This short paper has the purpose to discuss different coupling mechanisms that can be revealed in the coefficient of the magnetoelectromechanical coupling (CMEMC). Concerning the propagation problems of the shear-horizontal acoustic waves in the piezoelectromagnetics such as bulk homogeneous materials, inhomogeneous composites, and homogeneous plates, these CMEMC coupling mechanisms must be accounted to obtain wave characteristics in various configurations exploiting the smart piezoelectromagnetic materials. Indeed, many wave characteristics are already known for the shear- horizontal waves such as the surface, interfacial, and plate acoustic waves. It is obvious that they can have potential applications in the physical, biological, and chemical sensors, non-destructive testing and evaluation, etc.
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