Study of SH wave propagation in Piezo-material semiconductors with differential imperfect contact mechanism by approximating higher-order quasi-classical method

This study investigates the propagation of a Love-type wave in a multiferroic solid cylindrical shell structure with an imperfect magneto-electroelastic (MEE) interface. An analytical solution for the layer is derived using the spatially variable Quasi-Classical approach. A numerical example illustrates the significant impact of various parameters on the wave's phase velocities and attenuation coefficients. Additionally, graphical comparisons are presented to evaluate the effects of mechanical, electrical, magnetic, electro-mechanical, magneto-mechanical, and magneto-electrical imperfections under electrically and magnetically open and short boundary conditions. The results reveal that the electrically and magnetically open case exhibits significantly higher phase velocities compared to the short case. Key findings are the following: the bonding parameter is directly proportional to phase velocity but inversely proportional to the attenuation coefficient, and imperfection parameters profoundly influence both the phase velocity and attenuation coefficient profiles. This theoretical study provides valuable insights into piezoelectric and piezomagnetic coupling mechanisms, highlighting their potential applications in designing advanced devices such as sensors, actuators, energy harvesters, and nano-electronic systems. The novelty of this work lies in the application of the Quasi-Classical approach to solving differential equations for the first time in a polar coordinate system.