Interaction of a one-dimensional unloading wave with an elastoplastic boundary in an elastoviscoplastic medium

This paper presents a solution of the boundary-value problem of the theory of large elastoviscoplastic strains for the development of viscoplastic flow in a heavy layer of material located on an inclined plane and subjected to loading at the free surface with subsequent instantaneous removal of the load. This discontinuous change in the boundary conditions gives rise to a surface of strain discontinuity propagating in the medium and called an unloading wave. The reflection of the wave from the elastoviscoplastic boundary and its motion after reflection from the fixed plane and the free surface are considered.