Comptes Rendus
no. 8
A greedy algorithm for yield surface approximation
[Un algorithme glouton pour lʼapproximation des surfaces de rupture]
Jérémy Bleyer1  ; Patrick de Buhan1
1 Université Paris-Est, laboratoire Navier, École des Ponts ParisTech – IFSTTAR – CNRS (UMR 8205), 6–8, avenue Blaise-Pascal, Cité Descartes, 77455 Champs-sur-Marne, France
Comptes Rendus. Mécanique, Volume 341 (2013) no. 8, pp. 605-615.

Cette Note présente une méthode dʼapproximation pour les convexes de résistance dans le cadre de la théorie du calcul à la rupture. Lʼalgorithme proposé construit une approximation utilisant une union convexe dʼellipsoides de sorte que le critère approché puisse être formulé à lʼaide de contraintes coniques du second ordre. Lʼalgorithme est capable de traiter le cas de surfaces bornées ou non bornées. Son efficacité est illustrée sur deux surfaces de rupture obtenues par des procédures de type changement dʼéchelle.

This Note presents an approximation method for convex yield surfaces in the framework of yield design theory. The proposed algorithm constructs an approximation using a convex hull of ellipsoids such that the approximate criterion can be formulated in terms of second-order conic constraints. The algorithm can treat bounded as well as unbounded yield surfaces. Its efficiency is illustrated on two yield surfaces obtained using up-scaling procedures.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2013.06.003
Keywords: Solids and structures, Yield design, Limit analysis, Yield surface approximation, Second-order cone programming
Mot clés : Solides et structures, Calcul à la rupture, Analyse limite, Approximation de surface de rupture, Programmation conique
Jérémy Bleyer 1 ; Patrick de Buhan 1

1 Université Paris-Est, laboratoire Navier, École des Ponts ParisTech – IFSTTAR – CNRS (UMR 8205), 6–8, avenue Blaise-Pascal, Cité Descartes, 77455 Champs-sur-Marne, France 
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Jérémy Bleyer; Patrick de Buhan. A greedy algorithm for yield surface approximation. Comptes Rendus. Mécanique, Volume 341 (2013) no. 8, pp. 605-615. doi : 10.1016/j.crme.2013.06.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.06.003/

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