Scattering of Shear Horizontal (SH) Waves by a Circular Hole in an Infinite Piezomagnetic Material

Abstract

The scattering of shear horizontal (SH) waves by a circular hole in an infinite piezomagnetic medium affected by magnetic field and compressive stress has been investigated theoretically in this study. The effective elastic, piezomagnetic, and magnetic permeability constants of the piezomagnetic material change with the external magnetic field and compressive stress. The governing differential equations for SH waves scattered by a circular hole are solved using the wave function expansion method. The effects of the magnetic field and compressive stress on mechanical displacement, dynamic stress, and magnetic potential of SH waves around a circular hole are discussed in detail. It has been found that the mechanical displacement around the circular hole increases with magnetic field and decreases with compressive stress. As the magnetic field increases, the maximum dynamic stress increases and structural resonance is strengthened. The findings presented in this study are beneficial for improving the performance of magnetoelastic acoustic wave devices.