IDEAS home Printed from https://ideas.repec.org/a/wly/jnlmpe/v2023y2023i1n9960116.html

Rapid Methods for the Resolution of Contact Problems in Static Linear Elasticity

Author

Listed:
  • Laurent Tchoualag
  • Lionel Ouya Ndjansi
  • Jean Louis Woukeng

Abstract

In this paper, the two‐dimensional Signorini static contact problem in linear elasticity is presented. We present the weak formulation of the frictional contact problems, and the boundary integral operators are used to propose a boundary variational formulation whose resolution by the generalized Newton method is presented. Moreover, a particular formulation by the fixed point method associated with the augmented Lagrangian is proposed for efficient analysis of contact problems with Coulomb friction, and powerful algorithms are constructed. The discretization is carried over by using the Galerkin method. The resulting linear system is solved by using a preconditioned conjugate gradient (CG) iterative solver.

Suggested Citation

  • Laurent Tchoualag & Lionel Ouya Ndjansi & Jean Louis Woukeng, 2023. "Rapid Methods for the Resolution of Contact Problems in Static Linear Elasticity," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlmpe:v:2023:y:2023:i:1:n:9960116
    DOI: 10.1155/2023/9960116
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2023/9960116
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/9960116?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
    ---><---

    References listed on IDEAS

    as
    1. Olaf Steinbach, 2008. "Numerical Approximation Methods for Elliptic Boundary Value Problems," Springer Books, Springer, number 978-0-387-68805-3, January.
    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.

      More about this item

      Statistics

      Access and download statistics

      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:wly:jnlmpe:v:2023:y:2023:i:1:n:9960116. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/2629 .

      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.