Mathematical Models of Reissner-Mindlin Thermoviscoelastic Plates
- Claudio GiorgiAffiliated withUniversità degli Studi di Brescia Email author
- , Maria Grazia NasoAffiliated withUniversità degli Studi di Brescia
We here investigate mathematical models describing deformations and thermal variations of a thin homogeneous thermoviscoelastic plate. First, a hereditary non-Fourier constitutive law for the heat flux and some heat power constitutive equation with linear memory are considered. Then, we adapt to hereditary relations some approximation procedures previously established for thermoelastic plates and due to Lagnese and Lions [5, 6]. The resulting models are derived in the framework of the well-established theory of heat conduction, thanks to Gurtin and Pipkin, and according to the standard approximation procedure for the Reissner-Mindlin plate model.
We consider a homogeneous, (thermally and elastically) isotropic plate of the Mindlin type, subject to thermal deformations and hereditary heat conduction law. We assume that the plate is of uniform thickness ...
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- Mathematical Models of Reissner-Mindlin Thermoviscoelastic Plates
- Reference Work Title
- Encyclopedia of Thermal Stresses
- pp 2899-2907
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- Springer Netherlands
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- Springer Science+Business Media Dordrecht
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