Accéder directement au contenu Accéder directement à la navigation
Article dans une revue

A computational homogenization approach for the yield design of periodic thin plates. Part II : Upper bound yield design calculation of the homogenized structure

Abstract : In the first part of this work (Bleyer and de Buhan, 2014), the determination of the macroscopic strength criterion of periodic thin plates has been addressed by means of the yield design homogenization theory and its associated numerical procedures. The present paper aims at using such numerically computed homogenized strength criteria in order to evaluate limit load estimates of global plate structures. The yield line method being a common kinematic approach for the yield design of plates, which enables to obtain upper bound estimates quite efficiently, it is first shown that its extension to the case of complex strength criteria as those calculated from the homogenization method, necessitates the computation of a function depending on one single parameter. A simple analytical example on a reinforced rectangular plate illustrates the simplicity of the method. The case of numerical yield line method being also rapidly mentioned, a more refined finite element-based upper bound approach is also proposed, taking dissipation through curvature as well as angular jumps into account. In this case, an approximation procedure is proposed to treat the curvature term, based upon an algorithm approximating the original macroscopic strength criterion by a convex hull of ellipsoids. Numerical examples are presented to assess the efficiency of the different methods.
Liste complète des métadonnées

Littérature citée [21 références]  Voir  Masquer  Télécharger

https://hal-enpc.archives-ouvertes.fr/hal-00987438
Contributeur : Jérémy Bleyer <>
Soumis le : mardi 6 mai 2014 - 11:07:23
Dernière modification le : vendredi 17 juillet 2020 - 17:09:09
Archivage à long terme le : : mercredi 6 août 2014 - 12:05:36

Fichier

periodic_thin_plates_homogeniz...
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Jérémy Bleyer, Patrick de Buhan. A computational homogenization approach for the yield design of periodic thin plates. Part II : Upper bound yield design calculation of the homogenized structure. International Journal of Solids and Structures, Elsevier, 2014, 51 (13), pp.2460-2469. ⟨10.1016/j.ijsolstr.2014.03.019⟩. ⟨hal-00987438⟩

Partager

Métriques

Consultations de la notice

507

Téléchargements de fichiers

522