Propagation of converging spherical deformation waves in a heteromodular elastic medium


2016

Дудко О. В., Рагозина В. Е.

Статьи в журналах

Journal of Applied Mechanics and Technical Physics

Pleiades Publishing, Ltd.

Vol. 57, No. 4

701-708

0.274

0021-8944

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.

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