The goal of the paper is to analyse properties of solutions for linear thermoelastic systems of type III in one space variable. Our approach does not use energy methods, it bases on a special diagonalization procedure which is di erent in di erent parts of the phase space. This procedure allows to d
On the harmonic vibrations in linear theory of thermoelasticity of type III
✍ Scribed by S. Chiriţă
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 253 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0093-6413
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✦ Synopsis
In the present paper we consider the linear theory of thermoelasticity of type III as developed by Green and Naghdi (1992, 1995). Within the context of the harmonic vibrations, we establish some estimates describing the spatial behavior of the corresponding amplitudes, provided the frequency is lower than a certain critical value. It is shown that such critical frequency is influenced only by the mechanical effects. Extension of results to the strongly elliptic thermoelastic materials is also discussed.
📜 SIMILAR VOLUMES
In the context of the linear theory of thermoelasticity without energy dissipation for homogeneous and isotropic materials, the uniqueness of solution of a natural initial, mixed boundary value problem is proved. The proof depends on an equation of energy balance formulated entirely in terms of temp