A greedy algorithm for yield surface approximation

Jérémy Bleyer; Patrick de Buhan

doi:10.1016/j.crme.2013.06.003

A greedy algorithm for yield surface approximation

Jérémy Bleyer
, Patrick de Buhan

Université Paris-Est

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	605-615
Number of pages	11
Journal	Comptes Rendus - Mecanique
Volume	341
Issue number	8
DOIs	https://doi.org/10.1016/j.crme.2013.06.003
Publication status	Published - 1 Aug 2013
Externally published	Yes

Keywords

Limit analysis
Second-order cone programming
Solids and structures
Yield design
Yield surface approximation

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10.1016/j.crme.2013.06.003

Cite this

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title = "A greedy algorithm for yield surface approximation",

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.",

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AU - de Buhan, Patrick

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AB - 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.

KW - Limit analysis

KW - Second-order cone programming

KW - Solids and structures

KW - Yield design

KW - Yield surface approximation

U2 - 10.1016/j.crme.2013.06.003

DO - 10.1016/j.crme.2013.06.003

M3 - Article

AN - SCOPUS:84881544921

SN - 1631-0721

VL - 341

SP - 605

EP - 615

JO - Comptes Rendus - Mecanique

JF - Comptes Rendus - Mecanique

IS - 8

ER -

A greedy algorithm for yield surface approximation

Abstract

Keywords

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