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A greedy algorithm for yield surface approximation
Authors:    my Bleyer,Patrick de Buhan
Affiliation: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
Abstract: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.
Keywords:Solids and structures   Yield design   Limit analysis   Yield surface approximation   Second-order cone programming
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