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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 modelling of structures using multifibre beam elements. This numerical method was proved to be efficient to simulate the behaviour 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 multibfibre beam elements. A new multifibre 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 modelling of beams in torsion. After implementation of the warping kinematics in a Timoshenko multifibre beam element, the formulation is validated against the experimental behaviour of beams subject to pure torsion. The material is modelled 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 behaviour 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 behaviour of a full structure subject to a seismic loading.
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https://hal.archives-ouvertes.fr/tel-01697698
Contributor : Sophie Capdevielle <>
Submitted on : Wednesday, January 31, 2018 - 2:27:52 PM
Last modification on : Monday, September 14, 2020 - 8:44:04 AM
Long-term archiving on: : Friday, May 25, 2018 - 10:58:47 PM

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  • HAL Id : tel-01697698, 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.. Génie civil. Université Grenoble Alpes, 2016. Français. ⟨tel-01697698⟩

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