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Adaptation de la méthode des éléments discrets à l'échelle de l'ouvrage en béton armé : une approche couplée éléments discrets/éléments finis

Abstract : The general framework of that study deals with prediction of reinforced concrete structure response under severe dynamic loads such as impacts due to natural hazards or human factors. A reliable and efficient design of structures under such loading needs to take into account local discontinuities due to impact as well as the global response of structure. Locally, the discrete element method (DEM) is used to analyze discontinuous phenomena. The 3D discrete element method has been validated by means of simulations of quasi-static and dynamic tests performed on plain and reinforced concrete structures.

This study has developed the identification process of the local parameters to have more reliable calibration parameters. The applications of DEM to large scale structures were limited due to computing costs. The number of elements increase reduces drastically computational efficiency. To improve that point, the region without any assumed damage is modelled by means of the finite element method. This method is applied on the remaining structure to reduce both times of computation and modelling. With this coupled method, different structural responses may be predicted such as the missile penetration, damage of the structure and global displacement or first natural frequencies.

The methodology for multi-scale simulation must take into account different potential problems. The variables can be different on the two domains and it is important to understand the relations that relate them. The two scale model might introduce spurious wave reflexions which are attenuated by a relaxation method or a damping method.

The starting point of our method uses a bridging sub-domain where the Hamiltonian is taken to be a linear combination of discrete and continuum Hamiltonians. Inside the overlapping domain, we enforce the relations between on one hand the discrete rotations and displacements and on the other hand the continuum displacements by Lagrange multipliers.

To validate the coupled approach, the method is applied on concrete slab and reinforced concrete slab under a localized impact.
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Contributor : Emmanuel Frangin <>
Submitted on : Thursday, August 28, 2008 - 4:39:20 PM
Last modification on : Thursday, November 19, 2020 - 3:54:37 PM
Long-term archiving on: : Thursday, June 3, 2010 - 5:35:54 PM

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  • HAL Id : tel-00315502, version 1

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Emmanuel Frangin. Adaptation de la méthode des éléments discrets à l'échelle de l'ouvrage en béton armé : une approche couplée éléments discrets/éléments finis. Matériaux. Université Joseph-Fourier - Grenoble I, 2008. Français. ⟨tel-00315502⟩

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