Second-order cone programming approaches to static shakedown analysis in steel plasticity

被引：57

作者：

Bisbos, CD ^{[1
]}

Makrodimopoulos, A

Pardalos, PM

机构：

[1] Aristotle Univ Thessaloniki, Dept Civil Engn, Inst Steel Struct, GR-54124 Thessaloniki, Greece

[2] Univ Oxford, Dept Engn Sci, Oxford OX1 3PJ, England

[3] Univ Florida, Dept Ind & Syst Engn, Ctr Appl Optimizat, Gainesville, FL 32611 USA

来源：

OPTIMIZATION METHODS & SOFTWARE | 2005年 / 20卷 / 01期

关键词：

shakedown; plasticity; second-order cone programming; large sparse optimization; FEM;

D O I：

10.1080/1055678042000216003

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The finite element method discretized static shakedown analysis of steel constructions leads to large, sparse convex optimization problems. Under the von Mises yield criterion, they lead to second-order cone programming problems, for which the most appropriate techniques are Interior Point Methods. Various approaches exploiting the specific characteristics of the shakedown problems are presented and discussed.

引用

页码：25 / 52

页数：28

共 64 条

[1] Second-order cone programming
Alizadeh, F
Goldfarb, D
[J]. MATHEMATICAL PROGRAMMING, 2003, 95 (01) : 3 - 51
[2] On implementing a primal-dual interior-point method for conic quadratic optimization
Andersen, ED
Roos, C
Terlaky, T
[J]. MATHEMATICAL PROGRAMMING, 2003, 95 (02) : 249 - 277
[3] LIMIT ANALYSIS WITH THE DUAL AFFINE SCALING ALGORITHM
ANDERSEN, KD
CHRISTIANSEN, E
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 59 (02) : 233 - 243
[4] Computing limit loads by minimizing a sum of norms
Andersen, KD
Christiansen, E
Overton, ML
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1998, 19 (03) : 1046 - 1062
[5] [Anonymous], 2000, EUR J MECH ASOLIDS
[6] [Anonymous], 2000, SOLID MECH ITS APPL
[7] [Anonymous], 1997, PLASTIC LIMIT ANAL P
[8] Ben-Tal A, 2001, Lectures on modern convex optimization: analysis, algorithms, and engineering applications, V2
[9] Borges LA, 1996, EUR J MECH A-SOLID, V15, P487
[10] Capsoni A, 1997, INT J NUMER METH ENG, V40, P2063, DOI 10.1002/(SICI)1097-0207(19970615)40:11<2063::AID-NME159>3.0.CO

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