The Interaction Between Lining And SH-waves In Anisotropic Elastic Half Space

Elastic wave theory is a traditional and new research subject in solid mechanics,and it had made great progress in theory and application over the centuries.The main study in this paper was the interaction between SH waves and lining structure on anisotropic elastic half-space.In this paper,by using the methods of complex variable,we got the solution of scattering waves caused by lining when SH-waves propagated in the anisotropic elastic half space.According to boundary conditions,the coefficients of the scattered waves were solved.The results were verified by the degradation of the model to the problem of the hole in the isotropic elastic space.By an actual example,we studied the distributions of dynamic stress concentration factor of the lining's surrounding and surface displacement in anisotropic elastic half space,and discussed the influence of the dynamic stress concentration factor and surface displacement to dimensionless parameters of different lining,anisotropy,wave number,lining thickness,buried depth and so on.In order to consider the effect of topographic factors,we generalized the solving method to the scattering problem of SH waves in anisotropic elastic half space contain an sag and lining,and got the analytical solution of interaction between the sag and lining in anisotropic elastic half space.Through numerical example,we studied the distribution of dynamic stress concentration factor of lining's surrounding and the surface displacement in the anisotropic elastic half space contain an sag,and discussed the influence of the dynamic stress concentration factor and surface displacement to dimensionless parameters of different lining,anisotropy,sag's size,buried depth and so on.