Interaction of SH-wave with a semi-infinite crack in an elastic layer

The distribution of the displacement field on the front surfaces of an elastic layer with an internal crack-type defect is determined for its diagnostics of by an elastic SH-wave. The defect model is an infinitely thin cut whose faces are free of stresses. The corresponding boundary value problem of wave diffraction is formulated and solved by the Wiener-Hopf method. The solution is obtained in analytical form. The features of the field behavior on the layer surfaces are established, which can be used to estimate the defect depth and identify its edge.