Dynamic responses of a plate with two circular cavities subjected to SH waves

Abstract

This paper focuses on the scattering of SH waves by two circular cavities in an elastic plate. In the course of this study, wave function unfolding combined with the complex function, the mirror method, and the multi-polar coordinate translation technique are used to derive the incident and scattered conductive waves that fit the free conditions of stress on the upper and lower surface of the band domain. Then according to the stress free conditions of the edge of cylindrical hole, the infinite linear algebraic equations system is obtained. The unknown coefficients are finally calculated by intercepting the finite terms. The results show that when two cylindrical cavities of the same size are present within the plate, the presence of cavity 2, in most cases, leads to an increase in the concentration of kinetic stress along the edges of cavity 1; When two cylindrical cavity sizes are different, at medium and high frequency incidence, the enlargement of cavity 2 will lead to an increase in the kinetic stress concentration of cavity 1.