3d nonlinear finite element simulations of a rc building mock-up subject to tri-dimensional earthquake

Abstract eng:
Severe loadings such as earthquake on reinforced concrete structures induce strong nonlinear behaviors till rupture, due to concrete cracking, steel plasticity and bond-slip between the materials. The opportunity to perform predictive analysis in nonlinear transient dynamics leads to some simplifications: at the structural scale by employing for example simplified analysis numerical tools such as multifibre beams analysis or shell elements for 2 D structural elements, or at the material level by omitting to account for some damaging or degradations mechanisms. The aim of this presentation is to expose the ability of a complex damage induced anisotropic constitutive model to be used in the framework of seismic nonlinear analysis. If one has to account for crack spacing or opening in a concrete structure, the material model has also to deal with the crack orientation. Recent developments [9] allow accounting for a second order damage tensor in the stress-strain constitutive equations for concrete and keeping in the same way the simplicity of an explicit numerical implementation by choosing a strain based free energy. Some modifications allow introducing the non-monotonic loading, key point in earthquake engineering, and the crack closure (concomitant to complete or partial stiffness recovery) in the thermodynamic formulation. The thermodynamic formulation as well as the numerical implementation will be presented, insuring a robust and efficient analysis under cyclic loading. The case study of the SMART mock-up will be analyzed. It is a 40 tons reinforced concrete building, 1/4 scale, and subject to strong earthquake in the 3 directions. The experimental campaign has been performed at CEASaclay, using the TAMARIS facility. The ability of the model to predict the global behavior as well as the crack pattern under strong ground motion is emphasized.

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