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Comportement mécanique des matériaux quasi-fragiles sous sollicitations cycliques : de l’expérimentation numérique au calcul de structures.

Abstract : Macroscopic mechanical behavior models are developed for their light computational costs, allowing the simulation of large structural elements, and the precise description of mechanical phenomena observed by the material at lower scales. Such constitutive models are here developed in the seismic solicitation framework, therefore implying cyclic alternate loadings at the material scale, and applied to civil engineering buildings, often made of concrete, or more generally of quasi-brittle materials. To date, macroscopic models applicable to structural computations, while representing the cyclic mechanical behavior are rare. In consequence of the intricacy of the fracture processes to homogenize, macroscopic constitutive models either do not present sufficient robustness or miss on important phenomena. One of the limitations to the resolution of this issue is the lack of experimental data. Indeed, because of the complexity of the experiments to set up, few results on alternate cyclic tests on concrete are available in the literature. A virtual testing approach has therefore been established on a microscopic model of the material, able to provide results needed to the formulation and the calibration of a macroscopic model. In the microscopic model, the material is considered as structure itself, it is developed so as to only necessitate a reduced amount of results from controlled experimental tests, in order to be used. The microscopic model, a lattice discrete element model, has been developed on the basis of an existing lattice model and extended to the simulation of multi-axial and cyclic loadings. The microscopic model has then been validated as a virtual testing tool and used to establish equations of the macroscopic model, on the basis of damage and plasticity theories. The consistency of the proposed constitutive relation, embedding progressive unilateral effect, has been achieved using non-linear elasticity. The macroscopic model has finally been calibrated, entirely with the microscopic model, and employed to simulate the response of a reinforced concrete wall under alternate shear loading. This simulation has served to showcase the numerical robustness of the proposed model, as well as the significant contribution of the uni-axial alternate behavior of concrete to the structural damping of such structures.
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Submitted on : Friday, April 10, 2015 - 10:04:17 AM
Last modification on : Friday, April 15, 2022 - 3:36:52 AM
Long-term archiving on: : Monday, September 14, 2015 - 6:46:39 AM


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  • HAL Id : tel-01140988, version 1


Maxime Vassaux. Comportement mécanique des matériaux quasi-fragiles sous sollicitations cycliques : de l’expérimentation numérique au calcul de structures.. Mécanique des matériaux [physics.class-ph]. École Normale Supérieure de Cachan, 2015. Français. ⟨tel-01140988⟩



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