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ON THE BEHAVIOR OF STEADY TIME-HARMONIC OSCILLATIONS IN THERMOELASTIC MATERIALS WITH VOIDS

We study the spatial behavior in a cylinder made of an isotropic and homogeneous thermoelastic material with voids when it is subjected to plane boundary data varying harmonically in time on its lateral surface and on one of the bases. For oscillations with an angular frequency lower than a critical frequency, we show that some appropriate measures associated with the amplitude of the vibration decays exponentially with the distance to the bases.