Response of fractional order on energy ratios at the boundary surface of fluid-piezothermoelastic media

Abstract

In the present investigation, the phenomenon of reflection and transmission of plane waves from the interface between fluid half space and transversely isotropic piezothermoelastic solid half space with fractional order derivative is discussed. Energy ratios are computed with the use of amplitude ratios. The law of conservation of energy across the interface is verified. It is found that the energy ratios are the functions of angle of incidence, frequency of independent wave and depend on the different piezothermoelastic material. Cadmium selenide (CdSe) piezothermoelastic material has been considered which is in welded contact with water. Variations of energy ratios corresponding to the reflected and transmitted waves with respect to different values of fractional order derivative are shown graphically. A particular reduced case is also discussed.