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Statistical approach to delayed failure of brittle materials

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Abstract

Delayed failure tests or static fatigue tests were performed on soda-lime glass in water environment. Testing consisted of four-point bend and three-point bend with constant load. The time-to-failure and fracture location of specimens were measured.

The theory of stochastic process is combined with the extreme value distribution in stress and the time dependent probability distribution function is obtained to predict the time-to-failure of specimens as well as the location of fracture.

It is shown that the theoretical prediction is in good agreement with the experimental data.

Résumé

Des essais de rupture différée ou essais de fatigue statique ont été exécutés sur un verre calcique sodé dans un environnement d'eau. Les essais consistaient en une flexion en quatre points et en une flexion en trois points à charge constante. On a mesuré le temps à la rupture et la localisation de la rupture sur les éprouvettes.

En combinant la théorie du processus stochastique avec la distribution aux valeurs extrèmes de la contrainte et de la fonction de distribution de la probabilité de rupture en fonction du temps, on a pu prédire le temps à la rupture des éprouvettes ainsi que la localisation de la rupture.

On montre que la prédiction théorique est en bon accord avec les données expérimentales.

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Authors and Affiliations

  1. Department of Physical Engineering, Tokyo Institute of Technology, Ookayama, Meguro-ku, 152, Tokyo, Japan

    S. Aoki & M. Sakata

Authors
  1. S. Aoki
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  2. M. Sakata
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Aoki, S., Sakata, M. Statistical approach to delayed failure of brittle materials. Int J Fract 16, 459–469 (1980). https://doi.org/10.1007/BF00016584

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  • DOI: https://doi.org/10.1007/BF00016584

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