Incident fast and slow wave at the surface of porous micropolar thermoelastic half-space

Abstract

The propagation of plane elastic waves in the porous micropolar thermoelastic medium have been investigated on considering the interaction of wryness tensor and porous distribution. The basic equations of motion are treated to get four coupled fast (i.e. longitudinal) waves and two coupled slow (i.e. shear) waves with their corresponding wavenumbers. The plane waves has been considered to be incident at the impedance boundary surface of porous micropolar thermoelastic half-space considering the cross term between wryness and porous distribution. Using dispersion relation, the nature of dispersive waves after striking the impedance boundary and stress free boundary surface were investigated and formulated to compute the reflection coefficients (i.e. amplitude ratio and energy ratios) of different reflected waves. For particular model, the wavenumbers of the propagated waves and the reflection coefficients of incident coupled fast and slow waves are calculated numerically.