THE PROBABILISTIC ANALYSIS OF REINFORCED CONCRETE FRAMES BASED ON THE DAMAGE MECHANICS
Karolinne Oliveira Coelho1; Sergio Gustavo Ferreira Cordeiro1; Edson Denner Leonel1; Julio Flórez-López2
1 University of São Paulo; 2 Federal University of Latin-American Integration
doi:10.20906/CPS/CILAMCE2017-0163
Resumo
The reinforced concrete (RC) is one of the most utilized building materials, which is widely applied in the structural engineering. However, the accurate representation of its complex mechanical behaviour is still a major problem in the structural engineering. Several approaches have been proposed in the literature for addressing this subject. Among them, it is worth citing the damage mechanics. In spite of the accuracy provided by the damage approaches, the mechanical behaviour of the concrete is widely affected by uncertainties, such as concrete cover thickness, geometrical dimensions and mechanical properties. Therefore, the realistic description of the inelastic behaviour of RC structures is only possible through the probabilistic point of view. Thus, this study aims to present a mecano-probabilistic approach for the modelling of RC frames. The mechanical degradation of the RC is described by the lumped damage model, which represents accurately the concrete cracking and reinforcements' yielding. This damage model is coupled to the crude Monte Carlo simulation method, which enables the robust description of failure and safe probabilistic domains. Two applications are presented: one simple supported RC beam and one 2D RC frame. The geometrical and mechanical properties are subjected to the uncertainties. Moreover, the loading conditions were modelled by the extreme value theory. Curves of probability of failure over the range of 50 years were obtained as well as the probabilistic progressive collapse path.
Palavras-chave: Damage mechanics; Structural reliability; Lumped damage theory; Reinforced concrete