A greedy algorithm for yield surface approximation

Jérémy Bleyer (1) , Patrick de Buhan (1)

1 multi-échelle - Modélisation et expérimentation multi-échelle pour les solides hétérogènes

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.

Mots clés: Programmation conique; Approximation de surface de rupture; Analyse limite; Solides et structures; Calcul à la rupture

Domaines: Physique [physics]; Mécanique [physics]; Matériaux et structures en mécanique [physics.class-ph]; Sciences de l'ingénieur [physics]; Mécanique [physics.med-ph]; Matériaux et structures en mécanique [physics.class-ph]

Jérémy Bleyer, Patrick de Buhan. A greedy algorithm for yield surface approximation. Comptes Rendus Mécanique, 2013, 341 (8), pp.605-615. ⟨10.1016/j.crme.2013.06.003⟩. ⟨hal-00850868⟩