A primal-dual algorithm for shakedown analysis of structures

被引:65
|
作者
Vu, DK [1 ]
Yan, AM [1 ]
Nguyen-Dang, H [1 ]
机构
[1] Univ Liege, Div ASMA Fracture Mech, B-4000 Cointe Ougree, Belgium
关键词
shakedown analysis; limit analysis; duality; optimization;
D O I
10.1016/j.cma.2004.03.011
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The paper describes a primal-dual algorithm for shakedown analysis of structures with the use of kinematically admissible finite elements. Starting from Koiter kinematic theorem, a primal-dual optimization condition is established by adopting static terms as complementary variables. Newton-like iterations are performed to give both upper and quasi-lower bounds of the load factor that converge rapidly to the accurate solution of shakedown limit. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:4663 / 4674
页数:12
相关论文
共 50 条
  • [11] A primal-dual approximation algorithm for MINSAT
    Arif, Umair
    Benkoczi, Robert
    Gaur, Daya Ram
    Krishnamurti, Ramesh
    DISCRETE APPLIED MATHEMATICS, 2022, 319 : 372 - 381
  • [12] A PRIMAL-DUAL PROJECTION ALGORITHM FOR EFFICIENT
    Schiela, Anton
    Stoecklein, Matthias
    Weiser, Martin
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 43 (06): : A4095 - A4120
  • [13] A fully stochastic primal-dual algorithm
    Pascal Bianchi
    Walid Hachem
    Adil Salim
    Optimization Letters, 2021, 15 : 701 - 710
  • [14] Image reconstruction with a primal-dual algorithm
    Shi, Chen
    Pan, Hui
    Abdalah, Mahmoud
    Boutchko, Rostyslav
    Mitra, Debasis
    Gullberg, Grant
    JOURNAL OF NUCLEAR MEDICINE, 2014, 55
  • [15] A primal-dual algorithm for risk minimization
    Kouri, Drew P.
    Surowiec, Thomas M.
    MATHEMATICAL PROGRAMMING, 2022, 193 (01) : 337 - 363
  • [16] A Primal-Dual Algorithm for Distributed Optimization
    Bianchi, P.
    Hachem, W.
    2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 4240 - 4245
  • [17] A fully stochastic primal-dual algorithm
    Bianchi, Pascal
    Hachem, Walid
    Salim, Adil
    OPTIMIZATION LETTERS, 2021, 15 (02) : 701 - 710
  • [18] PDGA: the Primal-Dual Genetic Algorithm
    Yang, SX
    DESIGN AND APPLICATION OF HYBRID INTELLIGENT SYSTEMS, 2003, 104 : 214 - 223
  • [19] New convergence analysis of a primal-dual algorithm with large stepsizes
    Li, Zhi
    Yan, Ming
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021, 47 (01)
  • [20] Analysis of linear structured systems using a primal-dual algorithm
    Hovelaque, V
    Commault, C
    Dion, JM
    SYSTEMS & CONTROL LETTERS, 1996, 27 (02) : 73 - 85