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Bifurcations in contact problems with Coulomb friction

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    0471100 - ÚGN 2018 CZ eng K - Conference Paper (Czech conference)
    Ligurský, Tomáš - Renard, Y.
    Bifurcations in contact problems with Coulomb friction.
    SNA´17 - Seminar on Numerical Analysis. Ostrava: Ústav geoniky AV ČR, 2017 - (Blaheta, R.; Starý, J.), s. 63-66. ISBN 978-80-86407-64-7.
    [SNA ’17. Seminar on Numerical Analysis. Ostrava (CZ), 30.01.2017-03.02.2017]
    R&D Projects: GA MŠMT LQ1602
    Institutional support: RVO:68145535
    Keywords : bifurcation * contact problem * Coulomb friction
    OECD category: Applied mathematics
    http://www.ugn.cas.cz/actually/event/2017/sna/sna-sbornik.pdf

    To explore the bifurcation in this contact problem, we have taken uniform meshes with 4096, 16384, 65536 and 262144 triangles. We shall show that the bifurcation behaviour is more complex here. Branches 1 and 4 approach one another for finer meshes, and they disappear both for the finest mesh. Nevertheless, regarding the branching of the corresponding contact problem with forces h = (h1,h2) over the plane h1-h2, one can find it stable and convergent, again.

    Permanent Link: http://hdl.handle.net/11104/0268553

     
     
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