Plane waves in temperature dependent hygrothermoelastic medium under the influence of gravity—Analytical and numerical approach

Abstract

AbstractThe present research article deals with the study of surface wave propagation in a temperature rate‐dependent hygrothermoelastic medium under the influence of gravity. The coupled wave equations in terms of displacement, temperature, and moisture concentration are solved analytically. The values of propagation phase velocity and attenuation quality factor for different waves have been obtained and depicted graphically against frequency. The effect of the gravity field and the dependence of temperature on the quantities are presented graphically. The coupled and independent wave equations obtained, are solved analytically and numerically to obtain the values of propagation phase velocities. The graphical results of propagation phase velocity and attenuation quality factor are compared for analytical and numerical results.