SPATIAL DECAY-ESTIMATES OF SAINT-VENANT TYPE IN GENERALIZED THERMOELASTICITY

Decay estimates of Saint-Venant type are established within the contex t of dynamic generalized thermoelasticity. A thermoelastic body is def ormed under null body loads and initial conditions and subject to non- zero boundary data only on a plane end. The behaviour is studied for t he total energy stored in that part of the body beyond a distance z fr om the basis. An estimate is established that describes the spatial de cay of end effects. When the harmonically vibrations of a right cylind er are considered, it is shown that an exponential decay of activity h olds away from the excited end provided that the exciting frequency is less than a certain critical frequency.