On a dynamic contact problem for a thermoelastic plate

0427044 - MÚ 2015 RIV SK eng C - Konferenční příspěvek (zahraniční konf.)
Bock, I. - Jarušek, Jiří
On a dynamic contact problem for a thermoelastic plate.
Proceedings of 9th Workshop on Functional Analysis and its Applications in Mathematical Physics. Bratislava: Slovak University of Technology, 2013 - (Zajac, M.), s. 7-12. ISBN 978-80-227-4030-2.
[Workshop on Functional Analysis and its Applications in Mathematical Physics and Optimal Control/9./. Nemecká (SK), 09.09.2013-14.09.2013]
Grant CEP: GA ČR(CZ) GAP201/12/0671
Institucionální podpora: RVO:67985840
Klíčová slova: thermoelastic plate
Kód oboru RIV: BA - Obecná matematika

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 change of the temperature 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/11104/0232660