Duality Applied to the Optimal Design in Elasticity

Fabio Botelho () and Alexandre Molter ()
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Fabio Botelho: Federal University of Pelotas, Department of Mathematics and Statistics
Alexandre Molter: Federal University of Pelotas, Department of Mathematics and Statistics

Chapter Chapter 20 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 477-491 from Springer

Abstract: 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.

Keywords: Dual Application; Dual Variational Formulation; Plate Thickness; Heuristic Equation; Duality Principle (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_20

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DOI: 10.1007/978-3-319-06074-3_20

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