Mathematical Models of Reissner–Mindlin Thermoviscoelastic Plates

Abstract

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.

Keywords:

• Materials with memory
• Plate
• Thermal effects

Notes

Communicated by Liviu Librescu on November 9, 2005.