Dynamic behavior of an inhomogeneous piezoelectric/piezomagnetic half space with a circular ring structure under SH wave

Abstract

In this article, the dynamic characteristics of a circular ring structure in an inhomogeneous piezoelectric/piezomagnetic half spaces subjected to anti-plane shear wave is studied. The material parameters are assumed to have an exponential function distribution along the coordinate axis, and the Helmholtz equation includes variable coefficients due to inhomogeneity. First, by introducing new variables, the Helmholtz equation is transformed into standard form. Next, on the basis of boundary conditions, integral equations are setup and solved by applying orthogonal function expansion technique and effective truncation. Results clarified the influence on the dynamic stress concentration factor, electric field intensity concentration factor and magnetic field intensity concentration factor under proper conditions. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article.