In this paper, an improvement to the probabilistic discrete cracking model of fibre reinforced concretes, developed in the past by Pierre Rossi, is proposed. In this new model: - Cracks creation and propagation in the concrete are taken into account by using special interface elements. These interface elements open when the normal tensile stress at their centre of gravity reaches a critical value. The probabilistic aspect of the cracking process is given by the fact that the critical value of the tensile stress is randomly distributed through the mesh elements. - Immediately after the creation of cracks, the fibres bridging effect is then taken into account in a damage model approach. The probabilistic aspect consists of randomly distributing the post-cracking energy. The improved numerical model is used to analyze the shear behaviour of a steel fibre reinforced concrete beam. The numerical simulations are compared with the experimental results in terms of the beam's global behaviour and the cracking process (number of cracks, spacing and opening). The numerical and experimental results agree well.
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