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Chebyshevskii Sbornik, 2023, Volume 24, Issue 5, Pages 208–216
DOI: https://doi.org/10.22405/2226-8383-2023-24-5-208-216 (Mi cheb1383) 		 
This article is cited in 2 scientific papers (total in 2 papers)

BRIEF MESSAGES

Geometric properties of rocks, broken into blocks by cracks

A. Ya. Kanel-Belova, V. V. Pavlovab, V. O. Kirovac

a Magnitogorsk State Nosov Technical University (Magnitogorsk)
b Institute for Problems in Mechanics of the Russian Academy of Sciences (Moscow)
c Lomonosov Moscow State University (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2023-24-5-208-216
Abstract: The splitting of rock massifs into blocks by cracks is considered. Taking as a basis a model in which cracks are systems of unlimited equidistant (i.e. parallel and equidistant) plane systems, the article examines the distribution of blocks by volumes and shapes and presents a method that allows you to find the distribution of blocks not only by volume, as all previously developed methods, but also by other geometric parameters.
Keywords: Combinatorial geometry, space partitioning, self-locking structures.
Funding agency Grant number
Russian Science Foundation 22-19-20073
Received: 17.09.2023
Accepted: 21.12.2023
Document Type: Article
UDC: 517
Language: Russian
Citation: A. Ya. Kanel-Belov, V. V. Pavlova, V. O. Kirova, “Geometric properties of rocks, broken into blocks by cracks”, Chebyshevskii Sb., 24:5 (2023), 208–216
Citation in format AMSBIB
\Bibitem{KanPavKir23}
\by A.~Ya.~Kanel-Belov, V.~V.~Pavlova, V.~O.~Kirova
\paper Geometric properties of rocks, broken into blocks by cracks
\jour Chebyshevskii Sb.
\yr 2023
\vol 24
\issue 5
\pages 208--216
\mathnet{http://mi.mathnet.ru/cheb1383}
\crossref{https://doi.org/10.22405/2226-8383-2023-24-5-208-216}
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  • https://www.mathnet.ru/eng/cheb/v24/i5/p208
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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