The Scattering Of SH-wave From Debonding Cylindrical And Circular Cavity Inclusion In Belt Region

This paper is based on the Elastic wave theory, doing research an elastic dynamics problem of the scattering of SH-wave from debonding cylindrical and circular cavity inclusions in Belt Region. The idea of the paper is as following, firstly, to solve this problem and get the solution of dynamic stress intensify factor, the complex variable function method and the wave function expansion method have been used. According to the attenuation characteristic of SH-wave scattering, apply the large arc assumed law method,which use a big radius circular’s arc boundary to fit with the straight edge. The belt region is approximated in circular arc of the concentric circles. The application of this method, effectively to avoid the difficulties from wave refraction in the field, greatly simplifies the calculation.Secondly,according to the Helmholtz theorem,write the displacement and stress in the form of elastic wave, and set out in advance a general wave function of the problem with unknown parameters.According to the specific boundary conditions, apply the complex Fourier-Hankel series expansion and get an infinite linear algebra equations and the expression of the dynamic stress intensify factor. Through the Fortran programming, acquire the coefficient, and draw the distribution curve of dynamic stress intensify factor.Finally, analyzied the influential factors. Two examples are given and results of dynamic stress concentration factor around the cylindrical and difference parameters of mediators are presented and discussed, such as the incident wave number, medium parameters and the distance of cylindrical and circular cavity.