Reflection at the free surface of piezoelectric thermo-microstretch viscoelastic medium without energy dissipation

Abstract

The present paper is aimed to model and study the characteristics of various reflected waves in a homogeneous isotropic piezoelectric thermo-microstretch viscoelastic solid within the context of theory of thermoelasticity without energy dissipation. It is shown that there exists three sets of coupled longitudinal and two sets of coupled transverse waves with different speeds in a two-dimensional model of the solid. The speeds of all the existing waves are found to be complex valued and frequency dependent. The speeds of coupled longitudinal waves are found to be influenced by the electric effect, while the speeds of transverse waves remain unaffected to the electric effects. Reflection coefficients and energy ratios of various reflected waves are presented when (1) a set of coupled longitudinal waves is made incident and (2) a set of coupled transverse waves is made incident. The numerical computations have been carried out to calculate the phase speeds, reflection coefficients and energy ratios with the help of Matlab programming for aluminum-epoxy like material. The numerical values of the modulus of reflection coefficients and phase speeds are presented graphically to exhibit the viscous effects. The energy ratios as functions of angle of incidence are also shown graphically. Some particular cases of interest have been inferred from the present study.