The simple wave solutions with one compression and two shear impact loadings on the boundary of a half space of isotropic hardening material are obtained. Both the fast simple wave and slow simple wave solutions imply a radial loading projection in the τ2, τ3 plane; i.e., in the plane of shear stress components. But the radial loading τ32 ratio for the fast wave may be different from the ratio for the slow wave. The transition is accompanied by jumps both in τ2 and τ3 traveling at the elastic shear wave speed c2.

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