG, Azim I (2021) Investigatio n into short term behaviors of embedded laminated glass connections with various configurations. Constr Build Mater 297:123687. https://doi.org/10.1016/j.conbuildmat.2021.12368710.1016/j.conbuildmat.2021.123687 ↗
5. Martens K, Caspeele R, Belis J (2015) Development of composite glass beams - a review. Eng Struct 101(6):1–15. https://doi.org/10.1016/j.engstruct.2015.07.00610.1016/j.engstruct.2015.07.006 ↗
6. Galuppi L, Royer-Carfagni G (2020) Enhanced effective thickness for laminated glass beams and plates under torsion. Eng Struct 206:110077. https://doi.org/10.1016/j.engstruct.2019.11007710.1016/j.engstruct.2019.110077 ↗
7. Wang XE, Yang J, Chong WTA, Qiao PZ, Peng SN, Huang XH (2020) Post-fracture performance of laminated glass panels under consecutive hard body impacts. Compos Struct 254:112777. https://doi.org/10.1016/j.compstruct.2020.11277710.1016/j.compstruct.2020.112777 ↗
8. Galuppi L, Royer-Carfagni G (2017) A homogenized analysis a la Hashin for cracked laminates under equi-biaxial stress. Applications to laminated glass. Compos Part B Eng 111:332–347. https://doi.org/10.1016/j.compositesb.2016.11.02710.1016/j.compositesb.2016.11.027 ↗
9. Zhao CJ, Yang J, Wang XE, Azim I (2019) Experimental investigation into the post-breakage performance of pre-cracked laminated glass plates. Constr Build Mater 224:996–1006. https://doi.org/10.1016/j.conbuildmat.2019.07.28610.1016/j.conbuildmat.2019.07.286 ↗
10. Wang XE, Yang J, Pan ZF, Wang FL, Meng YR, Zhu YH (2021) Exploratory investigation into the post-fracture model of laminated tempered glass using combined Voronoi-FDEM approach. Int J Mech Sci 190:105989. https://doi.org/10.1016/j.ijmecsci.2020.10598910.1016/j.ijmecsci.2020.105989 ↗
11. Chen SW, Chen X, Wu XQ (2018) The mechanical behaviour of polyvinyl butyral at intermediate strain rates and different temperatures. Constr Build Mater 182:66–79. https://doi.org/10.1016/j.conbuildmat.2018.06.08010.1016/j.conbuildmat.2018.06.080 ↗
12. Chen X, Schuster M, Schneider J (2022) On the pummel test and pummel-value evaluation of polyvinyl butyral laminated safety glass. Compos Struct 280:114878. https://doi.org/10.1016/j.compstruct.2021.11487810.1016/j.compstruct.2021.114878 ↗
13. Wang XE, Huang XH, Yang J, Hou XN, Zhu YH, Xie DD (2021) Experimental and analytical study on the pre-crack impact response of thick multi-layered laminated glass under hard body impact. Int J Mech Sci 206:106613. https://doi.org/10.1016/j.ijmecsci.2021.10661310.1016/j.ijmecsci.2021.106613 ↗
14. Wang X-E, Yang J, Huang X, Wang F, Zhu Y (2022) Voronoi-FDEM concept for modelling post-fracture response of progressively damaged structural glass. Eng Comput 38(4):3025–3038. https://doi.org/10.1007/s00366-021-01318-610.1007/s00366-021-01318-6 ↗
15. Yang J, Wang Y, Wang X-E, Hou X, Zhao C, Ye J (2022) Local bridging effect of fractured laminated glass with EVA based hybrid interlayers under weathering actions. Constr Build Mater 314:125595. https://doi.org/10.1016/j.conbuildmat.2021.12559510.1016/j.conbuildmat.2021.125595 ↗
16. Zemanová A, Hála P, Konrád P, Janda T, Hlůžek R (2022) The influence of interlayer properties on the response of laminated glass to low-velocity hard-object impact. Int J Impact Eng 159:104036. https://doi.org/10.1016/j.ijimpeng.2021.10403610.1016/j.ijimpeng.2021.104036 ↗
17. Rühl A, Kolling S, Schneider J (2020) A transparent three-layered laminate composed of poly(methyl methacrylate) and thermoplastic polyurethane subjected to low-velocity impact. Int J Impact Eng 136:103419. https://doi.org/10.1016/j.ijimpeng.2019.10341910.1016/j.ijimpeng.2019.103419 ↗
18. Rivers G, Cronin D (2019) Influence of moisture and thermal cycling on delamination flaws in transparent armor materials: thermoplastic polyurethane bonded glass-polycarbonate laminates. Mater Des 182:108026. https://doi.org/10.1016/j.matdes.2019.10802610.1016/j.matdes.2019.108026 ↗
19. Martín M, Centelles X, Solé A, Barreneche C, Fernández AI, Cabeza LF (2020) Polymeric interlayer materials for laminated glass: a review. Constr Build Mater 230:116897. https://doi.org/10.1016/j.conbuildmat.2019.11689710.1016/j.conbuildmat.2019.116897 ↗
20. Bennison S, Sloan J, Kistunas D, Buehler P, Amos T, Smith C (2005) Laminated glass for blast mitigation: role of interlayer properties. Glass processing days. Du Pont De Nemours EI & Co., Wilmington, DE
21. Centelles X, Martin M, Sole A, Castro JR, Cabeza LF (2020) Tensile test on interlayer materials for laminated glass under diverse ageing conditions and strain rates. Constr Build Mater 243:118230. https://doi.org/10.1016/j.conbuildmat.2020.11823010.1016/j.conbuildmat.2020.118230 ↗
22. Kuntsche J, Schneider J (2014) Mechanical behaviour of polymer interlayers in explosion resistant glazing. Chall Glass 4:447–454
23. Zhang XH, Shi YC, Hao H, Cui J (2015) The mechanical properties of ionoplast interlayer material at high strain rates. Mater Des 83:387–399. https://doi.org/10.1016/j.matdes.2015.06.07610.1016/j.matdes.2015.06.076 ↗
24. Santarsiero M, Louter C, Nussbaumer A (2016) The mechanical behaviour of SentryGlas® ionomer and TSSA silicon bulk materials at different temperatures and strain rates under uniaxial tensile stress state. Glass Struct Eng 1(2):395–415. https://doi.org/10.1007/s40940-016-0018-110.1007/s40940-016-0018-1 ↗
25. Chen SW, Lu YJ, Zhang Y, Shao X (2020) Experimental and analytical study on uniaxial tensile property of ionomer interlayer at different temperatures and strain rates. Constr Build Mater 262:120058. https://doi.org/10.1016/j.conbuildmat.2020.12005810.1016/j.conbuildmat.2020.120058 ↗
26. Bai Y, Keller T (2011) Effects of thermal loading history on structural adhesive modulus across glass transition. Constr Build Mater 25(4):2162–2168. https://doi.org/10.1016/j.conbuildmat.2010.11.01210.1016/j.conbuildmat.2010.11.012 ↗
27. Schuster M, Kraus M, Schneider J, Siebert G (2018) Investigations on the thermorheologically complex material behaviour of the laminated safety glass interlayer ethylene-vinyl-acetate. Glass Struct Eng 3(2):373–388. https://doi.org/10.1007/s40940-018-0074-910.1007/s40940-018-0074-9 ↗
28. Pelayo F, Lamela-Rey MJ, Muniz-Calvente M, Lopez-Aenlle M, Alvarez-Vazquez A, Fernandez-Canteli A (2017) Study of the time-temperature-dependent behaviour of PVB: application to laminated glass elements. Thin Wall Struct 119:324–331. https://doi.org/10.1016/j.tws.2017.06.03010.1016/j.tws.2017.06.030 ↗
29. Hooper PA, Blackman BRK, Dear JP (2011) The mechanical behaviour of poly(vinyl butyral) at different strain magnitudes and strain rates. J Mater Sci 47(8):3564–3576. https://doi.org/10.1007/s10853-011-6202-410.1007/s10853-011-6202-4 ↗
30. Bennison S, Qin M, Davies P (2008) High-performance laminated glass for structurally efficient glazing. Innovative light-weight structures and sustainable facades Hong Kong. Du Pont De Nemours EI & Co, Wilmington, DE
31. Shitanoki Y, Bennison SJ, Koike Y (2014) A practical, nondestructive method to determine the shear relaxation modulus behavior of polymeric interlayers for laminated glass. Polym Test 37:59–67. https://doi.org/10.1016/j.polymertesting.2014.04.01110.1016/j.polymertesting.2014.04.011 ↗
32. Lu YJ, Chen SW, Shao X (2021) Shear modulus of ionomer interlayer: effects of time, temperature and strain rate. Constr Build Mater 302:124224. https://doi.org/10.1016/j.conbuildmat.2021.12422410.1016/j.conbuildmat.2021.124224 ↗
33. Duan Y, Saigal A, Greif R, Zimmerman MA (2001) A uniform phenomenological constitutive model for glassy and semicrystalline polymers. Polym Eng Sci 41(8):1322–1328. https://doi.org/10.1002/pen.1083210.1002/pen.10832 ↗
34. Standardization Administration of the People’s Republic of China (2009) GB/T 528 rubber, vulcanized or thermoplastic-determination of tensile stress-strain properties. Standards Press of China, Beijing
35. Standardization Administration of the People’s Republic of China (2015) GB/T 32061 testing method of laminated glass interlayer shear modulus. Standards Press of China, Beijing
36. Biolzi L, Cattaneo S, Orlando M, Piscitelli LR, Spinelli P (2020) Constitutive relationships of different interlayer materials for laminated glass. Compos Struct 244:112221. https://doi.org/10.1016/j.compstruct.2020.11222110.1016/j.compstruct.2020.112221 ↗
37. Dorléans V, Delille R, Notta-Cuvier D, Lauro F, Michau E (2021) Time-temperature superposition in viscoelasticity and viscoplasticity for thermoplastics. Polym Test 101:107287. https://doi.org/10.1016/j.polymertesting.2021.10728710.1016/j.polymertesting.2021.107287 ↗
38. Ionita D, Cristea M, Gaina C (2020) Prediction of polyurethane behaviour via time-temperature superposition: meanings and limitations. Polym Test 83:106340. https://doi.org/10.1016/j.polymertesting.2020.10634010.1016/j.polymertesting.2020.106340 ↗
39. Yang MQ, Li WG, Dong P, Ma YL, He Y, Zhao ZY et al (2022) Temperature and strain rate sensitivity of yield strength of amorphous polymers: characterization and modeling. Polymer 251:124936. https://doi.org/10.1016/j.polymer.2022.12493610.1016/j.polymer.2022.124936 ↗
40. Shen XH, Zhang DH, Yao CF, Tan L, Li XY (2022) Research on parameter identification of Johnson-Cook constitutive model for TC17 titanium alloy cutting simulation. Mater Today Commun 31:103772. https://doi.org/10.1016/j.mtcomm.2022.10377210.1016/j.mtcomm.2022.103772 ↗
41. Zhu H, Ou HA, Popov A (2021) A new phenomenological constitutive model for thermoplastics. Mech Mater 157:103817. https://doi.org/10.1016/j.mechmat.2021.10381710.1016/j.mechmat.2021.103817 ↗
42. Brooks J (1997) Processing wrought nickel and titanium superalloy thermo-mechanical processing: theory, modeling and practice. In: Proceedings of a conference organized in celebration of the 75th anniversary of the Swedish society for material technology
43. El-Qoubaa Z, Colard L, Boumbimba RM, Rusinek A (2018) Experimental study and modelling of poly (methyl methacrylate) and polycarbonate compressive behavior from low to high strain rates. J Dyn Behav Mater 4(2):179–189. https://doi.org/10.1007/s40870-018-0147-510.1007/s40870-018-0147-5 ↗
44. D’Ambrosio G, Galuppi L, Royer-Carfagni G (2019) Post-breakage in-plane stiffness of laminated glass: an engineering approach. Glass Struct Eng 4(3):421–432. https://doi.org/10.1007/s40940-019-00099-110.1007/s40940-019-00099-1 ↗