Propagation characteristics of Rayleigh waves in transversely isotropic piezothermoelastic materials

• Published in: Journal of sound and vibration Vol. 284; no. 1; pp. 227 - 248
• Main Authors: Sharma, J.N., Pal, Mohinder, Chand, Dayal
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 01.06.2005; Elsevier
• Subjects: Acoustics; Cadmium; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Half spaces; Mathematical analysis; Mathematical models; Physics; Piezoelectricity; Rayleigh waves; Solid mechanics; Static elasticity (thermoelasticity...); Stresses; Structural and continuum mechanics; Ultrasonics, quantum acoustics, and physical effects of sound; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Wave propagation; Isothermal condition; Electric potential; Stress analysis; Thermoelastic stress; Temperature sensor; Surface wave; Thermomechanical properties; Elastic wave; Half space; Modeling; Cadmium selenides; Wave dispersion; Exact solution; Temperature measurement; Piezoelectric materials; Transverse isotropy; Piezoelectricity; Rayleigh wave; Thermoelasticity; Secular equation; Elastic half space; Electromechanical properties
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2004.06.036

The paper is aimed at to investigate the propagation of Rayleigh waves in a homogeneous, transversely isotropic, piezothermoelastic half-space subjected to stress free, electrically shorted/charge-free and thermally insulated/isothermal boundary conditions. Secular equations for the half-space in closed form and isolated mathematical conditions in completely separate terms are derived. The secular equations for stress free piezoelectric, thermoelastic and elastic half-spaces have also been deduced as special cases from the present analysis. Finally, numerical solution of various secular equations and other relevant relations is carried out for cadmium-selenide (6 mm class) material. The dispersion curves and attenuation coefficients of wave propagation are presented graphically, in order to illustrate and compare the analytical results. The theory and numerical computations are found to be in close agreement. The coupling between the thermal/electric/elastic fields in piezoelectric materials provides a mechanism for sensing thermomechanical disturbances from measurements of induced electric potentials, and for altering structural responses via applied electric fields. Therefore, the analysis will be useful in the design and construction of temperature sensors and surface acoustic wave filter devices.