Steady time-harmonic oscillations in a linear thermoelastic plate model
Peter Schiavone, Robert J. Tait · Quarterly of Applied Mathematics · 1995
We examine the bending of a Mindlin-type thermoelastic plate when the source terms are time-harmonic with angular frequency ω \omega , and sufficient time has elapsed for the system to have reached a steady-state. We show that in an infinite plate the solution can be represented as the sum of five waves all but one of which exhibit damping. By formulating appropriate radiation conditions we prove uniqueness results for exterior boundary value problems subject to certain regularity assumptions and a condition on the angular frequency of oscillation.