Polynomial decay to thermoelastic plates with memory

Polynomial Decay to Thermoelastic Plates with Memory

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...

Thermoelastic Relaxation in Elastic Structures, with Applications to Thin Plates

A new result enables direct calculation of thermoelastic damping in vibrating elastic solids. The mechanism for energy loss is thermal diffusion caused by inhomogeneous deformation, flexure in thin plates. The general result is combined with the Kirchhoff assumption to obtain a new equation for the flexural vibration of thin plates incorporating thermoelastic loss as a damping term. The thermal...

Explicit Exponential Decay Rates for Solutions of Von K Arm An's System of Thermoelastic Plates

{ We consider the von KK armm an system for a bounded smooth ther-moelastic plate clamped on its boundary. We prove explicit exponential decay rates showing that the energy of solutions corresponding to initial data of energy equal to R decays as t ! 1 like exp (?!t=(1 + R 2)) for some universal positive constant !. A energia total E(t) decai como exp (?!t=(1 + R 2)) quando t vai para +1 sendo ...

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...