On an exact solution of the problem of elastic wave diffraction by a wedge: PMM vol. 40, n≗1, 1976, pp. 190–192

Abstract

The exact solution is obtained for the nonstationary problem of plane longitudinal and transverse elastic wave diffraction by a wedge with the following boundary conditions: normal stresses and tangential displacements are zero. The problem of elastic wave diffraction by a rigid wedge imbedded in an infinite elastic medium without friction has been considered in [1]. Obtaining a closed solution in this case is possible because the boundary conditions for the longitudinal and transverse potentials are separated (until conditions on the edge are taken into account). It has been clarified [2] that in investigating the interaction between elastic waves and plane boundaries the boundary conditions for the potentials are still separated even when the normal stresses and tangential displacements are given on the boundary.