IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v182y2019i1d10.1007_s10957-019-01533-8.html
   My bibliography  Save this article

A New Variational Approach to Linearization of Traction Problems in Elasticity

Author

Listed:
  • Francesco Maddalena

    (Politecnico di Bari)

  • Danilo Percivale

    (University of Genova)

  • Franco Tomarelli

    (Politecnico di Milano)

Abstract

In a recent paper, we deduced a new energy functional for pure traction problems in elasticity, as the variational limit of nonlinear elastic energy functional related to a material body subject to an equilibrated force field: a kind of Gamma limit with respect to the weak convergence of strains, when a suitable small parameter tends to zero. This functional exhibits a gap that makes it different from the classical linear elasticity functional. Nevertheless, a suitable compatibility condition on the force field ensures coincidence of related minima and minimizers. Here, we show some relevant properties of the new functional and prove stronger convergence of minimizing sequences for suitable choices of nonlinear elastic energies.

Suggested Citation

  • Francesco Maddalena & Danilo Percivale & Franco Tomarelli, 2019. "A New Variational Approach to Linearization of Traction Problems in Elasticity," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 383-403, July.
    • Handle: RePEc:spr:joptap:v:182:y:2019:i:1:d:10.1007_s10957-019-01533-8
    DOI: 10.1007/s10957-019-01533-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-019-01533-8
    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/s10957-019-01533-8?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. Danilo Percivale & Franco Tomarelli, 2009. "Plastic Hinges in a Beam," Springer Optimization and Its Applications, in: Variational Analysis and Aerospace Engineering, chapter 0, pages 343-348, Springer.
    Full references (including those not matched with items on IDEAS)

    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.

      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:182:y:2019:i:1:d:10.1007_s10957-019-01533-8. 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.