Analysis of wave propagation in micropolar thermoelastic media incorporating hyperbolic two temperature effects with framework of modified Green-Lindsay theory

The study examines the behaviour of waves propagating through a homogeneous, isotropic thermoelastic medium under modified micropolar Green-Lindsay (MMG-L) model along with hyperbolic two-temperature (HTT) parameter. The governing Eqs. are formulated and explained after reducing to two dimension and a dimensionless form. Amplitude ratios are obtained for various waves namely Longitudinal waves (LD-wave), Transverse wave (T-wave), Coupled Displacement-I wave (CD-I wave) and Coupled Displacement-II wave (CD-II wave), for the considered model. This article distinctively explores the influence of the HTT parameter on wave propagation within the modified Green-Lindsay (MG-L) model. Amplitude ratios are presented graphically to depict the influence of HTT parameter along with different models of thermoelasticity namely the MG-L and Green-Lindsay (G-L) model. Also, the graphically presented results shows the potential applications in geophysics, seismology and earthquake engineering providing valuable insights into wave interaction dynamics within micro-structured materials. Some special cases are also deduced from the present investigation.