On the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs

The applicability of the Weibull distribution to model the strength of glass, the existence of a size effect on the strength and the need for a non-destructive testing of the strength are discussed and reviewed. There are a growing number of studies that put into question the applicability of the W...

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Autores principales:	David T. Kinsella, Kent Persson
Formato:	article
Lenguaje:	EN
Publicado:	Challenging Glass Conference 2016
Materias:	Glass Weibull probability distribution size effect likelihood ratio test ultrasonic materials testing Clay industries. Ceramics. Glass TP785-869
Acceso en línea:	https://doaj.org/article/6a0397dbc3254c0b881c584ae722a84d
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spelling	oai:doaj.org-article:6a0397dbc3254c0b881c584ae722a84d2021-12-04T05:12:37ZOn the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs10.7480/cgc.5.24322589-8019https://doaj.org/article/6a0397dbc3254c0b881c584ae722a84d2016-06-01T00:00:00Zhttps://proceedings.challengingglass.com/index.php/cgc/article/view/160https://doaj.org/toc/2589-8019 The applicability of the Weibull distribution to model the strength of glass, the existence of a size effect on the strength and the need for a non-destructive testing of the strength are discussed and reviewed. There are a growing number of studies that put into question the applicability of the Weibull distribution to model annealed glass fracture data. A recent study indicates that the breakage stresses are uncorrelated with the surface area, in violation of the size effect which entails the Weibull model. It is shown in this paper, however, that there is a size effect, as evidenced in an objective way by hypothesis testing using the likelihood ratio statistic. In numeric simulations it is shown that, given sample sizes of 30 specimens and the Weibull distribution being assumed, it is necessary to employ specimens which vary in surface area by a factor of about two at least, in order to detect the size effect with a success rate in excess of 0.95. To increase the use of soda-lime-silica glass in load-bearing components, however, there is a need for non-destructive testing methods, such as non-linear ultrasonic techniques. Non-destructive testing could be used not only to single out the weakest glass panes during manufacture, thus decreasing the variation in strength among as-received specimens, but also by other parties in the construction sector, such as in routine inspections on-site. Suitable stochastic models can be used together with such testing methods to develop a non-destructive strength grading of glass products. David T. KinsellaKent PerssonChallenging Glass ConferencearticleGlassWeibull probability distributionsize effectlikelihood ratio testultrasonic materials testingClay industries. Ceramics. GlassTP785-869ENChallenging Glass Conference Proceedings, Vol 5 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	Glass Weibull probability distribution size effect likelihood ratio test ultrasonic materials testing Clay industries. Ceramics. Glass TP785-869
spellingShingle	Glass Weibull probability distribution size effect likelihood ratio test ultrasonic materials testing Clay industries. Ceramics. Glass TP785-869 David T. Kinsella Kent Persson On the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs
description	The applicability of the Weibull distribution to model the strength of glass, the existence of a size effect on the strength and the need for a non-destructive testing of the strength are discussed and reviewed. There are a growing number of studies that put into question the applicability of the Weibull distribution to model annealed glass fracture data. A recent study indicates that the breakage stresses are uncorrelated with the surface area, in violation of the size effect which entails the Weibull model. It is shown in this paper, however, that there is a size effect, as evidenced in an objective way by hypothesis testing using the likelihood ratio statistic. In numeric simulations it is shown that, given sample sizes of 30 specimens and the Weibull distribution being assumed, it is necessary to employ specimens which vary in surface area by a factor of about two at least, in order to detect the size effect with a success rate in excess of 0.95. To increase the use of soda-lime-silica glass in load-bearing components, however, there is a need for non-destructive testing methods, such as non-linear ultrasonic techniques. Non-destructive testing could be used not only to single out the weakest glass panes during manufacture, thus decreasing the variation in strength among as-received specimens, but also by other parties in the construction sector, such as in routine inspections on-site. Suitable stochastic models can be used together with such testing methods to develop a non-destructive strength grading of glass products.
format	article
author	David T. Kinsella Kent Persson
author_facet	David T. Kinsella Kent Persson
author_sort	David T. Kinsella
title	On the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs
title_short	On the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs
title_full	On the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs
title_fullStr	On the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs
title_full_unstemmed	On the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs
title_sort	on the applicability of the weibull distribution to model annealed glass strength and future research needs
publisher	Challenging Glass Conference
publishDate	2016
url	https://doaj.org/article/6a0397dbc3254c0b881c584ae722a84d
work_keys_str_mv	AT davidtkinsella ontheapplicabilityoftheweibulldistributiontomodelannealedglassstrengthandfutureresearchneeds AT kentpersson ontheapplicabilityoftheweibulldistributiontomodelannealedglassstrengthandfutureresearchneeds
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On the Applicability of the Weibull Distribution to Model Annealed Glass Strength and Future Research Needs

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