Reflection at the Free Surface of Generalized Thermoelastic Medium with Voids Under Three Phase Lag Effect

Abstract

In this paper, propagation of plane waves in an isotropic, homogeneous, generalized magneto-thermo-viscoelastic semi-infinite medium (having stress-free insulated boundary) containing a distribution of vacuous pores (voids) has been investigated. Basic governing equations are based on the linear theory of thermoelasticity, namely, three-phase-lag (3PL) thermoelasticity to account for finite velocity of the temperature. It is found that three compressional waves and a shear vertical (SV) wave can exist in the medium adopted. Reflection phenomena of compressional and shear waves from the free surface of the medium is considered. The formulae for reflection coefficients of various reflected waves have been obtained in the closed form. The numerical values of the modulus of reflection coefficients are presented graphically.