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Optimal Plastic Design of Plates, Shells and Shellgrids

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Book cover Inelastic Behaviour of Plates and Shells

Summary

In this paper, recent work on the optimal plastic design of plates, shells and shellgrids is reviewed critically and certain important conclusions are arrived at. Of particular significance is the finding that the minimum weight design of solid plates and shells with a maximum thickness constraint contains a theoretically infinite number of rib-like formations. At relatively low load intensities, the layout of such ribs is furnished by the classical optimal grillage theory but at higher load levels a more advanced formulation is necessary. The latter has also been extended from optimal plastic design to optimal elastic design with stress, compliance and deflection constraints and this extended theory has been applied to plates. Moreover, it is shown that ribs in the solution can be suppressed by introducing additional geometrical constraints (termed “Niordson-constraints”) or segmentation.

The above developments are based on a general theory of optimal layouts. which was developed by Professor W. Prager (Brown University) and the first author in the late seventies. A further application of this theory concerns grid-shells (arch-grids) and membrane shells for which a large number of closed-form solutions are now available.

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Authors and Affiliations

  1. FB 10 Universität Essen, 4300, Essen 1, Fed. Rep. of Germany

    G. I. N. Rozvany

  2. Dept. of Civil Engrg., Monash University, Clayton, Victoria, Australia

    G. I. N. Rozvany & T. G. Ong

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  1. G. I. N. Rozvany
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  2. T. G. Ong
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  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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Rozvany, G.I.N., Ong, T.G. (1986). Optimal Plastic Design of Plates, Shells and Shellgrids. 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_18

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  • DOI: https://doi.org/10.1007/978-3-642-82776-1_18

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  • Print ISBN: 978-3-642-82778-5

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