The automodel problem of the dynamic unloading of an elasticplastic half-space

We give a solution to a planar automodel problem of multistep high-speed unloading from the boundary of an elasticplastic half-space with a considerable level of accumulated irreversible deformations. Uniqueness in the totality of the arising unload waves (simple or shock waves) is based on the thermodynamics laws and the evolution conditions for propagating deformation discontinuities.