This article is cited in 1 paper

Computer simulation of motion of an inhomogeneous granular medium

N. A. Bogulskaya^a, I. O. Bogulskii<sup>ba

a</sup> Siberian Federal University, Krasnoyarsk, 660041, Russia
^b Krasnoyarsk State Agricultural University, Krasnoyarsk, 660049, Russia

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.

UDC: 539.3

Received: 12.09.2019
Revised: 20.10.2019
Accepted: 28.10.2019

DOI: 10.15372/PMTF20200211

 English version: Journal of Applied Mechanics and Technical Physics, 2020, 61:2, 256–262

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