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Design Problems of Anisotropic Structures: Some Recent Results

In: Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design

Author

Listed:
  • 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)

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.

Suggested Citation

  • Paolo Vannucci & Boris Desmorat & Angela Vincenti, 2012. "Design Problems of Anisotropic Structures: Some Recent Results," Springer Optimization and Its Applications, in: Giuseppe Buttazzo & Aldo Frediani (ed.), Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design, edition 127, pages 395-426, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-2435-2_17
    DOI: 10.1007/978-1-4614-2435-2_17
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