Abstract
A new statistical distribution function for fracture toughness has been derived on the basis of the self-similar nature of the mechanical behaviour of crack-tip regions. It has been used to describe statistically variable fracture-toughness data well and to give a good prediction of the effect of the crack front length, that is of the specimen size. The present paper develops on this basis a statistical criterion for failure in linearly elastic materials containing distributions of many microcracks. Data from a number of materials tested in several different laboratories are presented, as are the results of statistical tests showing the quality of the fits obtained using the new function. Some bimodal data is considered.
Résumé
On a établi une nouvelle fonction de distribution statistique pour la ténacité à la rupture, en se basant sur la nature homothétique du comportement mécanique des régions sises aux extrémités de fissures.
Cette fonction est utilisée pour présenter des données de ténacité à la rupture statistiquement variables, et pour fournir une prédiction satisfaisante des effet de la longueur du front de fissuration ou de la taille de l'éprouvette.
Sur cette base, on développe dans l'étude un critère statistique de rupture dans des matériaux linéaires élastiques comportant des distributions de nombreuses microfissures.
Les données relatives à plusieurs matériaux essayés dans divers laboratoires sont fournies, et les résultats d'essais statistiques présentés montrent la bonne concordance à laquelle conduit l'usage de la nouvelle finction. On considère également quelques données à caractère bimodal.
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Neville, D.J. Application of a new statistical function for fracture toughness to failures at microracks in brittle materials. Int J Fract 44, 79–96 (1990). https://doi.org/10.1007/BF00047061
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DOI: https://doi.org/10.1007/BF00047061