IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v67y2005i6p559-580.html
   My bibliography  Save this article

Reliable solution of an unilateral contact problem with friction and uncertain data in thermo-elasticity

Author

Listed:
  • Hlaváček, I.
  • Nedoma, J.

Abstract

An unilateral contact problem with friction and with uncertain input data in quasi-coupled thermo-elasticity is analysed. As uncertain data coefficients of stress–strain law, coefficients of thermal conductivity, body and surface forces, thermal sources and friction coefficients are assumed, being prescribed in a given set of admissible functions. Method of worst scenario is applied to find the most “dangerous” admissible input data. Stability of the solution with respect to the data is proved and employed for the proof of existence of a solution to the worst scenario problems. Some models in geomechanics, geodynamics and mechanics as well as in technology are stated and the safety of the high level radioactive waste repositories is considered.

Suggested Citation

  • Hlaváček, I. & Nedoma, J., 2005. "Reliable solution of an unilateral contact problem with friction and uncertain data in thermo-elasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 67(6), pages 559-580.
  • Handle: RePEc:eee:matcom:v:67:y:2005:i:6:p:559-580
    DOI: 10.1016/j.matcom.2004.08.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475404002538
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2004.08.001?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. Hlaváček, Ivan & Nedoma, Jiřı́, 2002. "On a solution of a generalized semi-coercive contact problem in thermo-elasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 60(1), pages 1-17.
    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.
    1. Hliňáková, P. & Dostálová, T. & Daněk, J. & Nedoma, J. & Hlaváček, I., 2010. "Temporomandibular joint and its two-dimensional and three-dimensional modelling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1256-1268.
    2. Daněk, J. & Hlaváček, I. & Nedoma, J., 2005. "Domain decomposition for generalized unilateral semi-coercive contact problem with given friction in elasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(3), pages 271-300.

    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:eee:matcom:v:67:y:2005:i:6:p:559-580. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.