Circular Cavities And Circular Inclusion In The Half Space Covering Layer Of SH Wave Scattering

In general,when making materials processing production will inevitably produce a variety of defects,such as cavities and impurity.When the medium or materials containing defects is suffered external force,the defects will generate dynamic stress concentration near the existing location,which is likely to make the material destroy.Therefore,in order to satisfy the needs of practical production,thus makes the analysis of the dynamic stress concentration distribution of defect location becomes extremely important.Compare with other elastic wave SH wave relative is relatively simple,and its theory is quite perfection,but most scholars research sectors are all space and half space rectangular domain interface problems,however,the problems of internal layer above surface is studied by few people.So by using the complex function method,multi-polar coordinate mobile technology and the great circle hypothetical can be solved be half space layer inside the circle cavities and circle inclusion of SH wave scattering problems.Great circle radius were first introduced in to fitting straight boundary of the surface layer,so that you can need not consider SH wave inside the cover reflecting thus to simplify the problem.Then write questions using the Helmholtz theorem of wave function,with the help of boundary conditions and Fourier Hankel series expansion method,the original problem is transformed into solving the wave function of the unknown coefficients of infinite linear algebraic equations,truncation of the infinite system of linear equations of the problem can be obtained.Finally through MATLAB programming to concrete example analyzed vertically adjacent two circle cavities and a circle cavities with a circle inclusion round of SH wave scattering,then the numerical results are given and discuss the material parameter,wave number,the distance between the boundary with cavities center and the distance from the center of circular cavities or circular impurity changes impact on the distribution of the dynamic stress concentration.