Dudko O. V., Ragozina V. E.
Applied Mechanics and Technical Physics
Pleiades Publishing, Ltd.
Vol. 57, No. 4
V. E. Ragozina, O. V. Dudko. Propagation of converging spherical deformation waves in a heteromodular elastic medium // Journal of Applied Mechanics and Technical Physics, 2016, Vol. 57, No. 4, pp. 701–708. DOI: 10.1134/S0021894416040143
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.