IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v167y2015i1d10.1007_s10957-014-0693-5.html
   My bibliography  Save this article

Stiffness and Strength Optimization of the Anisotropy Distribution for Laminated Structures

Author

Listed:
  • Anita Catapano

    (UMR 7190 - CNRS and Université Paris 6
    Centre de Recherche Public H. Tudor
    I2M, UMR 5295 - CNRS and Université de Bordeaux)

  • Boris Desmorat

    (Sorbonne Universités, UPMC Univ Paris 06, CNRS)

  • Paolo Vannucci

    (LMV, UMR 8100 - CNRS and Université de Versailles et Saint Quentin en Yvelines
    Université Paris-Saclay)

Abstract

In this paper, we deal with the problem of optimizing the anisotropy distribution of a laminated structure in order to maximize, simultaneously, its stiffness and strength. For these two objectives, two functionals are considered: the compliance as a measure of the plate stiffness and a laminate-level failure index as a measure of the strength. To solve this optimization problem we used a two-step hierarchical strategy: in the first step the aim is to find the best distribution of the stiffness and strength anisotropic tensors of an equivalent homogenized plate, while in the second one the objective is to find at least one laminate lay-up satisfying the optimal properties obtained as result of the first step. The polar formalism has been used to represent both the stiffness and strength tensors and allowed us to find analytical solutions to the local minimizations of the two functionals. A test case is finally presented to show the effectiveness of the proposed strategy.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:167:y:2015:i:1:d:10.1007_s10957-014-0693-5
    DOI: 10.1007/s10957-014-0693-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-014-0693-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-014-0693-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Anita Catapano & Marco Montemurro, 2020. "Strength Optimisation of Variable Angle-Tow Composites Through a Laminate-Level Failure Criterion," Journal of Optimization Theory and Applications, Springer, vol. 187(3), pages 683-706, December.
    2. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Enrico Panettieri & Marco Montemurro & Daniele Fanteria & Francesco Coccia, 2020. "Multi-scale Least-Weight Design of a Wing-Box Through a Global/Local Modelling Approach," Journal of Optimization Theory and Applications, Springer, vol. 187(3), pages 776-799, December.
    2. 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.
    3. Giulio Costa & Marco Montemurro & Jérôme Pailhès, 2018. "A General Hybrid Optimization Strategy for Curve Fitting in the Non-uniform Rational Basis Spline Framework," Journal of Optimization Theory and Applications, Springer, vol. 176(1), pages 225-251, January.
    4. Paolo Vannucci, 2013. "The Design of Laminates as a Global Optimization Problem," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 299-323, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:167:y:2015:i:1:d:10.1007_s10957-014-0693-5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.