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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 44–47
DOI: https://doi.org/10.31857/S2686954320060107 (Mi danma133) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Stability analysis of artificial ice islands by methods of mathematical modeling

I. B. Petrov, M. V. Muratov, F. I. Sergeev

Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russian Federation
Full-text PDF (589 kB) Citations (3)
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DOI: https://doi.org/10.31857/S2686954320060107
Abstract: The elastic effects on an artificial ice island produced by drill impacts and the pressure of structures located on the island are numerically modeled. The problem is solved numerically by applying the grid-characteristic method with interpolation on structured and unstructured meshes. The grid-characteristic method most accurately describes dynamic processes in exploration seismology problems, since it takes into account the nature of wave phenomena. The approach used makes it possible to construct correct computational algorithms at the boundaries and interfaces of the integration domain. Elastic wave propagation in the considered geological environment is studied, the stress distribution is simulated, and the stability of the ice island to fracture is analyzed using the von Mises criterion.
Keywords: mathematical modeling, grid-characteristic method, ice island, drill impact, static load.
Funding agency Grant number
Russian Science Foundation 19–11–00023
This work was supported by the Russian Science Foundation, project no. 19-11-00023.
Received: 10.07.2020
Revised: 16.07.2020
Accepted: 15.09.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 483–486
DOI: https://doi.org/10.1134/S1064562420060125
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: I. B. Petrov, M. V. Muratov, F. I. Sergeev, “Stability analysis of artificial ice islands by methods of mathematical modeling”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 44–47; Dokl. Math., 102:3 (2020), 483–486
Citation in format AMSBIB
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\paper Stability analysis of artificial ice islands by methods of mathematical modeling
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 495
\pages 44--47
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\crossref{https://doi.org/10.31857/S2686954320060107}
\zmath{https://zbmath.org/?q=an:1477.74074}
\elib{https://elibrary.ru/item.asp?id=44367200}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
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\pages 483--486
\crossref{https://doi.org/10.1134/S1064562420060125}
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  • https://www.mathnet.ru/eng/danma133
  • https://www.mathnet.ru/eng/danma/v495/p44
    • This publication is cited in the following 3 articles:
    1. D. S. Konov, M. V. Muratov, E. K. Guseva, I. B. Petrov, “Numerical research of mechanical integrity of ice structures considering phase change”, Physical Mesomechanics Of Condensed Matter: Physical Principles of Multiscale Structure Formation and the Mechanisms of Nonlinear Behavior: MESO2022, AIP Conf. Proc., 2899, no. 1, 2023, 020077  crossref
    2. D. S. Konov, M. V. Muratov, E. K. Guseva, I. B. Petrov, “Melting ice structure mechanical sustainability numerical study”, Physical and Mathematical Modeling of Earth and Environment Processes—2022, Springer Proceedings in Earth and Environmental Sciences, 2023, 143  crossref
    3. V. I. Golubev, M. V. Muratov, E. K. Guseva, D. S. Konov, I. B. Petrov, “Thermodynamic and mechanical problems of ice formations: numerical simulation results”, Lobachevskii J. Math., 43:4 (2022), 970  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
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