Comportement à rupture des structures : description à deux échelles des mécanismes locaux appliquée aux matériaux fragiles renforcés

Abstract : In the context of sustainable development, the study of cracking of large concrete structures has become of primary importance. Two levels of analysis appear: the structure scale and the crack scale. At the structural level, non-linear finite element analyses based on continuum damage mechanics can be carried out. Nevertheless, the use of such models requires the introduction of a characteristic length to prevent the occurrence of spurious mesh dependency in case of strain softening. This characteristic length tends to smooth the discontinuity and thus makes the study of the cracks harder. At the crack level, an explicit description of the crack can be achieved using discrete element methods. This way, the main failure mechanisms of quasi-brittle materials are recovered. But the mesh density required for such modeling is nevertheless prohibitive to treat a whole industrial structure. A non-intrusive technique is proposed, allowing the use of finite element models at a global scale and a decoupled local analysis of some interesting areas, i.e. around cracks, for which a discrete element model is used. Numerical results obtained from the proposed strategy are compared with experimental results and show the applicability of the approach. Several test cases are studied proving the capability of the approach to model the cracks propagation of loaded concrete structures. Specific concrete problems such as scale effect, 3D effect or rebars impact are addressed.
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Cécile Oliver-Leblond. Comportement à rupture des structures : description à deux échelles des mécanismes locaux appliquée aux matériaux fragiles renforcés. Matériaux et structures en mécanique [physics.class-ph]. École normale supérieure de Cachan - ENS Cachan, 2013. Français. ⟨NNT : 2013DENS0057⟩. ⟨tel-01081003⟩

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