Scattering Of Circular Lining And Hole Impacted By Transmission Of SH-wave In A Half Space With Bi-material Medium

In order to meet and guide the demand on the theoretical study and the engineering practice better,this paper continues to explore scattering effect of SH wave in a half space with bi-material medium by the interface defects that near the transmission,and the problem about the dynamic stress concentration of the defects.Specifically,this paper apply multipolar coordinate mobile technology,wave function expansion method and Green function method to investigate scattering effect of SH wave by circular lining and holes in a half space with bi-material medium,using the numerical simulation method at the same time.Specific content is as follows:Construct Green function and transmission SH wave in two-phase medium.In the first place,according to the idea of partition,divide the two-phase medium half space into two rectangular domain,one of them contains circular lining,appling the image method and the wave function expansion method to constructe the steady-state solution which can satisfy the steady-state solution of the boundary conditions respectively,namely Green function.At the second place,according to the mirror image method,considering the plane wave propagation in the two-phase medium half space,the reflection and transmission;applying the wave function expansion method,then using the method of mirror to discusse the scattering of transmission of SH wave by circular lining,and receive the analytical expression of the steady state solution.Throughing the calculation of definite solution problems with scattering effect of transmission steady-state SH wave,this paper achieves steady-state analysis for transmission of SH wave in two-phase medium by holes.Plane SH waves propagates from the medium I into medium II in bipolar elastic half space,causing the scattering by a round hole in medium II,according to the description of complex function,it gets steady state analysis by applying Green function and the integral equation method.Dividing Two-phase medium half space into a quarter of the space medium I and a quarter of the space medium II which contains a hole,constructing antiplane point load Green function respectively in the medium I to medium II.According to the the processing method of plane SH waves in two-phase medium,receiving plane displacement wave in the medium I and II,multiplying with the interaction between them and the corresponding Green function,it gets all the displacement field of dielectric medium I and II by the product of the integral along the interface.According to the displacement continuity conditions of the interface,the definite integral equations,obtaining the steady-state solution.The numerical result reflects the position of the hole and the influence of scattering by the parameters of media.