Inhomogeneous waves in porous piezo-thermoelastic solids

A mathematical model for taking into consideration the interaction of mechanical, thermal and electrical dynamics in an anisotropic porous piezo-thermoelastic (APPT) medium is presented. Basic equations for APPT are derived. The three-dimensional problem of wave propagation is studied which explains the existence and propagation of six waves in the considered medium. The phase velocities and attenuation factors for each of the six attenuated waves are determined in terms of complex slowness vectors. The particular results are obtained for triclinic, monoclinic and orthotropic types of crystal symmetries. The effects of piezoelectricity, thermoelasticity, frequency, and porosity on the wave propagation phenomenon are analyzed.