Vibrations of elastic half-space containing two radiating defects of finite length

The paper is devoted to the study of the dynamic problem of steady vibrations arising in the massive elastic body in the initial pre-destructive stage of its material under antiplane deformation. Vibrations are generated by two radiating defects in the body. Mathematical statement of problem mentioned above is reduced to mixed boundary value problems for Helmholtz equation. The method to find its solution is based on reducing ones to the equivalent system of boundary integral equations. Solvability problem of equations is studied and the structure of its solution is established. The problem in question is connected with mathematical description of wave field when realizing non-destructive testing based on acoustic emission phenomena.