A primal–dual algorithm for shakedown analysis of structures. (English) Zbl 1112.74546

Summary: 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.


74S05 Finite element methods applied to problems in solid mechanics
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74P10 Optimization of other properties in solid mechanics
Full Text: DOI


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