Interior-point algorithm for shakedown analysis accounting for limited kinematical hardening
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We present a numerical method for the computation of shakedown loads of structures under thermo-mechanical loading accounting for limited kinematical hardening. The method is based on the lower bound approach by Melan extended to the hardening using a two-surface model. Both the yield and the bounding surface are deﬁned by the von Mises condition. Melan’s shakedown theorem leads to a nonlinear convex optimization problem. This is solved by the interior-point algorithm ipsa recently developed by the authors. In this paper, theoretical and numerical aspects will be presented as well as numerical examples from mechanical engineering.
CitationSimon, J.; Weichert, D. Interior-point algorithm for shakedown analysis accounting for limited kinematical hardening. A: COMPLAS XI. "COMPLAS XI : proceedings of the XI International Conference on Computational Plasticity : fundamentals and applications". CIMNE, 2011, p. 1415-1426.