Spatial behaviour in a Mindlin-type thermoelastic plate

The Transmission Problem to Thermoelastic Plate of Hyperbolic Type

In this paper we consider the thermoelastic plate equation with localized thermal dissipation of memory type, proposed by Gurtin and Pipkin [3]. We will show that the solution of the corresponding model decays exponentially as time goes to infinity, provided the relaxation function decays exponentially. The mean difference with others thermoelastic system is that the whole system is of hyperbol...

On Stability of Hyperbolic Thermoelastic Reissner-Mindlin-Timoshenko Plates

In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo’s law. In the absense of any additional mechanical dissipations, the system is often not even strongly stable unless restricted to the rotationally symmetric case, etc. We present a well-posedness result for the linear problem under general mixe...

Null Controllability of a Thermoelastic Plate

In this paper, we investigate the null controllability of thermoelastic plates when the control (heat source) acts in the thermal equation. In general, these models consist of an elastic motion equation and a heat equation, which are coupled in such a way that the energy transfer between them is taken into account. The plate, we consider here, is derived in the light of [18]. Transverse shear e...

Finite Elements for the Reissner-Mindlin Plate

Thermoelastic waves in an anisotropic infinite plate

An analysis of the propogation of thermoelastic waves in a homogeneous, anisotropic, thermally conducting plate has been presented in the context of the generalized Lord-Shulman theory of thermoelasticity. Three different methods are used in this analysis: two of them are exact and the third is a semianalytic finite element method (SAFE). In our exact analysis, two different approaches are used...