The Scattering Of SH-wave By Interfacial Cylindrical Debonding Lining Near Subsurface Cylindrical Cavity And Cylindrical Inclusion

With the acceleration of urbanization construction,the exploitation and utilization of underground space has been paid more and more attention by the society.The scattering and dynamic stress response of elastic waves is one of the key research topics of water conservancy,mining,underground railway and highway tunnel engineering.And the theoretical research have important scientificalnes and practicalness for predicting and analyzing the safety performance of engineering structures.At present,there are abundant research results on scattering of regular defects in whole space and half space,but there is still a lack of research on the interaction of complex defects at the interface and other defects.Based on the combination of the Green function method and the complex function method,the interaction between debonding interfacial lining and cylindrical cavity and inclusion buried near the interface by SH wave is studied in this paper.For the interfacial cylindrical lining hill near subsurface cylindrical cavity in the elastic half space,the dynamic stress concentration of the lower half circle of the lining,the boundary of the semicircular canyon and cylindrical cavity by harmonic line source load is studied.Firstly,the main structure is divided into two parts along common boundary with the idea of "partition";Secondly,Green functions satisfying boundary conditions in the decomposed region are constructed respectively;Finally,it conjoins two domains based on the continuous conditions of the displacement and stress on the split surface,and the infinite algebraic equations with Green function displacement field and stress field are established.In the example,the distributions of the dynamic stress concentration factor around the canyon,the cavity and the lower half circumference of lining are analyzed under the influence of the parameters of the incident wave number,the lining medium ratio,location of line source load,the radius and the buried depth of the cavity.For the interfacial cylindrical debonding lining near subsurface cylindrical cavity and cylindrical inclusion,the effect of cylindrical cavity and cylindrical inclusion embedded in the half space on the dynamic stress concentration at the edge of the lining by SH wave is studied.Firstly,the main structure is divided into two parts along the interface of different media with the idea of "partition".The first part is an elastic half space with a semicircular canyon at the horizontal interface,and the second part is an elastic half space of interfacial lining with cylindrical cavity and inclusion.The second part is further divided into a cylindrical lining and a semicircular canyon with cylindrical cavity and inclusion in the elastic half space.Secondly,Green's functions satisfying the boundary conditions of the upper and lower half-space partition regions are constructed under the effect of the out-of-plane harmonic line source load.Thirdly,the displacement function of incident wave and scattered wave field satisfying the boundary conditions are obtained by the incidence of steady SH wave in the lower half space.Finally,based on the continuous conditions of the displacement and stress on the split surface,the fixed solution integral equations with additional forces and Green's functions are established with the idea of "conjunction",which are solved by the discrete method.In the example,the distribution of the dynamic stress concentration factor around the edge of the lining with the influences of the inclusion medium,the radius and the buried depth of the cavity and the inclusion is discussed.