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Flambement d'une sphère sous cisaillement circonférentiel

Abstract : Shell structures are widely used in industrial applications, such as pressure vessels, transportation facilities and buildings. However, the economic interest of such thin structures is counteracted by their weaknesses in terms of mechanical strength, when compared to solid structures. In the particular case of pressure vessels submitted to compressive/shear loadings, buckling is one of the main failure mode and leads to significant material and human risks. It has been therefore the subject of many studies for more than a century, all the more so as large discrepancies between theoretical predictions and experiments are commonly observed (since the pioneering works of Lorenz, Timoshenko and Southwell in the case of a cylindrical shell under axial compression). Much later, this phenomenon has been explained, thanks to the contributions of von Kàrman and Tsien, and then to the decisive one of Koiter [1]. The latter built the foundations of the post-buckling analysis and proved that, contrary to beams and plates, shells are generally shown to be very imperfection-sensitive. Unsure of the precise nature and amplitude of the initial defects, and for efficiency purposes, the most current design method used in shell buckling relies then on a combination of theoretical results on perfect structures and the use of knock-down factors, which are supposed to account for possible geometric and material imperfections, or loading and boundary condition effects. In this work, the buckling behavior of sphericals shells subjected to cir-cumferential shear loads is investigated through the use of the European Recommendations framework (ECCS) [2]. Thus, parametric studies using the different analyses which are currently implemented in the ECCS text make it possible to retrieve the key parameters of the capacity curves for spherical shells under circumferential shear.
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Submitted on : Monday, March 12, 2018 - 11:43:56 PM
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Mamadou Tall, Saïd Hariri, Philippe Le Grognec, Yves Simonet. Flambement d'une sphère sous cisaillement circonférentiel. 23ème Congrès français de mécanique - CFM 2017, Association française de mécanique (AFM), Aug 2017, Lille, France. ⟨hal-01730104⟩

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