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Inelastic Behaviour of Plates and Shells pp 325–343Cite as

Optimum Design of Structures Made of Elastic-Plastic Materials

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Summary

The shape optimum design for elastic-plastic structures loaded by fixed and variable repeated forces is considered. Formulated variational problems with unknown boundaries and partial derivatives are investigated by the methods of distributed parameter control theory. The necessary optimality conditions for unknown boundaries are obtained taking into account load carrying capacity and shakedown constraints. The derived sensitivity analysis formulas are applied to the different problems of elastic-plastic design.

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Author information

Authors and Affiliations

  1. Institute for Problems in Mechanics, USSR Academy of Sciences, Moscow, Russia

    N. V. Banichuk

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  1. N. V. Banichuk
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Editors and Affiliations

  1. Pontifícia Universidade Católica do Rio de Janeiro PUC-RJ, Rua Marquès de Sao Vicente 225, Gávea, Rio de Janeiro, Brazil

    Luiz Bevilacqua , Raúl Feijóo  & Roger Valid ,  & 

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© 1986 Springer, Berlin Heidelberg

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Banichuk, N.V. (1986). Optimum Design of Structures Made of Elastic-Plastic Materials. In: Bevilacqua, L., Feijóo, R., Valid, R. (eds) Inelastic Behaviour of Plates and Shells. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82776-1_16

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  • DOI: https://doi.org/10.1007/978-3-642-82776-1_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82778-5

  • Online ISBN: 978-3-642-82776-1

  • eBook Packages: Springer Book Archive

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