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Méthodes numériques pour le calcul à la rupture des structures de génie civil

Abstract : This work aims at developping efficient numerical tools for a more rational and less empirical assessment of civil engineering structures yield design. As opposed to traditionnal methodologies relying on combinations of elastic computations, safety coefficients and local checking of critical members, the yield design theory seems to be a very promising tool for a more rigourous evaluation of structural safety. Lower bound static and upper bound kinematic approaches of the yield design theory are performed numerically using dedicated finite elements for plates in bending and shells in membrane-bending interaction. Corresponding optimization problems are then solved using very efficient conic programming solvers. The proposed tools are also extended to the framework of periodic homogenization in yield design, which enables to tackle the case of strong material heterogeneities. Numerical procedures are specifically tailored to compute equivalent homogeneous strength criteria and to use them, in a second step, in a computation at the structural level. Finally, the potentialities of the yield design approach are illustrated on two complex engineering problems : the stability assessment of high-rise reinforced concrete panels in fire conditions and the computation of the Paris-Austerlitz railway station canopy
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Submitted on : Tuesday, October 20, 2015 - 10:21:44 PM
Last modification on : Saturday, January 15, 2022 - 3:48:47 AM


  • HAL Id : tel-01218303, version 1


Jérémy Bleyer. Méthodes numériques pour le calcul à la rupture des structures de génie civil. Génie civil. Université Paris-Est, 2015. Français. ⟨NNT : 2015PESC1043⟩. ⟨tel-01218303⟩



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