Propagation of converging spherical deformation waves in a heteromodular elastic medium

The unsteady one-dimensional boundary-value problem of shock deformation of a medium bounded by a sphere is solved. The propagation of converging deformation wavefronts in an elastic material with different tensile and compressive strength is studied. A boundary condition is obtained that provides the formation of a converging spherical shock wave with constant velocity. The mode of impact on the boundary of the heteromodular sphere is determined in which a transition zone in the form of a spherical layer of constant density can occur between the compression and tension regions.