A practical, nondestructive method to determine the shear relaxation modulus behavior of polymeric interlayers for laminated glass

Shitanoki, Yuki; Bennison, Stephen J.; Koike, Yasuhiro

doi:10.1016/j.polymertesting.2014.04.011

Cited by 18 publications

(13 citation statements)

References 12 publications

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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%

“…Whereas glass is treated as an elastic material, the viscoelastic behavior of polymer, which is in our case polyvinyl butyral (PVB), is described using a generalized Maxwell model, whose parameters are taken from [3]. Due to the temperature-sensitiveness of PVB, two different ambient temperatures were assumed -the room temperature 25…”

Section: Mode Shape Functionsmentioning

confidence: 99%

“…The frequency dependence of the real and imaginary part of the complex shear modulus for polyvinyl butyral (PVB) according to [3].…”

mentioning

confidence: 99%

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Variationally-Based Effective Dynamic Thickness for Laminated Glass Beams

Schmidt

Zemanová

Janda

et al. 2017

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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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Section: Motivationmentioning

confidence: 99%

Section: Mode Shape Functionsmentioning

confidence: 99%

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Variationally-Based Effective Dynamic Thickness for Laminated Glass Beams

Schmidt

Zemanová

Janda

et al. 2017

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“…To calculate the maximum glass bending stress, the laminate effective thicknesses (one for each glass ply) are given by (8) and I\ and I2 are the moments of inertia, A t and A2 are the crosssectional areas of each glass ply, b is the beam width. g(x) is the assumed shape function for the vertical displacement.…”

Section: The Effective Thickness Conceptmentioning

confidence: 99%

Analytic Models of a Thin Glass–Polymer Laminate and Development of a Rational Engineering Design Methodology

Shitanoki

Bennison

Koike

2014

Journal of Applied Mechanics

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Analytic models that describe the mechanical behavior of thin glass-polymer laminate structures have been investigated experimentally and via finite-element analysis (FEA). Standard laminate effective thickness models were shown to be applicable to a wide range o f glass!interlayer thickness ratios ami to a wide range of interlayer shear moduli, covering most currently existing glass laminates. In addition, an analytic comparison of the effective thickness model with the traditional composite beam model clarified the applicable limits of the former model in the range o f the interlayer!glass thickness ratio and interlayer shear modulus. These modeling approaches enable a rational engineering design approach for structurally efficient, lightweight, and safe glazing laminates.

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“…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%

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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A practical, nondestructive method to determine the shear relaxation modulus behavior of polymeric interlayers for laminated glass

Cited by 18 publications

References 12 publications

Variationally-Based Effective Dynamic Thickness for Laminated Glass Beams

Variationally-Based Effective Dynamic Thickness for Laminated Glass Beams

Analytic Models of a Thin Glass–Polymer Laminate and Development of a Rational Engineering Design Methodology

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

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