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.
Mathematical models of thin thermo-viscoelastic plates
GIORGI, Claudio;NASO, MARIA GRAZIA
2000-01-01
Abstract
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.File in questo prodotto:
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