|
Coupled Systems Mechanics Volume 6, Number 2, June 2017 , pages 157-174 DOI: https://doi.org/10.12989/csm.2017.6.2.157 |
||
|
Effect of fractional order on energy ratios at the boundary surface of elastic-piezothermoelastic media |
||
Rajneesh Kumar and Poonam Sharma
|
||
| Abstract | ||
| In the present investigation reflection and transmission of plane waves at an elastic half space and piezothermoelastic solid half space with fractional order derivative is discussed. The piezothermoelastic solid half space is assumed to have 6 mm type symmetry and assumed to be loaded with an elastic half space. It is found that the amplitude ratios of various reflected and refracted waves are functions of angle of incidence, frequency of incident wave and are influenced by the piezothermoelastic properties of media. The expressions of amplitude ratios and energy ratios are obtained in closed form. The energy ratios are computed numerically using amplitude ratios for a particular model of graphite and Cadmium Selenide (CdSe). The variations of energy ratios with angle of incidence are shown graphically. The conservation of energy across the interface is verified. Some cases of interest are also deduced from the present investigation. | ||
| Key Words | ||
| reflection; piezothermoelastic; fractional order; transmission; elastic; amplitude ratios | ||
| Address | ||
| Rajneesh Kumar and Poonam Sharma: Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India | ||
