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RESEARCH PRODUCT
Computational procedures for plastic shakedown design of structures
A. CaffarelliFrancesco GiambancoLuigi Palizzolosubject
elastic plastic behaviourOptimal designControl and OptimizationComputer sciencebusiness.industryStructural engineeringshakedown designComputer Graphics and Computer-Aided DesignFinite element methodComputer Science ApplicationsShakedownelastic shakedown limitControl and Systems EngineeringBree diagramLimit (mathematics)Engineering design processbusinessoptimizationSoftwaredescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-08-04 | Structural and Multidisciplinary Optimization |