Abstract
In this paper a numerical model is presented for simulating fracture in heterogeneous materials such as concrete and rock. The typical failure mechanism, crack face bridging, found in concrete and other materials is simulated by use of a lattice model. The model can be used at a small scale, where the particles in the grain structure are generated and aggregate, matrix and bond properties are assigned to the lattice elements. Simulations at this scale are useful for studying the influence of material composition. In addition the model seems a promising tool for simulating fracture in structures. In this case the microstructure of the material is not mimicked in detail but rather the lattice elements are given tensile strengths which are randomly chosen out of a certain distribution. Realistic crack patterns are found compared with experiments on laboratory-scale specimens. The present results indicate that fracture mechanisms are simulated realistically. This is very important because it simplifies the tuning of the model.
Resume
Dans cet article on présente un modèle numérique de simulation de rupture dans les matériaux hétérogènes tels que bétons et roches. Le mécanisme de rupture typique par pont de fissuration en surface, qui se rencontre dans le béton et d'autres matériaux, est simulé à l'aide d'un modèle réticulaire qu'on peut utiliser à une échelle réduite là où les particules sont définies dans la structure granulaire, et les propriétés du granulat, de la matrice et de l'adhérence sont assumées par les éléments du réseau. Des simulations à cette échelle sont utiles pour étudier l'influence de la composition du matériau. En outre, le modèle paraît un outil prometteur pour simuler la rupture dans les structures. En ce cas, on n'imite pas la microstructure du matériau dans le détail, on préfère attribuer aux éléments du treillis des résistances à la traction prises au hasard d'une certaine distribution. On compare des modèles réalistes de fissuration à des essais sur des éprouvettes à léchelle du laboratoire. Les résultats actuels montrent que les mécanismes de rupture sont simulés de façon réaliste, ce qui est très important, car cela simplifie l'ajustement du modèle.
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Schlangen, E., van Mier, J.G.M. Simple lattice model for numerical simulation of fracture of concrete materials and structures. Materials and Structures 25, 534–542 (1992). https://doi.org/10.1007/BF02472449
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DOI: https://doi.org/10.1007/BF02472449