The scattering of an harmonic elastic wave by a volume inclusion with a thin interlayer

The boundary element method is used to investigate the propagation of harmonic elastic waves in an infinite matrix with a volume inclusion with a thin interlayer between the inclusion and the matrix. A boundary-integral formulation of the problem is based on a consideration of a two-phase medium, consisting of the matrix and the inclusion, on the contact surface of which conditions of proportional dependence between the forces and jumps in the displacements, which model the interlayer, are satisfied. These conditions are taken into account implicitly in the boundary integral equations obtained, which are subsequently regularized and discretized on the grid of boundary elements introduced. The numerical results obtained demonstrate the effect of the interlayer on the dynamic contact stresses for a spherical inclusion in the field of a plane longitudinal wave.