Mathematical models of Reissner-Mindlin thermoviscoelastic plates

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