The minimum volume design problem of elasticperfectly 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 operatesabove 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 numericalsolutions.
|Numero di pagine||13|
|Rivista||Structural and Multidisciplinary Optimization|
|Stato di pubblicazione||Published - 2004|
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