Abstract
The minimum volume design problem of elastic perfectly plastic finite element structures subjected to a combination of fixed and perfect cyclic loads is studied. The design problem is formulated in such a way that incremental collapse is certainly prevented. The search for the structural design with the required limit behaviour is effected following two different formulations, both developed on the grounds of a statical approach: the first one operates below the elastic shakedown limit and is able to provide a suboptimal design; the second one operates above the elastic shakedown limit and is able to provide the/an optimal design. The Kuhn–Tucker conditions of the two problems provide useful information about the different behaviour of the obtained structures.
An application concludes the paper; the comparison among the designs is effected, pointing out the different behaviour of the obtained structures as well as the required computational effort related to the numerical solutions.
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Giambanco, F., Palizzolo, L. & Caffarelli, A. Computational procedures for plastic shakedown design of structures. Struct Multidisc Optim 28, 317–329 (2004). https://doi.org/10.1007/s00158-004-0402-3
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DOI: https://doi.org/10.1007/s00158-004-0402-3