Asymptotic thermoelastic behavior of flat plates

Asymptotic Thermoelastic Behavior of Flat Plates 647

Introduction. The derivation of the mechanical behavior of a flat plate as the limit behavior of a three-dimensional flat solid whose thickness tends to zero is a well-established theory since the works of Goldenveizer [G] or Ciarlet and Destuynder [CD1], Due attention has been paid to the static response of such plates for various linear or nonlinear mechanical behaviors (Ciarlet-Destuynder [C...

Asymptotic behavior of Structures made of Plates

The aim of this work is to study the asymptotic behavior of a structure made of plates of thickness 2δ when δ→0. This study is carried on within the frame of linear elasticity by using the unfolding method. It is based on several decompositions of the structure displacements and on the passing to the limit in fixed domains. We begin with studying the displacements of a plate. We show that any d...

Stability for thermoelastic plates with two temperatures

We investigate the well-posedness, the exponential stability, or the lack thereof, of thermoelastic systems in materials where, in contrast to classical thermoelastic models for Kirchhoff type plates, two temperatures are involved, related by an elliptic equation. The arising initial boundary value problems for different boundary conditions deal with systems of partial differential equations in...

Polynomial Decay to Thermoelastic Plates with Memory

Boundary Controllability of Thermoelastic Plates via the Free Boundary Conditions

Controllability properties of a partial differential equation (PDE) model describing a thermoelastic plate are studied. The PDE is composed of a Kirchoff plate equation coupled to a heat equation on a bounded domain, with the coupling taking place on the interior and boundary of the domain. The coupling in this PDE is parameterized by α > 0. Boundary control is exerted through the (two) free bo...