# Thermal fatigue life of ceramics under mechanical load

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## Abstract

Thermal fatigue life of ceramics under mechanical load was studied using a soda-lime-silica glass rod. The life was also calculated by the application of fracture mechanics of ceramics based on slow crack growth. Both results agreed well. For instance, the following formulae hold well for the fatigue life of the ceramics under mechanical stress: where

$$\begin{gathered} ln ( - ln P)\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{ \doteq } \frac{m}{n}ln N + \frac{{lm}}{n}ln \sigma _{M O} + \frac{{(n - l)m}}{n}ln (\Delta T) + C' \hfill \\ \frac{l}{{(n - l)}} \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\cdot}$}}{ \doteq } \frac{{\sigma _{M O} }}{{\sigma _{T O} }} \hfill \\ \end{gathered} $$

*P*,*N*,*σ*_{TO},*σ*_{MO}, δ*T*,*m*,*n*/*C*′ are survival probability, thermal stressing cycles (thermal fatigue life), the maximum thermal stress, mechanical stress, thermal shock severity, Weibull modulus, a material constant and constants, respectively. By the application of the second formula, the thermal stress induced on the glass rod in plunging the rod into water from hot atmosphere was estimated. The estimated value (11.2 kg mm^{−2}for a glass rod of 4mm diameter and δ*T*=180° C) is thought to agree rather well with that estimated from the well-known formula derived from heat diffusion theory (9.7 ~ 15.8 kg mm^{−2}) considering the accuracy of the approximation.## Keywords

Fatigue Thermal Stress Fatigue Life Mechanical Stress Survival Probability
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## References

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## Copyright information

© Chapman and Hall Ltd. 1982