Quasi-static bending and low velocity impact performance of monolithic and laminated glass windows employing chemically strengthened glass

Mohagheghian, Iman; Wang, Y; Jiang, Liangbao; Zhang, Xihong; Guo, Xintao; Kinloch, A. J.; Dear, J. P.

doi:10.1016/j.euromechsol.2017.01.006

Cited by 42 publications

(27 citation statements)

References 35 publications

(1 reference statement)

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“…Unlike in [8], the elastic shear modulus of the whole chain G 2,0 was set as the real frequency-independent part instead of the long-term shear modulus G 2,∞ to avoid computational difficulties for chains with G 2,∞ = 0. The Maxwell chain parameters for different interlayer materials can be found, for instance, in [9,27,5,15,1,33,24]. We selected five representative sets of Prony series and related parameters, which are reported in Appendix A.…”

Section: Methodsmentioning

confidence: 99%

“…The viscoelastic behavior of polymer foil is described with the generalized Maxwell model. Several sets of parameters of the chain were taken from literature [1,24,33] and used in our case study, to evaluate and discuss the effect of various materials used in laminated glass structures and also of different Maxwell chain parameters for the the same type of interlayer.…”

Section: Introductionmentioning

confidence: 99%

“…The dependence of the real part (storage modulus) and the imaginary part (loss modulus) of the shear modulus G 2 (ω) of PVB, TPU, and SGP on a real-valued frequency at 25 • C; the Maxwell chain parameters are taken from[24] (M),[33] (S), and [1] (A).…”

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confidence: 99%

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On modal analysis of laminated glass: Usability of simplified methods and Enhanced Effective Thickness

Zemanová

Zeman

Janda

et al. 2018

Composites Part B: Engineering

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This paper focuses on the modal analysis of laminated glass beams. In these multilayer elements, the stiff glass plates are connected by compliant interlayers with frequency/temperature-dependent behavior. The aim of our study is (i) to assess whether approximate techniques can accurately predict the behavior of laminated glass structures and (ii) to propose an easy tool for modal analysis based on the enhanced effective thickness concept by Galuppi and Royer-Carfagni.To this purpose, we consider four approaches to the solution of the related nonlinear eigenvalue problem: a complex-eigenvalue solver based on the Newton method, the modal strain energy method, and two effective thickness concepts. A comparative study of free vibrating laminated glass beams is performed considering different geometries of cross-sections, boundary conditions, and material parameters for interlayers under two ambient temperatures. The viscoelastic response of polymer foils is represented by the generalized Maxwell model.We show that the simplified approaches predict natural frequencies with an acceptable accuracy for most of the examples. However, there is a considerable scatter in predicted loss factors. The enhanced effective thickness approach adjusted for modal analysis leads to lower errors in both quantities compared to the other two simplified procedures, reducing the extreme error in loss factors to one half compared to the modal strain energy method or to one quarter compared to the original dynamic effective thickness method.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On modal analysis of laminated glass: Usability of simplified methods and Enhanced Effective Thickness

Zemanová

Zeman

Janda

et al. 2018

Composites Part B: Engineering

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“…On the other hand, the nature of the polymer response is strongly frequency-dependent and also temperature-sensitive, e.g., [3], [4], or [5]. Its behavior is often described by a complex-valued dynamic shear modulus, see Figure 1.…”

Section: Motivationmentioning

confidence: 99%

Variationally-Based Effective Dynamic Thickness for Laminated Glass Beams

Schmidt

Zemanová

Janda

et al. 2017

APP

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Abstract. Laminated glass, consisting of glass layers connected with transparent foils, has found its applications in civil, automotive, or marine engineering. Due to a high contrast in layer properties, mechanical response of laminated glass structures cannot be predicted using classical laminate theories. On the other hand, engineering applications demand easy-to-use formulas of acceptable accuracy. This contribution addresses such simplified models for free vibrations of laminated glass beams, with the goal to determine their natural frequencies and modal damping properties. Our strategy is to approximate the complex behavior of a laminated structure with that of an equivalent monolithic beam. Its effective thickness is determined by the variational method proposed by Galuppi and Royer-Carfagni for static problems, which we extended for modal analysis. We show that this new approach overcomes inaccuracies of the currently used dynamic effective thickness model by López-Aenlle and Pelayo.

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“…From a structural point of view, critical design conditions can include explosive events [3][4][5] and impacts [6][7][8], natural hazards and earthquakes [9,10], and dynamic loads in general (including moving loads, in the case of pedestrian systems [11][12][13][14][15][16]), whose effects need dedicated calculation methods.…”

Section: Introductionmentioning

confidence: 99%

Issues on the Vibration Analysis of In-Service Laminated Glass Structures: Analytical, Experimental and Numerical Investigations on Delaminated Beams

Bedon

2019

Applied Sciences

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Load-bearing laminated glass (LG) elements take the form of simple members in buildings (i.e., columns, beams, and plates) or realize stand-alone assemblies, where glass and other traditional constructional materials can interact. Among several relevant aspects, the dynamic response of LG structures requires dedicated methods of analysis, towards the fulfilment of safe design purposes. A combination of multiple aspects must be taken into account for dynamic calculations of even simple LG elements when compared to static conditions, first of all the sensitivity of common interlayers to the imposed vibration frequency. The challenge is even more complex for the vibration serviceability assessment of in-service LG structures, where the degradation of materials and possible delamination effects could manifest, hence resulting in structural performances that can markedly differ from early-design conditions. Major uncertainties can be associated to the actual mechanical characterization of materials in use (especially the viscoelastic interlayers), as well as the contribution of restraints (as compared to ideal boundaries) and the possible degradation of the bonding layers (i.e., delaminations). All of these aspects are examined in the paper, with the support of extended analytical calculations, on-site experimental measurements, and parametric Finite Element (FE) numerical analyses. When compared to literature efforts accounting for ideal boundaries only, an analytical formulation is proposed to include the effects of flexible restraints in the dynamic performance of general (double) LG beams. Special care is also spent for the presence of possible delaminations, including size and position effects. In the latter case, existing formulations for composite laminates are preliminarily adapted to LG beams. Their reliability and accuracy is assessed with the support of test predictions and parametric FE simulations.

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Quasi-static bending and low velocity impact performance of monolithic and laminated glass windows employing chemically strengthened glass

Cited by 42 publications

References 35 publications

On modal analysis of laminated glass: Usability of simplified methods and Enhanced Effective Thickness

On modal analysis of laminated glass: Usability of simplified methods and Enhanced Effective Thickness

Variationally-Based Effective Dynamic Thickness for Laminated Glass Beams

Issues on the Vibration Analysis of In-Service Laminated Glass Structures: Analytical, Experimental and Numerical Investigations on Delaminated Beams

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