Propagation of plane waves in a nonlocal transversely isotropic thermoelastic medium with voids and rotation

Abstract

The objective of present research work is to investigate the propagation of time harmonic plane waves in a rotating, nonlocal, transversely isotropic thermoelastic half-space having void pores in the context of Lord-Shulman theory. It has been observed that four coupled plane waves travel in such type of medium with distinct speeds. Using appropriate boundary conditions, the amplitude and energy ratios for the reflected waves are presented. Numerical computations for a magnesium crystal-like material are performed with the help of MATLAB software to study the effects of material anisotropy, nonlocal, void and rotation parameters on the amplitude ratios. The computational results are displayed and explained through graphs. The phase velocities of plane waves in transversely isotropic medium are found to depend upon the incident angle, whereas these attain constant values in an isotropic medium. The energy conservation law is also justified during the reflection phenomena.

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

“…Using the linear theory established by Iesan [19], Singh and Tomar [20] investigated the propagation of coupled longitudinal waves reflecting from the free surface boundary of a thermoelastic medium with voids. Other significant dynamical problems in thermoelastic media with voids are addressed in research publications by Kumar and Kumar [21], Bachher et al [22], Bachher and Sarkar [23], Poonia et al [24] among others.…”

“…Other significant dynamical problems in thermoelastic media with voids are addressed in research publications by Kumar and Kumar [21], Bachher et al. [22], Bachher and Sarkar [23], Poonia et al [24] among others.…”

Reflection of plane waves in a nonlocal double poroelastic semiconducting medium with variable thermal conductivity and mass diffusivity

“…Said et al [14] examined the wave propagation in a nonlocal fiber-reinforced thermoelastic medium in the context of multi-phase-lags theory of thermoelasticity with fractional derivative heat transfer. Poonia et al [15] studied the reflection phenomenon of plane waves from the free surface of a rotating nonlocal transversely isotropic thermoelastic medium with voids in the context of L-S theory.…”

“…Poonia et al. [15] studied the reflection phenomenon of plane waves from the free surface of a rotating nonlocal transversely isotropic thermoelastic medium with voids in the context of L‐S theory.…”