Abstract

The numerical treatment of the residual load-bearing behavior of laminated glasses (LG) in the post-fractured state is highly topical. Nevertheless, currently only few numerical approaches for an accurate representation of the experimentally observed behavior are existent. In order to model the characteristics of the load-bearing behavior of glass laminates in the post-fractured state, the behavior of the interlayer, the behavior of the glass fragments as well as the bonding between glass and interlayer need to be characterized correctly. This paper focuses on the modeling of the frictional contacts between the glass fragments itself. In order to allow for the calibration of failure criteria for the fractured glass particles, framed shear tests which are a common experimental technique in geomechanical testing to determine the shear strength of soils, are performed on glass fragments of different thicknesses and levels of thermal pre-stress. The test results are subsequently used to calibrate non-associated Mohr–Coulomb criteria, which are widely applied to the description of failure and frictional sliding of soils, to the experimental data of four distinct kinds of glass fragments. The obtained parameters of the Mohr–Coulomb models are in magnitude similar to the parameters of standard soils such as sand or gravel. The experimental data further show, that the Mohr–Coulomb model in general can be used to approximate the stress failure plane of the glass fragments but lacks for capturing correctly the plastic volumetric strains (dilation) in Finite Element modelling. Numerical investigations by the Finite Element method showed, that it is possible to reproduce experimental data by using Mohr–Coulomb plasticity models and hence the numerical models are validated for further investigations.

Highlights

  • Nowadays glass is one of the most popular building materials due to its inherent transparency and aesthetic design possibility

  • As glass alone in the fractured state is not able to meet this requirement, at least two sheets of glass are laminated together with a polymeric interlayer to form laminated glass (LG). If further requirements such as certain load-carrying behavior, the maximum size of the glass fracture particles or the glass shards remaining attached to the polymer, are met, LGs are classified laminated safety glass (LSG)

  • As the shape and strength of the glass fragments are reminiscent of sharp-edged gravel (Smoltczyk 2001), it can be assumed that they act and established constitutive laws from geotechnical engineering look promising for a computational mechanical modelling approach

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Summary

Introduction

Nowadays glass is one of the most popular building materials due to its inherent transparency and aesthetic design possibility. As glass alone in the fractured state is not able to meet this requirement, at least two sheets of glass are laminated together with a polymeric interlayer to form laminated glass (LG). The goal within this paper is to characterize the behavior of the glass fragments by means of geomechanical experiments and constitutive models for further numerical treatment. The contributions of this paper are fourfold: (1) the modelling of fractured glass laminates is briefly elaborated for distinct numerical treatment frameworks (2) it is suggested to use plasticity models for the incorporation of the contribution of the glass fragments in further numerical analysis of fractured glass laminates (3) conduction and reporting of experiments on several fractured glass pane specimen and calibration of nonassociated Mohr–Coulomb material models (4) validation of Finite Element models against the experiments.

State-of-the-art
Modelling
Background on the numerical plasticity setting
Introduction of a failure criterion
Perfectly plastic material models
Mohr–Coulomb criterion
Mohr–Coulomb: finite element implementation
Experimental investigations
Glass specimen for fracture particle investigations
Geomechanical characterization: test setup and testing parameters
Test results
Determination of the sieving curve
Friction angle φ and cohesion c for maximum and critical shear stress
Determination of the dilatancy angle
Calibrated Mohr–Coulomb material parameters for each specimen
Finite element model validation
Findings
Compliance with ethical standards
Full Text
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