Computational procedures for plastic shakedown design of structures

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Abstract

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.
Original languageEnglish
Pages (from-to)317-329
Number of pages13
JournalStructural and Multidisciplinary Optimization
Volume28
Publication statusPublished - 2004

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization

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