STEADY TIME-HARMONIC OSCILLATIONS IN A LINEAR THERMOELASTIC PLATE MODEL

Citation
P. Schiavone et Rj. Tait, STEADY TIME-HARMONIC OSCILLATIONS IN A LINEAR THERMOELASTIC PLATE MODEL, Quarterly of applied mathematics, 53(2), 1995, pp. 215-223
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0033569X
Volume
53
Issue
2
Year of publication
1995
Pages
215 - 223
Database
ISI
SICI code
0033-569X(1995)53:2<215:STOIAL>2.0.ZU;2-V
Abstract
We examine the bending of a Mindlin-type thermoelastic plate when the source terms are time-harmonic with angular frequency omega, and suffi cient 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 t he sum of five waves all but one of which exhibit damping, By formulat ing appropriate radiation conditions we prove uniqueness results for e xterior boundary value problems subject to certain regularity assumpti ons and a condition on the angular frequency of oscillation.