Thermodynamic effects of torsional surface waves in heterogeneous and homogeneous elastic semi-infinite substratum

Abstract

The prime goal of the study is to investigate the relevance of torsional surface wave propagation in a thermally conducting heterogeneous (functionally graded) semi-infinite medium. The closed form of the dispersion equation for the propagation of torsional waves in heterogeneous elastic media has been established by assuming equations of motion in the temperature field with proper boundary conditions. One particular case where torsional vibration generates wave propagation in homogeneous materials has been addressed, and therefore, dispersion equation has been developed. The phase velocity and attenuation coefficient in both homogeneous and heterogeneous half-space have been computed to demonstrate the wave properties. In order to investigate the functionally graded parameter associated with the elastic medium, the effects of heat flow components related to thermodynamic forces, and the coupling coefficient related to the deformation and temperature fields, numerical calculations with graphical interpretation have been performed separately for phase velocity and attenuation coefficient.