Magneto-thermo-elastic plane waves in a rotating micropolar fiber-reinforced solid/liquid media under G–L theory for non-insulated boundary: reflection and transmission

Abstract

The aim of this article is to investigate the reflection and transmission of waves in a rotating micropolar fiber-reinforced thermo-elastic solid and inviscid liquid media under magnetic fields by adopting Green-Lindsay thermo-elasticity for non-insulated boundary. Incident P-wave at the rotating solid and inviscid liquid media yielded four reflected waves via the solid; quasi-longitudinal displacement (qLD), quasi-transverse displacement (qTD), quasi-transverse microrotational (qTM) and quasithermal wave, while two waves are transmitted through the inviscid liquid medium; quasi-Longitudinal transmitted (qLT) wave and quasi-thermal transmitted (qTT) wave. Normal modes approach is used simultaneously with Snell's laws and Maxwell's equations governing electromagnetic fields in determining the solution. Amplitude ratios which correspond to reflected/transmitted waves are presented analytically and graphically. We observed that rotation, magneto-thermo-elastic parameters have varied and significant degree of effects to the modulations and amplitude ratios of the waves. Also, rotation produced increased behaviors to the transmission coefficient of qLT wave at all points in the liquid medium. The study should prove useful in understanding wave phenomena in a rotating micropolar fiber-reinforced magneto-thermo-elastic-acoustic machination fields and future works about the behaviors of seismic waves resulting in fluid interaction especially in the fields of geophysics, physics, optics, oil exploration, etc.