Reflection of plane waves in a fraction-order generalized magneto-thermoelasticity in a rotating triclinic solid half-space
Anand Kumar Yadav
Abstract
The present research work is the analysis of the reflection problem in a magnetized rotating triclinic solid half-space in the presence of a temperature field. The governing equations of a rotating triclinic magneto-thermoelastic medium in the context of a fraction-order derivative generalized thermo-elasticity are formulated and solved to obtain the velocity equation. Plane-wave solution indicates the existence of three quasi plane waves namely quasi longitudinal displacement (qP) wave, quasi thermal (qT) wave and quasi shear vertical (qSV) wave. A reflection phenomenon for the incidence of a coupled quasi plane wave for a thermally insulated surface is studied. The expressions for the reflection coefficient and energy ratio are derived. The effect of rotation, magnetic field, anisotropy, fractional-order and thermal parameters on the reflection coefficient and energy ratio is shown graphically.