Stationary solution of plane SH-wave scattered by semi-cylindrical canyon in a quarter space

摘要

According to wave function expansion method and image method, the anti-plane steady state response of a plane SH-wave scattered by a semi-cylindrical canyon in a quarter space is analyzed, and the specific form of displacement field and stress field of the elastic wave are obtained. According to the convergence of wave function series, the near field solution is analyzed, and the far field solution of scattering wave by cylindrical canyon is obtained through asymptotic behavior of Hankel function and Graf addition formula. The results show that the wave number, incidence angle and the distance between canyon and vertical boundary greatly affect the stationary solution of SH wave scattering.