Mathematical models of thin thermoviscoelastic 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.