A LUMPED DAMAGE MODEL FOR THE ANALYSIS OF DUAL SYSTEMS OF REINFORCED CONCRETE

Resumo

The search for mathematical models capable of estimating the level of degradation of
reinforced concrete structures is increasing. However, due to the complexity, the number of variables
involved and the physical non-linearity of the problem, the determination of these models becomes
somewhat complicated. Due to this need, there are behavioral models for elements with bending failure
and behavioral models for elements with shear failure that have been proposed independently. However,
there are still few models that include the evaluation of the inelastic response considering the interaction
between the two types of forces (shear force and bending moment). In addition, the models proposed in
the literature have as main limitation the uncertainty in the selection of parameters that adequately
represent the inelastic behavior of the elements. To overcome these difficulties, in this paper, it is
proposed a constitutive model based on lumped damage mechanics (LDM). A finite element is used that
includes two auxiliary subroutines capable of representing the inelastic behavior of the structure
considering the two types of forces. The model was validated through comparisons of results of
numerical simulations with experimental results. Later, the model is used for the dynamic analysis of
dual systems. The results show that the proposed model is interesting because besides being able to use
to verify the structural integrity of already completed buildings, it can contribute to the realization of
more advanced projects, in such a way that the cracking during a loading can be controlled and prevent
structural collapse.