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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2023 Volume 24, Issue 5, Pages 208–216 (Mi cheb1383)

This article is cited 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)

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.

UDC: 517

Received: 17.09.2023
Accepted: 21.12.2023

DOI: 10.22405/2226-8383-2023-24-5-208-216



© Steklov Math. Inst. of RAS, 2026