Wave reflection and transmission in a piezomagnetic right-angle plane with irregular boundaries: a boundary element approach

Abstract

This paper examines the problem of a piezomagnetic right-angle plane with irregular boundaries using the boundary element method. It considers SH waves and line source loads as external forces acting on the piezomagnetic right-angle plane. The effectiveness of the boundary element method is demonstrated through two different numerical examples. Firstly, in the absence of line source loads, the paper analyzes the dynamic characteristics in the first example by employing the image method and Graf addition theorem. Then, it introduces Green’s identities and solves the Green’s function in infinite three-dimensional space. In the second example, the paper investigates the dynamic characteristics when irregular boundaries are subjected to line source loads using the boundary element method. The results elucidate the influence on the dynamic stress concentration factor and magnetic field intensity concentration factor under appropriate conditions. Additionally, the analytical solutions are compared with finite element solutions to validate the accuracy of the conclusions presented in this study.