Abstract
This paper studies the relationship between the two parameter fracture model and the size effect model. An equivalency between two models is first established based on infinitely large size specimens. Based on this equivalency, relationships between material fracture parameters (K sIc , CTODc) and (G f, cf) are derived. Using these relationships, values of (K sIc , CTODc) and (G f, cf) can be predicted from each other. It is found that the relationship betweenCTOD c andc f theoretically depends on both specimen geometry and initial crack length. However this dependency is numerically insignificant, except for tensile plate with a short center notch. The obtained results may explain why both the two parameter fracture model and the size effect model can reasonably predict fracture behavior of quasi-brittle materials.
Résumé
Dans cet article, on étudie la relation entre le modèle de fracture à deux paramètres et le modèle de l'effet de dimension. On établit tout d'abord une équivalence entre les deux modèles en se basant sur deux échantillons de dimension infiniment grande. En s'appuyant sur cette équivalence, on déduit les relations entre les paramètres de fracture des matériaux (K sIc , CTODc) et (Gf, cf). En utilisant ces relations, les valeurs de (K sIc , CTODc) et (Gf, cf) peuvent être déduites l'une de l'autre. On a trouvé que la relation entre CTODc et cf dépend théoriquement à la fois de la géométrie de l'échantillon et de la longueur initiale de la fissure. Toutefois, cette dépendance est numériquement non significative, excepté pour les plaques mises en traction avec une entaille centrale. Les résultats obtenus peuvent expliquer pourquoi à la fois le modèle de fracture à deux paramètres et le modèle de l'effet de dimension peuvent prévoir de façon raisonnable le comportement à la rupture de matériaux quasi-fragiles.
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Editorial note Prof. S.P. Shah has long been involved in RILEM activities. As a young researcher, he was awarded one of the first RILEM Metals, in 1982. Then he participated in the TCs dealing with fracture mechanics (89-FMT and 90-FMA), chairing 89-FMT and editing the final report issued by the latter TC. Now, he is chairman of TC 148 on strain softening response of concrete. Prof. S.P. Shah was appointed RILEM Fellow in 1994.
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Ouyang, C., Tang, T. & Shah, S.P. Relationship between fracture parameters from two parameter fracture model and from size effect model. Mat. Struct. 29, 79–86 (1996). https://doi.org/10.1007/BF02486197
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DOI: https://doi.org/10.1007/BF02486197