On New Dispersive SH-Waves Propagating in Piezoelectromagnetic Plate

Aleksey Anatolievich Zakharenko
2015 Open Journal of Acoustics  
This theoretical work discovers four new dispersive shear-horizontal (SH) waves propagating in the transversely isotropic piezoelectromagnetic plate of class 6 mm. In this work, the following mechanical, electrical, and magnetic boundary conditions at both the upper and lower free surfaces of the piezoelectromagnetic plate are utilized: the mechanically free surface, continuity of both the electrical and magnetic potentials, and continuity of both the electrical and magnetic inductions. The
more » ... inductions. The solutions for the new SH-wave velocities (dispersion relations) are found in explicit forms and then graphically studied. The graphical investigation has soundly illuminated several interesting peculiarities that were also discussed. The piezoelectromagnetic materials, also known as the magnetoelectroelastic media, are famous as smart materials because the electrical subsystem of the materials can interact with the magnetic subsystem via the mechanical subsystem, and vice versa. Therefore, it is very important to know the wave characteristics of such (composite) materials because of possible constitution of new technical devices with a high level of integration. It is obvious that the plate waves can be preferable for further miniaturization of the technical devices and used for the nondestructive testing and evaluation of thin piezoelectromagnetic films. A. A. Zakharenko 123 trical, and magnetic subsystems. As a result, an external action on the electrical subsystem can cause some changes in the magnetic subsystem (and vice versa) via the mechanical subsystem. Due to this fact, these smart materials are multi-promising for exploitation in various technical devices such as filters, sensors, actuators, delay lines, lab-on-a-chip, etc. They are also available for nondestructive testing and evaluation, ultrasonic medical imaging, active control of sound and vibration, etc. Today, sensors and actuators are the most prominent transducers used in modern technologies including aerospace industry because they can have high resolution, desirable frequency response, and generate large forces. The important property of linear coupling among mechanical, electrical, and magnetic fields can render piezoelectromagnetic (composite) materials useful in many areas of modern technology. In this endeavor, piezoelectromagnetic composites consisting of combinations of two or more different piezoelectric and piezomagnetic material phases have been designed to meet specific technical needs. Such smart materials are becoming increasingly important in diverse areas of modern technology because they can permit the tailoring of special properties, unavailable in homogeneous phases. As a result, the reader can find much review work on various smart magnetoelectric materials. For instance, some reports published in 2012 and 2013 are listed in [1]- [7] . For many technical applications, it is very important to know the wave properties of bulk and thin-film piezoelectromagnetic materials. This study relates to theoretical investigations of shear-horizontal (SH) acoustic waves in the transversely isotropic (6 mm) piezoelectromagnetic (composite) plates. The theoretical results obtained in this work were not discovered in recent book [8] published in 2012 because they are based on the new nondispersive SH-waves discovered in recent paper [9] published in 2013. It is worth noting that it is preferable to experimentally generate such SH-waves with the noncontact method [10]-[12] called the electromagnetic acoustic transducers (EMATs). So, the following section briefly reviews the theory and the third section provides the obtained explicit forms for the new dispersive SH-waves propagating in the transversely isotropic piezoelectromagnetic plates.
doi:10.4236/oja.2015.53011 fatcat:kenrbhyt2jbplmmzjnf4asehqi