Abstract

Laminated glass combines two remarkable materials: glass and a polymer ply. While glass is stiff and brittle, the polymer ply is a rate-dependent compliant material. Together, they form a material which keeps the aesthetic value of glass, and due to the polymer, no fragile collapse appears. The polymer ply exhibits time- and temperature-dependency, whereas glass suffers from brittle fracture, which makes the analysis difficult. In this article, a 2D sectional plane-stress model for the viscoelastic analysis of laminated glass is presented. This study presents one step in the development of a phase-field-based damage solver for laminated glass to select the optimal time-integration scheme for a quasistatic-analysis and later also for dynamics. The validation against experimental data is provided, and the model reduction is also discussed.

Highlights

  • Nowadays laminated glass is a popular composite multi-layer material which consists of several glass plates and polymer interlayers

  • The interlayer polymer is strongly time- and temperature-dependent material effectively modelled by the generalised Maxwell model [4, Appendix A], see Figure 1, where the material constants are the stiffnesses of springs Gp and the viscosities ηp and the long-term shear modulus G∞ corresponding to the single stiffness

  • The numerical analysis of laminated glass samples under quasi-static loading is presented in this paper and validated against experimental measurements

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Summary

Introduction

Nowadays laminated glass is a popular composite multi-layer material which consists of several glass plates and polymer interlayers. Several dynamic and quasi-static experiments were performed, and the step is the validation of the collected experimental data against numerical models for laminated glass At this moment, the numerical solver is implemented for laminated beams and plates made of several elastic layers under quasi-static loading. The numerical solver is implemented for laminated beams and plates made of several elastic layers under quasi-static loading This study presents another step in the development of the phase-field-based damage solver with the focus on the time- and temperature-dependent behaviour of the polymer interlayer. At this stage, the analysis deals with a quasi-static regime only.

Laminated glass model
Governing equations The following model assumptions are considered:
Numerical integrators
Numerical results
Material parameters
Solver
Validation and comparison
Sufficient number of parameters
Findings
Conclusions
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