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Direct plastic structural design under random strength and random load by chance constrained programming. (English) Zbl 1478.74014

Summary: A new formulation to calculate shakedown limit load of structures under stochastic conditions of strength and loading is developed. Direct structural reliability design is based on the required failure probabilities by chance constrained programming, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem.

MSC:

74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74E35 Random structure in solid mechanics
74S60 Stochastic and other probabilistic methods applied to problems in solid mechanics
90C15 Stochastic programming
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