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Mathematical models of thin thermoviscoelastic plates
( 1 Dipartimento di Matematica, Universitàdegli Studi di Brescia, Via Valotti 9, I-25133Brescia, Italy )
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.
Received 22 July, 1999. Revised 7 December, 1999.