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An analysis of the Brazilian disk fracture test using the Weibull probabilistic treatment of brittle strength

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Abstract

It is pointed out that the Weibull multiaxial treatment of brittle strength contains limitations which are not present in the more familiar uniaxial formulation. Provided these limitations are satisfied, it is possible to use tension or bending data to predict multiaxial behavior when at least one principal stress is tensile. This is illustrated for the Brazilian disk test (diametral compression of a disk). Predictions based on bending tests agree well with observed strength values in disk tests on two types of rocks.

Résumé

Il est démontré que le traitement de la fragilité par la méthode multiaxiale de Weibull est sujet à des restrictions que l'on ne rencontre pas dans la formulation uniaxiale classique. Dans la mesure où ces conditions sont satisfaites, il est possible d'utiliser les données empiriques de traction et de flexion pour prédire un comportement multiaxial quand au moins une des forces principales est une force de traction. A titre d'illustration le test dit “Brazilian Disk Test” est exposé (compression diamétrale d'un disque). Les calculs faits à partir des tests de flexion concordent bien avec les valeurs des résistances observées dans le test du disque, effectué sur deux types de matériaux.

Zusammenfassung

Es wird gezeigt, daß die dreidimensionale Weibull'sche Theorie für spröde Materiale Bedingungen enthält, die die gewöhnlichere eindimensionale Theorie nicht besitzt. Wenn diese Bedingungen erfüllt sind und wenigstens eine der Hauptspannungen eine Zugspannung ist, können die Daten von einfachen Spannungs und Biegungsversuchen verwendet werden um mehrdimensionale Probleme zu berechnen. Dies wird für das “Brazilian Disk Test” (diametralzusammengedrückte Scheibe) demonstriert, Ergebnisse die mit Hilfe von Daten aus Biegeversuchen gewonnen wurden stimmen gut überein mit Festigkeitswerten die an Scheibenversuchen mit zwei verschiedenen Gesteinsarten beobachtet wurden.

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Authors and Affiliations

  1. University of California, 94720, Berkeley, California, USA

    Ö. Vardar & I. Finnie

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  1. Ö. Vardar
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  2. I. Finnie
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Vardar, Ö., Finnie, I. An analysis of the Brazilian disk fracture test using the Weibull probabilistic treatment of brittle strength. Int J Fract 11, 495–508 (1975). https://doi.org/10.1007/BF00033536

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  • DOI: https://doi.org/10.1007/BF00033536

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