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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2020, Volume 61, Issue 2, Pages 117–124
DOI: https://doi.org/10.15372/PMTF20200211 (Mi pmtf344) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computer simulation of motion of an inhomogeneous granular medium

N. A. Bogulskayaa, I. O. Bogulskiiba

a Siberian Federal University, Krasnoyarsk, 660041, Russia
b Krasnoyarsk State Agricultural University, Krasnoyarsk, 660049, Russia
Full-text PDF (968 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20200211
Abstract: A model of the motion of a granular medium is proposed which is based on the elastic interaction of particles, each of which is an absolutely solid body (a disk in the flat case and a ball in the spatial case) of mass $m$ and radius $r$, surrounded by a sufficiently thin elastic shell. Algorithm for solving the formulated problem is proposed. At each step, the forces and moments of forces arising from the interaction with neighboring particles are calculated. The Cauchy problem for the resulting system of differential equations is numerically solved. Based on the mathematical model, a set of programs has been created that similates the behavior of granular media in moving containers.
Keywords: granular environment, numerical methods, simulation modeling, elastic interaction.
Received: 12.09.2019
Revised: 20.10.2019
Accepted: 28.10.2019
English version:
Journal of Applied Mechanics and Technical Physics, 2020, Volume 61, Issue 2, Pages 256–262
DOI: https://doi.org/10.1134/S002189442002011X
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: N. A. Bogulskaya, I. O. Bogulskii, “Computer simulation of motion of an inhomogeneous granular medium”, Prikl. Mekh. Tekh. Fiz., 61:2 (2020), 117–124; J. Appl. Mech. Tech. Phys., 61:2 (2020), 256–262
Citation in format AMSBIB
\Bibitem{BogBog20}
\by N.~A.~Bogulskaya, I.~O.~Bogulskii
\paper Computer simulation of motion of an inhomogeneous granular medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 2
\pages 117--124
\mathnet{http://mi.mathnet.ru/pmtf344}
\crossref{https://doi.org/10.15372/PMTF20200211}
\elib{https://elibrary.ru/item.asp?id=42694452}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 2
\pages 256--262
\crossref{https://doi.org/10.1134/S002189442002011X}
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  • https://www.mathnet.ru/eng/pmtf/v61/i2/p117
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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