THE TRANSMISSION PROBLEM FOR THERMOELASTIC BEAMS

We study the transmission problem for a partially thermoelastic beam, that is, a beam that is composed of two components. One of them is thermoelastic and the other is not sensitive to the difference of temperature; the thermoelastic part of the beam is small. Our objective is to show that thermoelastic dissipation over part of the material, no matter how small this part, is sufficient to stabilize, in time, the whole beam.