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Fissuration des structures en béton précontraint: Modélisation, validation et interprétation

Cracking of prestressed concrete structures: Modelisation, validation and interpretation

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Résumé

Cet article traite de la fissuration et de l'armature minimale des structures en béton armé et précontraint. Il traite de la modélisation de la refermeture des fissures sous un effort de compression dû à la précontrainte. Le béton, l'acier d'armature et l'adhérence sont décrits par un ensemble de lois constitutives permettant, pour la montée en charge et la décharge, de tenir compte du comportement iso-adoucissant du béton et de l'endommagement de la liaison acier-béton. Le modèle permet de déterminer le glissement entre acier et béton, la contrainte d'adhérence, la contrainte dans les aciers et le béton le long de la zone de transmission. Il permet en outre de calculer la longueur de transmission entre la section fissurée et la section voisine fonctionnant de façon homogène (stade I). Une bonne correspondance est observée entre les prévisions du modèle et une série de 11 essais sur des tirants armés et précontraints conduite à l'École Polytechnique Fédérale de Lausanne. Cet article présente en outre quelques applications du modèle, ainsi que quelques résultats et conclusions d'une vaste étude paramétrique basée sur le modèle.

Abstract

This paper discusses the influence of minimum rein-forcement on the cracking behaviour of prestressed concrete structures. It deals with modelling of the reclosing of cracks induced by a permanent compressive stress due to prestressing. Concrete, reinforcement and bond are described by a set of constitutive laws for loading and unloading taking into account the softening of cracked concrete and creep of the bond between steel and surrounding concrete. The computerised model allows to determine steel-to-concrete slip, bond stress, concrete stress and steel stress along the transmission length. It is also able to calculate the transmission length between the crack and the homogeneous section (state I). Good agreement was observed between the analytical model and the results of 11 large scale tests of RC & PC tie elements performed at Swiss Federal Institute of Technology at Lausanne. This paper also presents some applications and conclusions of a large parametric study performed using the analytical model.

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Authors and Affiliations

  1. Institut de statique et structures, Béton armé précontraint, École Polytechnique Fédérale de Lausanne (EPFL), Suisse

    P. Laurencet, J. -P. Jaccoud & R. Favre

Authors
  1. P. Laurencet
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  2. J. -P. Jaccoud
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  3. R. Favre
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Editorial Note Dr. J.-P. Jaccoud is a RILEM Senior Member.

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Laurencet, P., Jaccoud, J.P. & Favre, R. Fissuration des structures en béton précontraint: Modélisation, validation et interprétation. Mat. Struct. 32, 360–369 (1999). https://doi.org/10.1007/BF02479628

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  • DOI: https://doi.org/10.1007/BF02479628

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