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A vibrating thermoelastic plate in a contact with an obstacle

  1. 1.
    0449361 - MU-W 2016 RIV SK eng J - Článek v odborném periodiku
    Bock, I. - Jarušek, Jiří
    A vibrating thermoelastic plate in a contact with an obstacle.
    Tatra Mountains Mathematical Publications. Roč. 63, č. 1 (2015), s. 39-52. ISSN 1210-3195
    Grant CEP: GA ČR(CZ) GAP201/12/0671
    Institucionální podpora: RVO:67985840
    Klíčová slova: thermoelastic plate * unilateral dynamic contact * rigid obstacle
    Kód oboru RIV: BA - Obecná matematika
    http://tatra.mat.savba.sk/paper.php?id_paper=1244

    We deal with a dynamic contact problem for a thermoelastic plate vibrating against a rigid obstacle. Dynamics is described by a hyperbolic variational inequality for deflections. The plate is subjected to a perpendicular force and to a heat source. The parabolic equation for the thermal strain resultant contains the time derivative of the deflection. We formulate a weak solution of the system and verify its existence using the penalization method.
    Trvalý link: http://hdl.handle.net/11104/0250932
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