Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 193, Issue 42-44, Pages 4663-4674Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2004.03.011
Keywords
shakedown analysis; limit analysis; duality; optimization
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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.
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