Localization of crack edge under elastic layer surface displacement

The problem of SH-wave scattering from the semi-infinite crack in the elastic waveguide is considered. The opposite waveguide surfaces are free from stresses. This structure is illumi-nated by one of the normal SH-waves that propagate along the waveguide without attenuation. The displacement of the particles in this wave is perpendicular to the direction of wave propa-gation and has the harmonic dependence on time. The problem is two-dimensional and is reduced to the mixed boundary-value problem for Helmholtz equation with the Neumann boundary conditions. The problem is formulated with respect to the unknown diffracted displacement field. Using the Fourier transform of the displacement and strength fields the problem is transformed to the functional Wiener-Hopf equation. Its exact solution was obtained using the factorization and decomposition methods. The explicit expressions for finding the displacement field were obtained and its numerical analysis was carried out on the layer surfaces for its diagnosis. The influence of the dimensionless thickness of the layer and the depth of the crack location on the distribution of the displacement field on the waveguide surfaces was investigated. Peculiarities of the behavior of the field distribution have been revealed, which allow us to estimate the location of the edge of the crack and the depth of its location.