A micromechanical derivation of the macroscopic strength statistics for pristine or corroded/abraded float glass

Pisano, Gabriele; Royer-Carfagni, Gianni

doi:10.1016/j.jeurceramsoc.2017.04.046

Cited by 23 publications

(23 citation statements)

References 19 publications

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“…22 Let F R,air ( max ) and F R,tin ( max ) be the probability that the plate fails when the maximum tensile stress max is applied at the air-or the tinside, respectively. 22 Let F R,air ( max ) and F R,tin ( max ) be the probability that the plate fails when the maximum tensile stress max is applied at the air-or the tinside, respectively.…”

Section: Probabilistic Mechanics For Glass Failurementioning

confidence: 99%

“…From Kirchhoff-Love theory of plates, the stress linearly varies in the thickness of the plate (membrane stresses are neglected) according to the bending moment, which linearly depends upon the applied loads but is not affected by the thickness of the plate. It is worth mentioning that a recent investigation 22 has shown that the effects of abrasion/corrosion may not always be negative. In the monolithic limit, breakage of one external ply is equivalent to a uniform reduction in the thickness of the plate; on the other hand, if the broken ply is internal, partial rupture leads to the splitting of the package into two sub-packages, sharing the applied load in parallel because they act independently one-another, due to the aforementioned hypothesis that the broken plies cannot transfer shear stresses.…”

Section: Event-tree Representationmentioning

confidence: 99%

“…The effective area from Equation (22) is A eff,air = 76704.12 mm 2 for the air-side, and A eff,tin = 63773.73 mm 2 for the tin-side. The effective area from Equation (22) is A eff,air = 76704.12 mm 2 for the air-side, and A eff,tin = 63773.73 mm 2 for the tin-side.…”

Section: Wind Loadmentioning

confidence: 99%

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Partial safety factors for laminated glass

2019

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Glass plies can be bonded together by polymeric interlayers to form laminated glass. Thanks to the capacity in finding alternative stress paths after partial breakage, it is commonly accepted that the more the layers are, the higher the safety level is. However, a negative aspect is that the tensile strength of glass carries a size effect in terms of surface area, which increases with lamination. Here we evaluate these competing factors by calibrating the partial safety factors to be used in semi‐probabilistic (level‐I) design, through comparison with probabilistic (level‐III) methods in paradigmatic case‐studies under wind, snow, and dead weight. Starting from a two‐parameter Weibull distribution for glass strength, the “failure modes” approach determines the statistical distribution of strength for a multi‐laminate as a function of the number of plies, which interferes with the statistics for actions. As a function of the target probability of failure for the assigned class of consequence, we introduce a new coefficient in the verification formula of level‐I, to account for the effects of lamination with dependence upon the number of plies. We find that there is strong gain when passing from a monolith to a two‐ply laminate, but the advantage fades by increasing the number of layers. Verification formulas of this type could avoid overconservative design.

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Section: Probabilistic Mechanics For Glass Failurementioning

confidence: 99%

Section: Event-tree Representationmentioning

confidence: 99%

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Partial safety factors for laminated glass

2019

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“…(2) yields a corresponding crack depth of 8-94 microns. A statistical model for characterizing glass strength when two flaw populations are superimposed due to abrasive phenomena has been proposed in Pisano and Carfagni (2017). Pathirana et al (2017) implemented a dual population of cracks in a numerical model for the evaluation of the strength distribution in panels subjected to point contact actions.…”

Section: Dual Population Modelmentioning

confidence: 99%

A numerical method for analysis of fracture statistics of glass and simulations of a double ring bending test

Kinsella

Persson

2018

Glass Struct Eng

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The results from a new numerical method for simulating the strength and fracture locations of small glass specimens subjected to double ring bending are compared with experimental data. The method implements the weakest-link principle while assuming the existence of Griffith flaws. A Weibull distribution for the strength is simulated based on a single population of Pareto distributed crack sizes. The effect of using different fracture criteria is investigated. An alternative distribution is simulated based on two populations of flaws. This distribution models the apparent bimodality in the empirical data set. The numerical method is dependent on a representation of the surface flaws condition in glass. As new techniques become available for examining the surface characteristics, this numerical method is promising as a means for modelling the strength better than current methods do.

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“…However, attempts to address the presence of multiple flaw populations may lead to more or less exotic distributions for the flaw size. So far, attempts have been made by Pathirana et al (2017), Kinsella and Persson (2018b) and Pisano and Royer-Carfagni (2017) to model surface failure in glass with a multimodal flaw size distribution approach.…”

Section: Fig 4: Simulations Of the P-values Based On 1000 Random Sammentioning

confidence: 99%

Performance of Standard Statistical Distributions for Modeling Glass Fracture

Kinsella

Lindström²,

Persson

2018

International Journal of Structural Glass and Advanced Material

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Experimental data on the strength of new annealed float glass tested in an ambient environment was collected. A comparison was made between four standard distributions, the normal, lognormal, Gumbel and Weibull, with respect to the performance in modelling the strength. The Weibull distribution outperformed the normal and lognormal distributions when the data contained edge only failure origins. When the data was selected to contain surface only failure origins it is indicated that the extreme value distributions performed poorly. The Weibull model is known to have a basis in a failure-mechanism concept based on the weakest-link principle. The Gumbel distribution can also be derived from failure-based mechanics and be associated with certain types of flaw size distribution. The Weibull model, however, is a better choice for a failure model of glass edge strength compared to the normal and lognormal distributions and at least as good as a Gumbel distribution. The surface strength is complicated to model and none of the standard distributions which were examined are capable of producing a proper model. The sample size also has a profound impact on the performance of the surface strength models.

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A micromechanical derivation of the macroscopic strength statistics for pristine or corroded/abraded float glass

Cited by 23 publications

References 19 publications

Partial safety factors for laminated glass

Partial safety factors for laminated glass

A numerical method for analysis of fracture statistics of glass and simulations of a double ring bending test

Performance of Standard Statistical Distributions for Modeling Glass Fracture

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