Scattering Of Sh Waves By Circular Holes In An Inhomogeneous Medium With Modulus Density

In this paper, based on the complex function method, the scattering problem of SH wave in inhomogeneous media with continuously varying modulus and density is studied. By introducing the auxiliary function and the negative one half power of the modulus to construct the displacement field function, assuming that the modulus and density are two-dimensional exponential functions, the Helmholtz equation in standard form is solved. Taking the circular hole scattering as an example, the calculation and analysis are conducted considering the influence of non-uniform parameters on the dynamic stress concentration around the circular hole.