Abstract of: A micro-mechanically motivated model for the strength of heat-treated glass

In structural design the bending strength of heat-treated glass is in general calculated as the simple sum of the characteristic values of the strength of annealed glass and of the thermally-induced prestress, considered as the 5% quantiles of the corresponding statistical distributions. However, t...

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Autores principales:	Antonio Bonati, Antonio Occhiuzzi, Gabriele Pisano, Gianni Royer-Carfagni
Formato:	article
Lenguaje:	EN
Publicado:	Challenging Glass Conference 2018
Materias:	Heat-treated glass Strength Thermal prestress Statistical interference Weibull statistics Clay industries. Ceramics. Glass TP785-869
Acceso en línea:	https://doaj.org/article/e66069a73462443e940acc1d2a652077
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spelling	oai:doaj.org-article:e66069a73462443e940acc1d2a6520772021-12-04T05:11:54ZAbstract of: A micro-mechanically motivated model for the strength of heat-treated glass10.7480/cgc.6.23872589-8019https://doaj.org/article/e66069a73462443e940acc1d2a6520772018-05-01T00:00:00Zhttps://proceedings.challengingglass.com/index.php/cgc/article/view/210https://doaj.org/toc/2589-8019 In structural design the bending strength of heat-treated glass is in general calculated as the simple sum of the characteristic values of the strength of annealed glass and of the thermally-induced prestress, considered as the 5% quantiles of the corresponding statistical distributions. However, the probability that two stochastic variables attain small values simultaneously is quite low; therefore, it is expected that the 5% quantile of the heat-treated glass strength is higher than the simple sum of the 5% quantiles of the two constituent distributions. Here, we theoretically confirm this result by assuming a two-parameter Weibull distribution for the population of annealed glass strengths and a Gaussian distribution for the thermal stresses. Although recent studies have confirmed that the two-parameter Weibull distribution cannot properly interpret the left-hand-side-tail of the annealed-glass strength population, it is here shown that the statistical competition with the surface prestress lowers the importance of a very precise interpretation of the left-handside tail. Remarkably, since glass strength is governed by the opening of surface cracks in mode I, the expected statistical interference is strongly affected by the type of stress state. If the stress state induced by external actions is equibiaxial, all cracks have the same opening stress, but if it is uniaxial, many cracks will remain closed under the sole effect of the prestress, which is in general uniform and equibiaxial. The higher the surface compression is and the closer to the uniaxiality the stress state is, the higher the number of “not-active” cracks will be. We believe that this study will promote and guide the design of ad hoc experimental campaigns for experimental validation. Antonio BonatiAntonio OcchiuzziGabriele PisanoGianni Royer-CarfagniChallenging Glass ConferencearticleHeat-treated glassStrengthThermal prestressStatistical interferenceWeibull statisticsClay industries. Ceramics. GlassTP785-869ENChallenging Glass Conference Proceedings, Vol 6, Iss 1 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Heat-treated glass Strength Thermal prestress Statistical interference Weibull statistics Clay industries. Ceramics. Glass TP785-869
spellingShingle	Heat-treated glass Strength Thermal prestress Statistical interference Weibull statistics Clay industries. Ceramics. Glass TP785-869 Antonio Bonati Antonio Occhiuzzi Gabriele Pisano Gianni Royer-Carfagni Abstract of: A micro-mechanically motivated model for the strength of heat-treated glass
description	In structural design the bending strength of heat-treated glass is in general calculated as the simple sum of the characteristic values of the strength of annealed glass and of the thermally-induced prestress, considered as the 5% quantiles of the corresponding statistical distributions. However, the probability that two stochastic variables attain small values simultaneously is quite low; therefore, it is expected that the 5% quantile of the heat-treated glass strength is higher than the simple sum of the 5% quantiles of the two constituent distributions. Here, we theoretically confirm this result by assuming a two-parameter Weibull distribution for the population of annealed glass strengths and a Gaussian distribution for the thermal stresses. Although recent studies have confirmed that the two-parameter Weibull distribution cannot properly interpret the left-hand-side-tail of the annealed-glass strength population, it is here shown that the statistical competition with the surface prestress lowers the importance of a very precise interpretation of the left-handside tail. Remarkably, since glass strength is governed by the opening of surface cracks in mode I, the expected statistical interference is strongly affected by the type of stress state. If the stress state induced by external actions is equibiaxial, all cracks have the same opening stress, but if it is uniaxial, many cracks will remain closed under the sole effect of the prestress, which is in general uniform and equibiaxial. The higher the surface compression is and the closer to the uniaxiality the stress state is, the higher the number of “not-active” cracks will be. We believe that this study will promote and guide the design of ad hoc experimental campaigns for experimental validation.
format	article
author	Antonio Bonati Antonio Occhiuzzi Gabriele Pisano Gianni Royer-Carfagni
author_facet	Antonio Bonati Antonio Occhiuzzi Gabriele Pisano Gianni Royer-Carfagni
author_sort	Antonio Bonati
title	Abstract of: A micro-mechanically motivated model for the strength of heat-treated glass
title_short	Abstract of: A micro-mechanically motivated model for the strength of heat-treated glass
title_full	Abstract of: A micro-mechanically motivated model for the strength of heat-treated glass
title_fullStr	Abstract of: A micro-mechanically motivated model for the strength of heat-treated glass
title_full_unstemmed	Abstract of: A micro-mechanically motivated model for the strength of heat-treated glass
title_sort	abstract of: a micro-mechanically motivated model for the strength of heat-treated glass
publisher	Challenging Glass Conference
publishDate	2018
url	https://doaj.org/article/e66069a73462443e940acc1d2a652077
work_keys_str_mv	AT antoniobonati abstractofamicromechanicallymotivatedmodelforthestrengthofheattreatedglass AT antonioocchiuzzi abstractofamicromechanicallymotivatedmodelforthestrengthofheattreatedglass AT gabrielepisano abstractofamicromechanicallymotivatedmodelforthestrengthofheattreatedglass AT gianniroyercarfagni abstractofamicromechanicallymotivatedmodelforthestrengthofheattreatedglass
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Abstract of: A micro-mechanically motivated model for the strength of heat-treated glass

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