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Duality Applied to the Optimal Design in Elasticity

In: Functional Analysis and Applied Optimization in Banach Spaces

Author

Listed:
  • Fabio Botelho

    (Federal University of Pelotas, Department of Mathematics and Statistics)

  • Alexandre Molter

    (Federal University of Pelotas, Department of Mathematics and Statistics)

Abstract

The first part of chapter 20 develops a dual variational formulation for the optimal design of a plate of variable thickness. The design variable, namely the plate thickness, is supposed to minimize the plate deformation work due to a given external load. The second part is concerned with the optimal design for a two-phase problem in elasticity. In this case, we are looking for the mixture of two constituents that minimizes the structural internal work. In both applications the dual formulations were obtained through basic tools of convex analysis.

Suggested Citation

  • Fabio Botelho & Alexandre Molter, 2014. "Duality Applied to the Optimal Design in Elasticity," Springer Books, in: Functional Analysis and Applied Optimization in Banach Spaces, edition 127, chapter 0, pages 477-491, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-06074-3_20
    DOI: 10.1007/978-3-319-06074-3_20
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