Reflection of plane waves in an initially stressed rotating nonlocal micropolar transversely isotropic generalized thermoelastic medium

Abstract

The objective of this study is to investigate the reflection phenomena of plane waves from the free surface of an initially stressed rotating nonlocal micropolar transversely isotropic generalized thermoelastic half-space considering Lord–Shulman (LS) and Green–Lindsay (GL) theory. Closed-form expressions for the phase velocities of reflected quasi-longitudinal displacement (qLD), quasi-transverse displacement (qTD), quasi-transverse microrotation (qTM) and quasi-thermal (qT) waves are derived, and boundary conditions yield a system of algebraic equations to determine reflection coefficients. Energy ratios of the reflected waves are also calculated, and it is observed that the law of conservation of energy holds good in the entire reflection phenomena. Numerical results for phase velocity and reflection coefficients are computed using MATLAB examining the effects of initial stress, rotation and nonlocal parameters. Comparisons between micropolar transversely isotropic thermoelastic (MTIT) and nonlocal micropolar transversely isotropic thermoelastic (NMTIT) media highlight the significant influence of these parameters on wave behavior. The model is validated by reducing the problem to a specific case and matching it with established results. The findings are graphically demonstrated providing new insights into wave propagation in anisotropic micropolar thermoelastic materials and significant influences of initial stress, rotation and nonlocal parameters on phase velocity and reflection coefficients offering insights for geophysical exploration.