Generalized Models of the Nonsteady Vibration of a Thermoelastic Layer under a Surface Load

The nonsteady problem of coupled thermoelasticity is solved for a layer filled by a thermoelastic medium of classical, Maxwell–Cattaneo, or Green–Naghdi type. The superposition principle is employed. The Green’s functions are found for all the media. As an example, an initial and boundary value problem is solved. The results for the different models are different.