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 deections. The plate is subjected toa perpendicular force and to a heat source. The parabolic equation for the thermal strain resultantcontains the time derivative of the deection. We formulate a weak solution of the system and verify itsexistence using the penalization method.
@article{315,
title = {A vibrating thermoelastic plate in a contact with an obstacle},
journal = {Tatra Mountains Mathematical Publications},
volume = {58},
year = {2014},
doi = {10.2478/tatra.v63i0.315},
language = {EN},
url = {http://dml.mathdoc.fr/item/315}
}
Bock, Igor; Jarušek, Jiří. A vibrating thermoelastic plate in a contact with an obstacle. Tatra Mountains Mathematical Publications, Tome 58 (2014) . doi : 10.2478/tatra.v63i0.315. http://gdmltest.u-ga.fr/item/315/