Dynamic stress concentration and scattering of SH-wave by interface elliptic cylindrical cavity

TLDR: In this paper, the authors investigated the dynamic stress concentration and scattering of SH-waves by bi-material structures that possess an interface elliptic cavity and derived the solution of the displacement field for an elastic half space with a semi-elliptic canyon impacted by an anti-plane harmonic line source loading on the horizontal surface.

Abstract: In this paper, the dynamic stress concentration and scattering of SH-waves by bi-material structures that possess an interface elliptic cavity are investigated. First, by using the complex function method, the Green’s function is constructed. This yields the solution of the displacement field for an elastic half space with a semi-elliptic canyon impacted by an anti-plane harmonic line source loading on the horizontal surface. Then, the problem is divided into an upper and lower half space along the horizontal interface, regarded as a harmony model. In order to satisfy the integral continuity condition, the unknown anti-plane forces are applied to the interface. The integral equations with unknown forces can be established through the continuity condition, and after transformation, the algebraic equations are solved numerically. Finally, the distribution of the dynamic stress concentration factor (DSCF) around the elliptic cavity is given and the effect of different parameters on DSCF is discussed.