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A statistical model for the failure of glass plates due to nickel sulfide inclusions
Author(s) -
Bonati Antonio,
Pisano Gabriele,
Royer Carfagni Gianni
Publication year - 2019
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/jace.16106
Subject(s) - weibull distribution , sulfide , phase (matter) , materials science , nickel sulfide , population , nickel , thermodynamics , transformation (genetics) , metallurgy , mathematics , chemistry , physics , statistics , biochemistry , demography , organic chemistry , sociology , gene
Abstract Nickel Sulfide (NiS) inclusions can provoke the rupture of thermally treated glass due to a phase transformation with volume increase that stresses the surrounding glass. Starting from a Pareto statistics for the population of inclusion sizes, from an assumed kinetics of the phase transformation, a micro‐mechanically motivated model provides the statistical characterization of the probability of spontaneous failure of glass during lifetime. A distinction based upon the composition of NiS is used to discuss the effects of the heat soak test ( HST ), where glass remains at high temperature for a certain time to speed‐up the phase transformation and destroy those elements with critical inclusions. Three functions à la Weibull for the probability of spontaneous rupture during lifetime are theoretically derived for the case of no HST , short HST , and long HST . In particular, the probability of collapse for long HST s depends upon the holding time in the oven. An explanatory example shows the potentiality of the model for optimizing the HST parameters toward a target probability of failure, but experimental campaigns are needed for a proper calibration.