An iterative method to obtain the specimen-independent three-parameter Weibull distribution of strength from bending tests

Przybilla, Constanze; Fernández‐Canteli, Alfonso; Castillo, Enrique

doi:10.1016/j.proeng.2011.04.235

Cited by 12 publications

(4 citation statements)

References 5 publications

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“…Some samples cut under the same processing parameters may break under light load, whereas others will withstand significant bending forces [ 39 ]. For this reason, Weibull cumulative distribution is often employed to describe the distribution of the characteristic strength of such materials [ 40 ]:

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Section: Methodsmentioning

confidence: 99%

Efficient Water-Assisted Glass Cutting with 355 nm Picosecond Laser Pulses

et al. 2022

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In this study, the cutting of borosilicate glass plates in ambient air and water with a 355 nm wavelength picosecond laser was carried out. Low (2.1–2.75 W) and high (15.5 W) average laser power cutting regimes were studied. Thorough attention was paid to the effect of the hatch distance on the cutting quality and characteristic strength of glass strips cut in both environments. At optimal cutting parameters, ablation efficiency and cutting rates were the highest but cut sidewalls were covered with periodically recurring ridges. Transition to smaller hatch values improved the cut sidewall quality by suppressing the ridge formation, but negatively affected the ablation efficiency and overall strength of glass strips. Glass strips cut in water in the low-laser-power regime had the highest characteristic strength of 117.6 and 107.3 MPa for the front and back sides, respectively. Cutting in a high-laser-power regime was only carried out in water. At 15.5 W, the ablation efficiency and effective cutting speed per incident laser power increased by 16% and 22%, respectively, compared with cutting in water in a low-laser-power regime.

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…”

Section: Methodsmentioning

confidence: 99%

Efficient Water-Assisted Glass Cutting with 355 nm Picosecond Laser Pulses

et al. 2022

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“…In theory, for a total number of samples n<100, ranking the tensile strength test data according to the order from small to large, the cumulative failure probability is given by the Bernard formula [10]:…”

Section: Estimation Of Weibull Parametersmentioning

confidence: 99%

Data Scattering in Strength Measurement of Steels and Glass/Epoxy Composite

Catangiu

Ungureanu

Despa

2017

Scientific Bulletin of Valahia University - Materials and Mechanics

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“…By assuming the existence of two distinct types of flaw populations on the same surface of a brittle material (Phani and De 1987), Klein (2011) proposed the use of a bimodal Weibull statistics, whose micromechanically motivated modeling is considered by Rickerby (1980). Another approach consists in adopting a three-parameter Weibull distribution (Przybilla et al 2011a), which prescribes a lower bound for glass strength. However, questions have been raised about the existence of a threshold (Basu et al 2009).…”

Section: Introductionmentioning

confidence: 99%

The Lower Bound for Glass Strength and Its Interpretation with Generalized Weibull Statistics for Structural Applications

2016

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Because the strength of glass is governed by randomly distributed surface flaws that can propagate catastrophically when the applied stress reaches a critical value, the weakest-link-in-the-chain rationale is the universally accepted interpretation of its significant variability. The two-parameter Weibull extreme value distribution is currently the most commonly used model for structural design, although it is recognized that it fails to capture the experimental data within the region of small failure probabilities, associated with the lowest strengths. However, the precise characterization of this left-hand-side tail of the distribution is crucial for structural applications, for which only very low probabilities of failure are accepted. Experiments have provided evidence of the existence of a lower bound for the strength of glass, a finding that, if proved, could revolutionize the approach to the safety of glass structures. Referring to the large-scale experimental program of the Technical Committee 129-Working Group 8 of the European Committee for Standardization (CEN/TC129/WG8), various generalized statistical distributions like Weibull, either prescribing a strength limit or not, are compared in their ability to interpolate the experimental data using the chi-square goodness-of-fit test. Arguments are presented that support the existence of a minimal strength, which can be reduced, but not annihilated, by the inevitable degradation of the glass surface produced by aging and in-service-related damage.

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An iterative method to obtain the specimen-independent three-parameter Weibull distribution of strength from bending tests

Cited by 12 publications

References 5 publications

Efficient Water-Assisted Glass Cutting with 355 nm Picosecond Laser Pulses

Efficient Water-Assisted Glass Cutting with 355 nm Picosecond Laser Pulses

Data Scattering in Strength Measurement of Steels and Glass/Epoxy Composite

The Lower Bound for Glass Strength and Its Interpretation with Generalized Weibull Statistics for Structural Applications

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