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Numerical Simulation of the Interaction of a Shock Wave with a Permeable Granulated Layer

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Behavior of Materials under Impact, Explosion, High Pressures and Dynamic Strain Rates

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 176))

Abstract

Solutions to the problems of the action of plane shock waves on a deformable granular layer are obtained. The transformation of waves when passing through an elastoplastic granular layer with and without taking into account the change in the permeability of the layer due to its deformation is investigated. When solving problems, the dependence of the change in the permeability of a layer on its compression is used, which was obtained numerically when modeling the compression of symmetric fragments of granular layers in a spatial setting. A mathematical model is presented that describes in a one-dimensional approximation the interrelated processes of unsteady deformation of flat permeable granular layers, consisting of spherical particles, and wave processes in gas. The model is based on nonlinear equations of the dynamics of two interpenetrating continua. As the interphase forces, the drag forces are taken into account when the gas flows around the spherical particles and the Stokes friction forces. The numerical solution of the equations is carried out according to the modified scheme of S. K. Godunov, adapted to the problems of dynamics of interpenetrating media.

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Abbreviations

SW :

Shock wave

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Acknowledgements

The research was carried out at the expense of the grant of the Russian Science Foundation â„– 20-79-00108.

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Authors and Affiliations

  1. Research Institute of Mechanics, National Research Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    Anatoliy V. Kochetkov & Ivan A. Modin

Authors
  1. Anatoliy V. Kochetkov
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  2. Ivan A. Modin
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Correspondence to Ivan A. Modin .

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Editors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    Maxim Yu. Orlov

  2. Tomsk State University Controls System and Radioelectronics, Tomsk, Russia

    Visakh P. M.

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Kochetkov, A.V., Modin, I.A. (2023). Numerical Simulation of the Interaction of a Shock Wave with a Permeable Granulated Layer. In: Orlov, M.Y., Visakh P. M. (eds) Behavior of Materials under Impact, Explosion, High Pressures and Dynamic Strain Rates. Advanced Structured Materials, vol 176. Springer, Cham. https://doi.org/10.1007/978-3-031-17073-7_9

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  • DOI: https://doi.org/10.1007/978-3-031-17073-7_9

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  • Online ISBN: 978-3-031-17073-7

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