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Introduction du gauchissement dans les éléments finis multifibres pour la modélisation non linéaire des structures en béton armé

Abstract : The present work is dedicated to the numerical modeling of structures using multifiber beam elements. This numerical method was proved to be efficient to simulate the behavior of slender structural elements subject to normal stresses. However, the response of the model for shear-dominating stresses lacks of accuracy. This problem is addressed by introducing warping in the kinematics of multibfiber beam elements. A new multifiber element is developed in two steps. Torsional warping is first introduced in the deformations of an arbitrary-shaped composite cross section. The resulting warping profiles are validated by comparison with the axial displacements obtained by three-dimensional modeling of beams in torsion. After implementation of the warping kinematics in a Timoshenko multifiber beam element, the formulation is validated against the experimental behavior of beams subject to pure torsion. The material is modeled by a 3D damage law, and warping is updated throughout the computations to account for damage evolution. A comparison of torque–twist curves predicted with enhanced and classical beam elements to experimental curves highlights the importance of including warping in the model. The second step consists in formulating an element with additional warping degrees of freedom, accounting for the warping deformations due to both transverse shear and torsion. This element is validated using an analytical model for a beam subject to transverse shear. Then the linear elastic behavior of a beam subject to both shear and torsion is successfully compared to the results of a 3D simulation. The complete formulation is coupled to damage through an implicit soulution procedure for the beam and the warping degrees of freedom. The enhanced method is eventually used to compute the behavior of a full structure subject to a seismic loading.
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https://tel.archives-ouvertes.fr/tel-01824540
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Submitted on : Wednesday, June 27, 2018 - 12:29:06 PM
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  • HAL Id : tel-01824540, version 1

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Sophie Capdevielle. Introduction du gauchissement dans les éléments finis multifibres pour la modélisation non linéaire des structures en béton armé. Mécanique des matériaux [physics.class-ph]. Université Grenoble Alpes, 2016. Français. ⟨NNT : 2016GREAI109⟩. ⟨tel-01824540⟩

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