Reflection of plane waves in a fraction-order generalized magneto-thermoelasticity in a rotating triclinic solid half-space

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 ($\mathit{qSV}$) 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.

Keywords:

• Anisotropy
• energy ratio
• fractional-order thermoelasticity
• magnetic field
• reflection coefficient
• rotation
• triclinic

Disclosure statement

There is no conflict of interests.