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Design Problems of Anisotropic Structures: Some Recent Results

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Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 66))

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.

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Author information

Authors and Affiliations

  1. Institut Jean Le Rond d’Alembert, Université Versailles Saint Quentin, UMR7190, Université Paris 6 – CNRS, 4, Place Jussieu, Case 162, 75252, Paris, France

    Paolo Vannucci

  2. Institut Jean Le Rond d’Alembert, Université Paris Sud, UMR7190, Université Paris 6 – CNRS, 4, Place Jussieu, Case 162, 75252, Paris, France

    Boris Desmorat

  3. Institut Jean Le Rond d’Alembert, UMR7190, Université Paris 6 – CNRS, 4, Place Jussieu, Case 162, 75252, Paris, France

    Angela Vincenti

Authors
  1. Paolo Vannucci
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  2. Boris Desmorat
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  3. Angela Vincenti
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Corresponding author

Correspondence to Paolo Vannucci .

Editor information

Editors and Affiliations

  1. , Dept. of Mathematics "L. Tonelli", University of Pisa, Largo Bruno Pontecorvo 5, Pisa, 56127, Italy

    Giuseppe Buttazzo

  2. , Dept. of Aerospace Engineering, University of Pisa, Via G. Caruso 8, Pisa, 56122, Italy

    Aldo Frediani

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Vannucci, P., Desmorat, B., Vincenti, A. (2012). Design Problems of Anisotropic Structures: Some Recent Results. In: Buttazzo, G., Frediani, A. (eds) Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design. Springer Optimization and Its Applications(), vol 66. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2435-2_17

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