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Stabilité des structures minces et sensibilité aux imperfections par la Méthode Asymptotique Numérique

Abstract : This work is devoted to the stability and imperfection sensitivity analysis of thin-shell structures and to the development of efficient numerical methods for nonlinear problems. A numerical path-following of the curve connecting the limit points gives the reduction of critical buckling load which exhibits the sensitivity of the structure to a given imperfection. The underlying algorithm relies on an extended system which contains the equilibrium equations and an additional equation characterizing the singular points. In these equations, the imperfection amplitude is an additional parameter. A modern and efficient shell formulation based on the EAS concept is used. The resulting shell element can handle large rotations and thickness stretching. It takes geometrical nonlinearities into account without any approximation and can deal with material nonlinearities through 3D constitutive laws. The resulting numerical tool is completely based on the Asymptotic Numerical Method. Its main features are : (1) the calculation of nonlinear equilibrium paths with a continuation method, (2) the detection of singular points along an equilibrium branch, (3) the sensitivity analysis of 3D structures through limit-points following for shape or thickness imperfections, in the case of global or local defects.
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https://tel.archives-ouvertes.fr/tel-00593941
Contributor : Sébastien Baguet <>
Submitted on : Wednesday, May 18, 2011 - 11:02:30 AM
Last modification on : Tuesday, November 19, 2019 - 12:30:40 PM
Document(s) archivé(s) le : Friday, August 19, 2011 - 2:22:18 AM

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  • HAL Id : tel-00593941, version 1

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Sébastien Baguet. Stabilité des structures minces et sensibilité aux imperfections par la Méthode Asymptotique Numérique. Mécanique [physics.med-ph]. Université de la Méditerranée - Aix-Marseille II, 2001. Français. ⟨tel-00593941⟩

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