Nonstationary wave processes in the spherical shell—two-layer soil medium system

Authors

  • V.F. Meish S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev
  • Yu.A. Meish S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2018.07.040

Keywords:

nonstationary processes, numerical methods, spherical shell, spherical waves, two-layer soil medium

Abstract

Nonstationary processes of propagation of spherical waves in the spherical shell—two-layer soil medium system are considered. Each layer of the soil medium is described within the framework of the behavior of a threecomponent soil medium, according to the equations of continuum mechanics. To solve these problems, the Mac-Cormack finite-difference scheme is used. The regularities of propagation of pressure waves in this system are given.

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References

Golovko, K. G., Lugovoi, P. Z. & Meish, V. F. (2012). Dynamics of inhomogeneous shells under nonstationary loads. Kyiv: Publ. Center "Kyiv University" (in Russian).

Lyakhov, V. M. (1982). Waves in soils and porous multicomponent media. Moscow: Nedra (in Russian).

Luchko, I. A., Plaksii, V. A., Remez, N. S. etc. (1989). Mechanical effect of the explosion in soils. Kiev: Naukova Dumka (in Russian).

Rozhdestvensky, B. L. & Yanenko, N. I. (1978). Systems of quasilinear equations and their application to gas dynamics. Moscow: Nauka (in Russian).

Fletcher, K. (1991). Computational methods in the dynamics of liquids. Vol. 2. Moscow: Mir (in Russian).

Published

15.05.2024

How to Cite

Meish, V., & Meish, Y. (2024). Nonstationary wave processes in the spherical shell—two-layer soil medium system . Reports of the National Academy of Sciences of Ukraine, (7), 40–45. https://doi.org/10.15407/dopovidi2018.07.040