T-Matrix Method of Elastic Wave Scattering on Imperfect Interface

摘要

the T-matrix method of elastic wave scattering in case of imperfect interface is studied in this paper. The traditional T-matrix method is applied to the perfect interface, namely, the displacement and traction vector keep continuous across the interface between the scatterer and the host material. For the imperfect interface, the displacement vector or traction vector jumps across the interface. It is necessary that the traditional T-matrix method should be modified. In this paper, three cases of imperfect interface are considered: 1) traction vector is continuous across interface, but displacement vector jumps; 2). Displacement vector is continuous, but traction vector jumps; 3) both displacement and traction vectors jump. The modification and the specific calculation expression of T-matrix for these imperfect interfaces are discussed. In addition, the symmetricity and the unitity of T matrix in case of imperfect interface are discussed.