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Méthode de zoom structural étendue aux hétérogénéités non linéaires.

Abstract : A multi-scale approach introduces a structural zoom method into a region of interest, called the patch, using only field projection operators. The different behaviours in the patch and in the overall structure are taken into account without using weight parameters between local and global energies such as the Arlequin method. Our initial problem is to digitally reliable the structural zoom method for the linear case, and more precisely to choose a high-performance solver on Krylov spaces, as well as effective preconditioning and ordering adapted to the system to be solved. Once the solver is chosen, this approach is mechanically validated in the mean of two tests, namely traction and shear. A parametric study of the patch is performed to obtain an acceptable solution. The next objective is to extend this approach to regions with heterogeneities of non-linear behaviour. The method has been reached out for elastoplastic behaviour. Initial hypothesis assumes the elastoplastic behaviour only inside the patch and an elastic behaviour of the overall structure as well as of the gluing area. Finally, this approach is validated with different tests including several faults and therefore several patches as well as different loading history.
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Anthony Chagneau. Méthode de zoom structural étendue aux hétérogénéités non linéaires.. Autre. Université Montpellier, 2019. Français. ⟨NNT : 2019MONTS051⟩. ⟨tel-02476276⟩

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