Scattering of SH-wave by an elliptical inclusion with partial debonding curve in half-space

Abstract

ABSTRACTFor the purpose of revealing the dynamic properties of elliptical inclusion in the half-space, solving the problem of scattered SH-wave, the method of ‘conformal mapping’ is used to map an elliptical inclusion into a circular inclusion. 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. Then, infinite system of linear equations is established by displacement and stress continuous boundary conditions, to solve unknown coefficients of wave function. Finally, the ‘partial debonding curve model’ is constructed, and the equal stress but opposite in direction is applied in the partial debonding curve. It is obtained the total displacement field of the elliptical inclusion with a partially debonding curve in the half-space. Numerical results demonstrate that dynamic stress concentration factor is influenced in the incident angle, the frequency of incident wave, the depth of inclusions and the partial debonding curve angle.