Propagation of converging spherical deformation waves in a heteromodular elastic medium
- Authors: Ragozina V.E.1, Dudko O.V.1,2
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Affiliations:
- Institute of Automation and Control Processes, Far Eastern Branch
- Far Eastern Federal University
- Issue: Vol 57, No 4 (2016)
- Pages: 701-708
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159552
- DOI: https://doi.org/10.1134/S0021894416040143
- ID: 159552
Cite item
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 wave fronts in an elastic material with different tensile and compressive strengths is studied. A boundary condition is obtained that provides the formation of a converging spherical shock wave with constant velocity. The impact conditions on the boundary of the heteromodular sphere are determined that can lead to the formation of a transition zone (a spherical layer of constant density) between the compression and tension regions.
About the authors
V. E. Ragozina
Institute of Automation and Control Processes, Far Eastern Branch
Author for correspondence.
Email: ragozina@vlc.ru
Russian Federation, Vladivostok, 690041
O. V. Dudko
Institute of Automation and Control Processes, Far Eastern Branch; Far Eastern Federal University
Email: ragozina@vlc.ru
Russian Federation, Vladivostok, 690041; Vladivostok, 690950