Design Problems of Anisotropic Structures: Some Recent Results

Paolo Vannucci (), Boris Desmorat () and Angela Vincenti ()
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Paolo Vannucci: Université Versailles Saint Quentin, UMR7190, Université Paris 6 – CNRS, 4
Boris Desmorat: Université Paris Sud, UMR7190, Université Paris 6 – CNRS, 4
Angela Vincenti: UMR7190, Université Paris 6 – CNRS, 4

A chapter in Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design, 2012, pp 395-426 from Springer

Abstract: Abstract We show in this paper a general procedure to tackle the problem of designing anisotropic laminates corresponding to given criteria and optimizing a given objective function. The method is based, on one side, on the use of tensor invariants for the description of the anisotropic properties and, on the other side, on a free-material approach for the determination, first, of the optimal fields of anisotropic properties and, then, using numerical metaheuristics, of a suitable stacking sequence. Some general results concerning the method are introduced, along with a discussion of the influence of anisotropy on the optimal design of laminates. Some different problems are dealt with for showing the effectiveness of the approach.

Keywords: Particle Swarm Optimization; Topology Optimization; Polar Parameter; Polar Formalism; Elementary Layer (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-2435-2_17

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DOI: 10.1007/978-1-4614-2435-2_17

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