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A Variational Formulation of the Optimal Plastic Design Problem with Linear and Convex Cost Function

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Optimization in Structural Design

Abstract

This paper is concerned with some aspects of the problem of optimization (optimum plastic design) of perfectly-plastic structures for prescribed layouts, geometric boundary conditions and loads. For the sake of simplicity, only the bending structures (beams or plates) are considered, but the remarks formulated are applicable for a larger class of structures.

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References

  1. Saechi, G.: Formulation variationelle du poids minimal des structures. J. de Mécanique 10, 5–11 (1971).

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  3. Save, M. A.: A Unified Formulation of the Theory of Optimal Plastic Design with Convex Cost Function. J. Structural Mech. 1, 267–276 (1972).

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© 1975 Springer-Verlag, Berlin/Heidelberg

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Sacchi, G. (1975). A Variational Formulation of the Optimal Plastic Design Problem with Linear and Convex Cost Function. In: Sawczuk, A., Mróz, Z. (eds) Optimization in Structural Design. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80895-1_9

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  • DOI: https://doi.org/10.1007/978-3-642-80895-1_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-80897-5

  • Online ISBN: 978-3-642-80895-1

  • eBook Packages: Springer Book Archive

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