Existence of solutions to a dynamic contact problem for a thermoelastic von Kármán plate
نویسندگان
چکیده
We study a dynamic contact problem for a thermoelastic von Kármán 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 a 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.
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