Propagation of Converging Spherical Deformation Waves in a Heteromodular Elastic Medium
V. E. Ragozina1, O. V. Dudko1,2
1Institute of Automation and Control Processes Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia
2Far Eastern Federal University, Vladivostok, 690950, Russia
Keywords: упругость, разномодульность, динамика деформирования, разрыв деформаций, сходящаяся сферическая волна, ударная волна, elasticity, heteromodular, deformation dynamics, discontinuity of deformations, converging spherical wave, shock wave
Abstract
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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