Features of Backscattering of Short Longitudinal Waves on Spatial Defects of Canonical Form Located in Elastic Bodies

Within the framework of the geometric theory of diffraction, based on an explicit analytical expression, the amplitude of displacements in the back-reflected high-frequency longitudinal wave from the surfaces of cavity defects and non-planar cracks in elastic bodies was studied. A detailed numerical analysis of the amplitude of displacements in the case of back-reflection from a cylinder, sphere, triaxial ellipsoid, one-cavity and two-cavity hyperboloids, elliptical and hyperbolic paraboloids for various values of geometric parameters of boundary surfaces was carried out. Graphs of the dependence of the amplitude of displacements on the distance of the source and receiver of the wave from the defect surfaces are constructed. The focal points of the amplitude of displacements in the reflected wave from each type of defects have been established.