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The paper deals with problems related to numerical modeling of cracks distribution in longitudinally reinforced concrete beams without transverse reinforcement. It was found, that the character of diagonal crack propagation in the beams changed according to the loading scheme, the scale of the member and the percentage of longitudinal reinforcement. To analyze the influence of those parameters on failure process, numerical simulations were performed. In the first step a linear elastic analysis was applied (Słowik, Nowicki [1]) to investigate the influence of loading scheme on diagonal crack propagation and than a nonlinear analysis was carried out (Słowik, Smarzewski [2]), in which the constitutive model for the triaxial behaviour of concrete was applied in order to analyze the scale effect. Those analysis gave interesting results which corresponded well to experiments.
It is a challenging task to model cracks in reinforced concrete members, especially when several cracks appear in the member. When modeling cracking and analyzing the influence of reinforcing bars on their distribution, the complication arises at modeling the bond between cement matrix, aggregate and steel. In order to improve numerical analysis, a more advanced method was used in this paper. A granular structure of concrete was simulated using the Discrete Element Method. This method was successfully used for modeling granular materials, for example by Roux, Chevoir [3] and Nitka, Tejchman [4].
In the paper the numerical study has been used to simulate the crack evaluation in accordance
to longitudinal reinforcement. Numerical results were compared with the experimental data.
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