Scattering Of Sh-wave By An Elliptical Inclusion With Partial Debond Curve And Circular Cavity In Half Space

With the rapid development of social economy,the acceleration of urbanization has put forward higher requirements for underground engineering.The influence of elastic wave scattering and dynamic stress concentration on engineering seismic and geological exploration has become one of the important research topics,Which is of great significance to the underground engineering structure.At present,the study of scattering of SH waves in the shape of regular defects in full space,half space and quarter space already has a relatively mature theoretical system,however,some problems such as irregular defects and composite defects are few relatively,and some boundary value problems have not been solved.For the purpose of revealing the dynamic properties of elliptical and entrapped inclusion in the half-space,solving the problem of scattered SH-wave by the methods of complex function and Green's function,the method of conformal mapping is used to map the elliptical inclusions into circular inclusions.The displacement field and the stress field of the elliptical inclusion while bearing out-plane line source load are obtained by Green's function method.Secondly,solving unknown coefficients of wave function,according to infinite system of linear equations are established by the displacement and stress continuous boundary conditions.Finally,the partial debond curve model is constructed.For the scattering of SH-wave by elliptical inclusion with partial debond curve and circular cavity in half space,on the basis of the boundary conditions,which are continuous around the elliptical inclusion with the displacement and stress,but free around circular cavity and partial debond curve,therefore,infinite system of linear equations can be established through these boundary conditions to solve unknown coefficients of wave function.The partial debond curve model is constructed,and the equal stress but opposite in direction is applied in the partial debond curve.It is obtained the total displacement field of the elliptical inclusion with a partially debond curve and circular cavity in the half space.Finally,the distribution of dynamic stress concentration factor is obtained by numerical analysis.