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Modélisation de la rupture dans les structures en béton armé par des éléments finis poutres généralisées et multifibres

Abstract : This thesis, carried out within the framework of the French national project SINAPS@, aims to develop generalized and multifiber finite beam elements to simulate the behavior of reinforced concrete structures till failure. The Timoshenko finite element beam formulation introduced by (Caillerie, et al., 2015) is chosen as the starting point. This formulation is free of shear blocking and uses high order shape functions to interpolate the transversal displacement and rotation fields. The formulation of (Caillerie et al., 2015) is first compared with other finite element beam formulations existing in the literature and validated for linear and non-linear calculations. A kinematic enhancement of the axial displacement field is proposed in order to improve the element’s ability to reproduce the interaction between the axial force and flexural moment. In order to model the behavior of a structure till failure, the embedded finite element method is adopted. This method consists in enhancing the kinematics by introducing a displacement discontinuity variable to reproduce the crack. The enhancement is first applied at the section level and then at the fiber level and thus two new formulations, a generalized Timoshenko beam and a multifiber Timoshenko beam, are proposed. The enhancement of the displacement field provides objective global responses and the ability to reproduce the structural behavior till failure. The performance of the new elements is validated by numerical studies and comparisons with experimental results.
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Submitted on : Friday, March 30, 2018 - 1:59:01 PM
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Ibrahim Bitar. Modélisation de la rupture dans les structures en béton armé par des éléments finis poutres généralisées et multifibres. Génie civil. Ecole Centrale de Nantes (ECN), 2017. Français. ⟨tel-01755118⟩

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