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On a dynamic contact problem for a thermoelastic plate
- 1.0427044 - MÚ 2015 RIV SK eng C - Conference Paper (international conference)
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]
R&D Projects: GA ČR(CZ) GAP201/12/0671
Institutional support: RVO:67985840
Keywords : thermoelastic plate
Subject RIV: BA - General Mathematics
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.
Permanent Link: http://hdl.handle.net/11104/0232660
Number of the records: 1