Abstract
The crack band and the fictitious crack line models of the fracture process zone in cementitious materials are discussed. The two methods are quite similar. However, the fictitious crack model is shown to lend itself to a simple K-superposition method which makes use of known analytical expressions. This method is shown to give very similar results to a finite-element analysis of the fictitious crack model and has the advantage that it can be programmed for a personal computer. The predictive capability of the fictitious crack model is demonstrated by comparison of the experimental load-deflection curve for a small notch bend mortar specimen with a theoretical curve calculated from data obtained from larger beams. It is suggested that the RILEM test method for the determination of the fracture energy should be used also to establish a bilinear stress-displacement relationship for the strain-softening of the fracture process zone.
Resume
Deux modèles de description de la rupture par fissuration des matériaux à base de ciment sont ici étudiés: celui de la ‘bande de fissuration’ et celui de la ‘fissuration fictive’. Les deux types d’analyse sont très proches mais on montre cependant que le modèle de ‘fissure fictive’ peut se ramener à une méthode de superposition de trois facteurs d’intensité de contrainte dont l’utilisation requiert la connaissance d’expressions analytiques.
Cette méthode se révèle donner des résultats très similaires à ceux obtenus par éléments finis avec la ‘fissure fictive’ et présente l’avantagè de pouvoir être programmée sur un ordinateur de type P.C.
On démontre la capacité de prédiction du modèle de fissuration fictive par comparaison de la courbe expérimentale charge/flèche d’une petite éprouvette de mortier entaillée avec la courbe théorique calculée à partir des données obtenues sur des poutres plus grandes.
On suggère que la méthode d’essai RILEM, peur la détermination de l’énergie de rupture, soit aussi utilisée afin d’établir une relation bilinéaire contrainte-déplacement pour la phase de radoucissement qui apparaît dans la zone de fissuration.
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Cotterell, B., Paramasivam, P. & Lam, K.Y. Modelling the fracture of cementitious materials. Materials and Structures 25, 14–20 (1992). https://doi.org/10.1007/BF02472208
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DOI: https://doi.org/10.1007/BF02472208