Analysis on different types of imperfect interfaces between two dissimilar piezothermoelastic half-spaces on reflection and refraction phenomenon of plane waves

This paper presents an analytical treatment of the study of reflection and refraction characteristics of plane waves at different types of imperfect interfaces between two dissimilar, piezothermoelastic half-spaces. The classical dynamical coupled theory, Lord-Shulman theory and Green-Lindsay theory have been employed to investigate the problem. The existence of four types of plane waves (qP, qSV, T-mode and EA waves) has been observed in the two-dimensional model of the piezothermoelastic media. The imperfection at the interface has been classified into seven types, viz. normal stiffness boundary, transverse stiffness boundary, thermal contact conductance, slip boundary, welded contact, complete debonding and electric imperfection. The closed form expressions of the amplitude ratios of reflected and refracted waves have been obtained which established their dependency on the angle of incidence, the bonding parameters and the properties of the media. The impact of the aforementioned parameters in the aforesaid three theories of thermoelasticity has been extensively studied and demonstrated in graphs. This study may find noteworthy practical applications towards optimization of design and fabrication of surface wave filter devices and temperature sensors and also may be useful for achieving a superior performance in surface acoustic wave devices (such as filters, oscillators, amplifiers etc.).