Mathematical models of thin thermo-viscoelastic plates

In this paper we investigate mathematical models
of a thin homogeneous thermoviscoelastic plate subject to
thermal deformations.
A non--Fourier constitutive law for the heat flux and some heat power
constitutive equation with linear memory are
considered here. The resulting models are derived in the framework of the
well--established theory of heat flow with memory due to Gurtin and
Pipkin and according to the standard approximation procedure for the
Kirchhoff plate.