Stress-based upper-bound method and convex optimization: case of the Gurson materialMéthode cinématique par les contraintes et optimisation convexe : cas du matériau de Gurson |
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Authors: | Franck Pastor Malorie Trillat Joseph Pastor Etienne Loute |
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Affiliation: | 1. Facultés universitaires Saint-Louis, boulevard Jardin Botanique 43, B-1000 Brussels, Belgium;2. Laboratoire “Optimisation de la conception et ingénierie de l''environnement ”(LOCIE), bâtiment Chartreuse, campus scientifique, 73376 Le Bourget du Lac, France |
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Abstract: | A nonlinear interior point method associated with the kinematic theorem of limit analysis is proposed. Associating these two tools enables one to determine an upper bound of the limit loading of a Gurson material structure from the knowledge of the sole yield criterion. We present the main features of the interior point algorithm and an original method providing a rigorous kinematic bound from a stress formulation of the problem. This method is tested by solving in plane strain the problem of a Gurson infinite bar compressed between rough rigid plates. To cite this article: F. Pastor et al., C. R. Mecanique 334 (2006). |
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Keywords: | Porous media Interior point optimization Limit analysis Upper bound method Gurson material Milieux poreux Optimisation point intérieur Analyse limite Méthode cinématique Matériau de Gurson |
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