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Anisotropy and Shape Optimal Design of Shells by the Polar–Isogeometric Approach

Author

Listed:
  • Dossou Felix Kpadonou

    (Université de Versailles)

  • Christian Fourcade

    (Renault SAS)

  • Paul Nazelle

    (Institut de Recherche Technologique SystemX)

  • Paolo Vannucci

    (Université de Versailles)

Abstract

We focus in this paper on the simultaneous shape and material optimal design of shells by an isogeometric-like approach of a new kind, in which geometry and material properties of the structure are defined by spline functions and the design variables are the polar parameters at the control points. Different kinds of constraints on the regularity, the admissibility of the elastic moduli etc, are taken into account and some numerical examples, proving the effectiveness of the approach, are given.

Suggested Citation

  • Dossou Felix Kpadonou & Christian Fourcade & Paul Nazelle & Paolo Vannucci, 2020. "Anisotropy and Shape Optimal Design of Shells by the Polar–Isogeometric Approach," Journal of Optimization Theory and Applications, Springer, vol. 184(1), pages 61-97, January.
    • Handle: RePEc:spr:joptap:v:184:y:2020:i:1:d:10.1007_s10957-018-1425-z
    DOI: 10.1007/s10957-018-1425-z
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    References listed on IDEAS

    as
    1. Marco Montemurro & Anita Catapano, 2016. "A New Paradigm for the Optimum Design of Variable Angle Tow Laminates," Springer Optimization and Its Applications, in: Aldo Frediani & Bijan Mohammadi & Olivier Pironneau & Vittorio Cipolla (ed.), Variational Analysis and Aerospace Engineering, pages 375-400, Springer.
    2. Anita Catapano & Boris Desmorat & Paolo Vannucci, 2015. "Stiffness and Strength Optimization of the Anisotropy Distribution for Laminated Structures," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 118-146, October.
    3. Marco Montemurro & Angela Vincenti & Paolo Vannucci, 2012. "A Two-Level Procedure for the Global Optimum Design of Composite Modular Structures—Application to the Design of an Aircraft Wing," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 24-53, October.
    4. Marco Montemurro & Angela Vincenti & Paolo Vannucci, 2012. "A Two-Level Procedure for the Global Optimum Design of Composite Modular Structures—Application to the Design of an Aircraft Wing," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 1-23, October.
    5. Vannucci, Paolo, 2015. "A note on the computation of the extrema of Young’s modulus for hexagonal materials: An approach by planar tensor invariants," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 124-129.
    Full references (including those not matched with items on IDEAS)

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