A polynomial chaos expansion model for sensitivity analysis and reliability assessment of reinforced concrete structures subjected to cyclic loading
Résumé
Cyclic loading is one of the main causes of degradation of reinforced concrete structures. The behavior of a reinforced concrete structure in fatigue can be represented by mechanical models, based on different theories (damage, fracture, plasticity ...), whose development requires knowledge of the characteristic parameters of the material and uncertainties associated. In this paper, we propose a polynomial chaos expansion (PCE) methodology to propagate parameter uncertainties in a damage model. The PCE will also be used to perform a sensitivity analysis of the model. Sensitivity analysis allows quantifying the effects of input variables or their combinations on the output variables of a model. The methodology is illustrated with a reinforced concrete beam subjected to cyclic loading. The results indicate that the deterministic model and PCE are close to the experimental results. The sensitivity analysis was also useful to determine which are the most influencing parameters for a reliability analysis.
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