Dissipation due to damage for an anisotropic 3D delay­-damage model Application to reinforced concrete structures under impact loadings

Marion Chambart 1, 2 Rodrigue Desmorat 2 Fabrice Gatuingt 2 Daniel Guilbaud 1
1 DYN - Laboratoire d'études de DYNamique
DM2S - Département de Modélisation des Systèmes et Structures : DEN/DM2S/SEMT/DYN
Abstract : The problem of degradation of civil engineering structures under impact loading is a complex topic largely studied due to high industrial demand. Our approach consists in developing a robust Finite Elements model and the efficient algorithms associated so as to carry out 3D simulations on reinforced concrete structures. The model is an anisotropic damage model, written in the thermodynamical background, where the damage variable is a second order tensor [1,2]. One can this way reproduce the dissymetry observed for concrete between tension and compression, and reproduce crack patterns for quasi­static and slow dynamics loadings. To extend the model to dynamics loadings it is necessary to consider the strain rate effect which introduce a relation between strain rate in tension and the maximal strength. A delay­damage [3] (viscosity) law now governs damage evolution. The effect of delay­damage on regularization in dynamics will be shown. Experiments on a drop­weight tower have been carried out to validate the results obtained numerically. Impact tests on two different reinforced concrete beams enable to show two different failure modes (bending and shear cone). Brazilian tests on plain concrete specimens have also been performed In both cases, numerical simulations and experimental results are compared. Image correlation is also used to interpret images recorded with an high speed numerical video camera. So as to better understand the phenomenons observed, we also propose a way to estimate dissipation due to damage [4]. This can be done thanks to the thermodynamical background that ensure than dissipation remain positive all the time [5]. Dissipation maps can be drawn and evolution curves plotted.
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Marion Chambart, Rodrigue Desmorat, Fabrice Gatuingt, Daniel Guilbaud. Dissipation due to damage for an anisotropic 3D delay­-damage model Application to reinforced concrete structures under impact loadings. Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2009, Jun 2009, Island of Rhodes, Greece. ⟨hal-01625039⟩

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