Table of Contents
ISRN Applied Mathematics
Volume 2011 (2011), Article ID 803562, 16 pages
http://dx.doi.org/10.5402/2011/803562
Research Article

Numerical Study of Characteristic Equations of Thermoelastic Waves Propagating in a Uniaxial Prestressed Isotropic Plate

Department of Mechanical Engineering, National Chiao Tung University, Hsinchu 30010, Taiwan

Received 19 April 2011; Accepted 15 May 2011

Academic Editors: L.-Y. Li and M. Tabata

Copyright © 2011 Shih-Ming Hsu and Ching-Chung Yin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Thermoelastic waves propagating in an isotropic thin plate exerted by a uniaxial tensile stress are represented in this work. Characteristic equation of guided thermoelastic waves is formulated based on the theory of acoustoelasticity and classical thermoelasticity. Curve-tracing method for complex root finding is used to determine the attenuation, which is the imaginary part of the complex-value wavenumber. It is found that each plate mode of thermoelastic wave propagating in an isotropic plate with or without prestress has a minimum attenuation at a specific frequency except the A0 mode. These modes are called the Lamé modes, which are the volume resonances in the thickness direction and propagate along the plate with the least energy dissipation. Frequency spectra of the phase velocity dispersion and attenuation of thermoelastic waves propagating along various orientations in the uniaxial prestressed thin plate have further been discussed.