Cook, R.
(2018),
Long-Term Ceramic Reliability Analysis including the Crack-Velocity Threshold and the "Bathtub" Curve, Journal of the American Ceramic Society, [online], https://doi.org/10.1111/jace.15817, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=925223
(Accessed October 20, 2025)
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Long-Term Ceramic Reliability Analysis including the Crack-Velocity Threshold and the "Bathtub" Curve
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Abstract
A thermally-activated crack-velocity formulation that includes a threshold at thermodynamic equilibrium is used in the prediction of long-term time-to-failure for brittle materials. A closed-form solution is derived for straight cracks propagating under the influence of constant stress. Explicit connections are made between the macroscopic crack-velocity parameters and the underlying bond-rupture parameters. A feature of the solution is the divergence of time-to- failure for applied loading approaching the thermodynamic threshold. A reliability framework is developed and long-term reliability and hazard predictions made using the time-to-failure solution. A bathtub hazard curve is shown to be generated by a single crack-velocity failure mechanism.Citation
Journal of the American Ceramic Society
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Journals
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Keywords
ceramic, reliability, threshold, bathtub, fracture
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Created June 2, 2018, Updated September 29, 2025