Effects of rotation and thermoelastic/pyroelectric couplings on the dispersion of acoustic surface waves in a piezothermoelastic half-space

摘要

In this paper, the study of the effects of rotation and thermoelastic and pyroelectric couplingsrnon the dispersion of the Rayleigh waves being propagated on the surface of a thermopiezoelastic half-space, isrnpresented. The equations of motion including Coriolis and centrifugal accelerations, the equations constitutivernof the linear thermopiezoelectricity, and the equation of the temperature are formulated. The surface of the halfrnspace is considered free in mechanical loads, electrically electroded or free of charges, thermically isolated, andrnin rotation around the three symmetrical axes of material. The half space is cut according to a normal plan withrnx2-axis. The secular equations of dispersion and the boundary conditions relations in the cases of the absencernand the presence of rotation and in both cases of electric conditions, are explicitly derived. By using an iterativernmethod based on the technique, we solve the systems of the nonlinear equations resulting from the secularrnequations and those of the boundary conditions. The curves of dispersion according to rotation/frequency raternand the surrounding temperature are traced and commented.