Abstract
A mechanical model for the analysis of reinforced concrete frame structures based on the Finite Element Method (FEM) is proposed in this paper. The nonlinear behavior of the steel and concrete is modeled by plasticity and damage models, respectively. In addition, geometric nonlinearity is considered by an updated lagrangian description, which allows writing the structure equilibrium in the last balanced configuration. To improve the modeling of the shear influence, concrete strength complementary mechanisms, such as aggregate interlock and dowel action are taken into account. A simplified model to compute the shear reinforcement contribution is also proposed. The main advantage of such a model is that it incorporates all these effects in a one-dimensional finite element formulation. Two tests were performed to compare the provided numerical solutions with experimental results and other one- and bi-dimensional numerical approaches. The tests have shown a good agreement between the proposed model and experimental results, especially when the shear complementary mechanisms are considered. All the numerical applications were performed considering monotonic loading.
Highlights
Nowadays, the search for mathematical models that accurately represent the mechanical behavior of reinforced concrete elements is still intense
This paper presents a mechanical model based on one-dimensional finite element method taking into account the aggregate interlock, dowel action and shear reinforcement contributions in the reinforcement concrete member’s strength
This paper presented a mechanical model based on the one-dimensional finite element method which incorporates the shear reinforcement strength, the dowel action and the aggregate interlock from the concepts of the damage mechanics, besides the geometric nonlinearity
Summary
The search for mathematical models that accurately represent the mechanical behavior of reinforced concrete elements is still intense. The FEM has been successfully used in the modeling of reinforced concrete structures, its classical formulation does not consider the shear influence and its strength complementary mechanisms Among these mechanisms, the aggregate interlock, dowel action, bond-slip behavior between steel and surrounding concrete and tension stiffening can be cited. This paper presents a mechanical model based on one-dimensional finite element method taking into account the aggregate interlock, dowel action and shear reinforcement contributions in the reinforcement concrete member’s strength. These phenomena were adapted to a plane frame finite element (1D) coupled with a damage model for concrete and an elastoplastic model for the reinforcements. The main advantage of this coupled model is its simplicity, as all those mechanisms were considered in a 1D FEM formulation
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