Scattering of SH-Waves by Cylindrical Lining Debonded Near Bi-Material Interfaces

In this study, Green's function and complex function methods are adopted to analyze the scattering of SH-waves by a cylindrical elastic lining in a semicircular debonded curve in lower space. A numerical solution to the dynamic stress concentration factor is calculated in the following way. Firstly, the whole space was divided into two parts along the interface, defined the upper and lower parts. The Green's function was constructed in the upper half space which was an essential solution of displacement field for the elastic half space possessing the semi-cylindrical hill contains a cylindrical elastic inclusion while bearing out-of-plane line source load at any point of the horizontal surface. Secondly, The Green's function should satisfy the continuous conditions at the conjunction area when the upper and lower parts are joined, therefore a semicircular debonded curve was constructed, and then the expressions of displacement field and stress field were formulated. Finally, some examples of dynamic stress concentration factors around an inclusion and the debonded curve were calculated. The influence of the cylindrical inclusions and different medium parameters on dynamic stress concentration factors is discussed. It is found that dynamic stress concentration factors increase in the proximity of the debonded curve.