Contribution à la simulation numérique des structures en béton armé : utilisation de fonctions de niveau pour la modélisation de la fissuration et des renforts

Abstract : Prediction of cracking is a key point for the analysis ofreinforced concrete structures, which requires the use of Modeling and numerical simulation. The analysis of reinforced concrete structures using the finite element method raises two issues: on one hand, few models areable to deal with the initiation, the propagation and the opening of cracks, on the other hand the diameter of thereinforcements which is usually small compared to the dimensions of the structures necessitates very fine meshes. Some solutions to these two problematics areproposed, based on the use of level set functions.Damage and cracking of concrete are modeled using theThick Level Set (TLS) approach. This method,developped as a mean to regularize local damagemodels, uses a level set to introduce a characteristic length. It makes the location of the cracks easy, whichallows to enrich the displacement field with the eXtendedFinite Element Method (X-FEM) in order to model the macro-cracks opening. Concerning the modeling of thereinforcements, a new multidimensionnal approach isproposed. A volumic representation of the reinforcements with the X-FEM method is used in the zones of interest to get accurate results while simplifying the meshing process, whereas a lineic representation isused elsewhere to decrease the number of degrees of freedom. The developed transition method insures the consistency of the results.
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Submitted on : Wednesday, July 24, 2019 - 4:43:08 PM
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Benoît Lé. Contribution à la simulation numérique des structures en béton armé : utilisation de fonctions de niveau pour la modélisation de la fissuration et des renforts. Génie civil. École centrale de Nantes, 2016. Français. ⟨NNT : 2016ECDN0003⟩. ⟨tel-02193722⟩

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