Reflection of elastic waves at the boundary with the specified stresses
The problem of elastic waves reflection at the boundary at given constant stresses is considered. Provided that the reflection laws are fulfilled, analytical expressions are obtained for the reflection coefficients of longitudinal and transverse waves, which allow us to determine the deformations amplitudes at the boundary. The dependences of the reflections coefficients and strain components at the boundary on the angle of incidence of the wave are calculated at nonzero values of normal and tangential stresses at the boundary and the specified wave parameters. The obtained results are analyzed and compared with the known results for the free surface.