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Analyse non-linéaire matérielle et géométrique des structures coques en béton armé sous chargements statiques et dynamiques

Abstract : Multilayered shell elements have proven to be highly efficient for non-linear analysis of structures. In the past, these finite elements were applied with specific constitutive laws for concrete and steel. This work is devoted to an extension of multilayered shell element to constitutive laws with internal variables (plasticity, visco-elasto-plasticity, damage). Based on a semi-global approach, multilayered shell elements allow to account for material and geometrical non-linear effects in structural shell type structures subject to various loadings, at low computation costs. We first give a formulation of these elements with the hypothesis of small strains. A further development which addresses non-linear geometrical effects, is then given using an Updated Lagrangian Description together with a semi-tangential approximation of finite rotations. The second part of this work addresses both general theory and numerical procedures for internal variables constitutive laws. We review a number of constitutive laws useful for modeling steel and concrete behavior under static and dynamic loading. A special attention is given to the plane stress condition in both the local integration scheme of stresses and the calculation of the tangent stiffness matrix. These developments are implemented in the finite element program CESAR-LCPC. Through a number of numerical applications, we show the field of these developments, as well as their limits, as design tools for structural engineers.
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Amel Aouameur-Mesbah. Analyse non-linéaire matérielle et géométrique des structures coques en béton armé sous chargements statiques et dynamiques. Matériaux. Ecole Nationale des Ponts et Chaussées, 1998. Français. ⟨tel-00529774⟩

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